{ "algorithm_count": 7, "algorithms": [ { "caution": "The regular footprint is partly guaranteed by fixed out-degree.", "claim": "bounded navigational identity; membership does not claim that the sixth neighbor is absolutely close", "diagnostic_case_summary": { "direct_degree": { "count": 4, "maximum": 6.0, "mean": 6.0, "median": 6.0, "minimum": 6.0, "q10": 6.0, "q90": 6.0, "zero_count": 0 }, "effective_node_count": { "count": 4, "maximum": 55.08784777401171, "mean": 33.032230222905596, "median": 30.234506267475908, "minimum": 16.57206058265887, "q10": 16.773170787048198, "q90": 51.52946882310676, "zero_count": 0 }, "field_mass": { "count": 4, "maximum": 14.260850647480432, "mean": 11.712234346859216, "median": 11.172370065863303, "minimum": 10.243346608229825, "q10": 10.334380091916653, "q90": 13.52198002659851, "zero_count": 0 }, "reach_count": { "count": 4, "maximum": 61.0, "mean": 36.25, "median": 33.0, "minimum": 18.0, "q10": 18.3, "q90": 56.800000000000004, "zero_count": 0 }, "visible_count": { "count": 4, "maximum": 57.0, "mean": 34.5, "median": 32.0, "minimum": 17.0, "q10": 17.3, "q90": 53.7, "zero_count": 0 }, "weighted_world_radius": { "count": 4, "maximum": 0.4176515037357235, "mean": 0.26308605673587127, "median": 0.2584214650508806, "minimum": 0.11784979310600033, "q10": 0.15165855351410842, "q90": 0.37824523330562665, "zero_count": 0 } }, "graph": "ranked", "id": "ranked-path", "label": "Nearest six · path product", "score": "path-product", "status": "baseline", "visual_interpretation": "A medium-sized, evenly branched footprint whose fading is mostly a record of hop count." }, { "caution": "One cutoff can turn a continuous boundary into a hard cliff.", "claim": "absolute connectivity; concepts with no qualifying edge remain visibly isolated and dense regions may have more than six edges", "diagnostic_case_summary": { "direct_degree": { "count": 4, "maximum": 46.0, "mean": 21.0, "median": 19.0, "minimum": 0.0, "q10": 0.0, "q90": 43.6, "zero_count": 2 }, "effective_node_count": { "count": 4, "maximum": 107.80018273251301, "mean": 53.71890294376142, "median": 53.537714521266345, "minimum": 0.0, "q10": 0.0, "q90": 107.58275662551891, "zero_count": 2 }, "field_mass": { "count": 4, "maximum": 56.84283923416016, "mean": 27.928514293784875, "median": 27.43560897048967, "minimum": 0.0, "q10": 0.0, "q90": 56.25135284620591, "zero_count": 2 }, "reach_count": { "count": 4, "maximum": 114.0, "mean": 57.5, "median": 57.5, "minimum": 1.0, "q10": 1.0, "q90": 114.0, "zero_count": 0 }, "visible_count": { "count": 4, "maximum": 113.0, "mean": 56.5, "median": 56.5, "minimum": 0.0, "q10": 0.0, "q90": 113.0, "zero_count": 2 }, "weighted_world_radius": { "count": 4, "maximum": 0.31631206367184983, "mean": 0.14565843745526527, "median": 0.13316084307460563, "minimum": 0.0, "q10": 0.0, "q90": 0.3013149504150583, "zero_count": 2 } }, "graph": "absolute-threshold", "id": "absolute-threshold", "label": "Cosine ≥ 0.60 · path product", "score": "path-product", "status": "keep", "threshold": 0.6, "visual_interpretation": "Either a blank field or a saturated component: the visual bifurcation is the evidence this lens contributes." }, { "caution": "Reciprocity can reject a real relation near a dense hub.", "claim": "Keep a ranked edge only when both endpoints choose each other.", "diagnostic_case_summary": { "direct_degree": { "count": 4, "maximum": 6.0, "mean": 3.25, "median": 3.5, "minimum": 0.0, "q10": 0.30000000000000004, "q90": 6.0, "zero_count": 1 }, "effective_node_count": { "count": 4, "maximum": 16.57206058265887, "mean": 11.091422724494354, "median": 13.896815157659272, "minimum": 0.0, "q10": 3.437319298276501, "q90": 16.501212204180273, "zero_count": 1 }, "field_mass": { "count": 4, "maximum": 10.546791553852584, "mean": 6.098253835367132, "median": 6.92311189380797, "minimum": 0.0, "q10": 1.188779314935258, "q90": 10.347841909046334, "zero_count": 1 }, "reach_count": { "count": 4, "maximum": 18.0, "mean": 12.5, "median": 15.5, "minimum": 1.0, "q10": 4.6000000000000005, "q90": 18.0, "zero_count": 0 }, "visible_count": { "count": 4, "maximum": 17.0, "mean": 11.5, "median": 14.5, "minimum": 0.0, "q10": 3.6000000000000005, "q90": 17.0, "zero_count": 1 }, "weighted_world_radius": { "count": 4, "maximum": 0.21351816468130763, "mean": 0.11479081742981012, "median": 0.12282255251896644, "minimum": 0.0, "q10": 0.035354937931800105, "q90": 0.18780130885649512, "zero_count": 1 } }, "graph": "mutual-ranked", "id": "mutual-ranked-path", "label": "Mutual nearest", "score": "path-product", "status": "candidate", "visual_interpretation": "Small reciprocal islands with fewer one-way spokes and visibly harder boundaries." }, { "caution": "Fading says direct root affinity, not path unreliability.", "claim": "bounded reach membership with intensity set by each reached concept's direct cosine similarity to the selected origin", "diagnostic_case_summary": { "direct_degree": { "count": 4, "maximum": 6.0, "mean": 6.0, "median": 6.0, "minimum": 6.0, "q10": 6.0, "q90": 6.0, "zero_count": 0 }, "effective_node_count": { "count": 4, "maximum": 23.50947988771672, "mean": 16.546357237099897, "median": 17.046659843681734, "minimum": 8.5826293733194, "q10": 11.047478347204565, "q90": 21.64499404172976, "zero_count": 0 }, "field_mass": { "count": 4, "maximum": 12.662306000000001, "mean": 7.970353000000001, "median": 9.211381000000001, "minimum": 0.7963440000000005, "q10": 2.514807000000001, "q90": 12.433076600000001, "zero_count": 0 }, "reach_count": { "count": 4, "maximum": 61.0, "mean": 36.25, "median": 33.0, "minimum": 18.0, "q10": 18.3, "q90": 56.800000000000004, "zero_count": 0 }, "visible_count": { "count": 4, "maximum": 24.0, "mean": 15.25, "median": 17.5, "minimum": 2.0, "q10": 6.500000000000001, "q90": 22.200000000000003, "zero_count": 0 }, "weighted_world_radius": { "count": 4, "maximum": 0.2512335909453609, "mean": 0.17012946202794868, "median": 0.17434231111766677, "minimum": 0.08059963493110027, "q10": 0.09252705922846668, "q90": 0.2443615855556562, "zero_count": 0 } }, "graph": "ranked", "id": "origin-affinity", "label": "Nearest-six reach · origin affinity", "score": "origin-affinity", "status": "keep", "visual_interpretation": "A bounded footprint with distant-in-meaning members fading out even when the traversal can still reach them." }, { "caution": "A mean can conceal a single weak bridge.", "claim": "bounded reach membership with intensity set by the candidate's mean cosine similarity to every earlier concept on its chosen path", "diagnostic_case_summary": { "direct_degree": { "count": 4, "maximum": 6.0, "mean": 6.0, "median": 6.0, "minimum": 6.0, "q10": 6.0, "q90": 6.0, "zero_count": 0 }, "effective_node_count": { "count": 4, "maximum": 54.63399002825373, "mean": 33.59771361084863, "median": 31.43111950171658, "minimum": 16.894625411707636, "q10": 17.098380110236235, "q90": 51.83032239876667, "zero_count": 0 }, "field_mass": { "count": 4, "maximum": 16.84247366666667, "mean": 13.622386083333335, "median": 13.038620333333334, "minimum": 11.569830000000003, "q10": 11.934224400000002, "q90": 15.77756036666667, "zero_count": 0 }, "reach_count": { "count": 4, "maximum": 61.0, "mean": 36.25, "median": 33.0, "minimum": 18.0, "q10": 18.3, "q90": 56.800000000000004, "zero_count": 0 }, "visible_count": { "count": 4, "maximum": 49.0, "mean": 32.5, "median": 32.0, "minimum": 17.0, "q10": 17.3, "q90": 48.1, "zero_count": 0 }, "weighted_world_radius": { "count": 4, "maximum": 0.4495394580528393, "mean": 0.29131357659489304, "median": 0.29709271979059904, "minimum": 0.12152940874553478, "q10": 0.1578847187583195, "q90": 0.4201191198749018, "zero_count": 0 } }, "graph": "ranked", "id": "path-cohesion", "label": "Nearest-six reach · path cohesion", "score": "path-cohesion", "status": "experimental", "visual_interpretation": "Broad, comparatively even halos because a candidate can agree with the route context despite weak direct origin affinity." }, { "caution": "One noisy edge can suppress an otherwise coherent route.", "claim": "Let the weakest edge cap every selected route.", "diagnostic_case_summary": { "direct_degree": { "count": 4, "maximum": 6.0, "mean": 6.0, "median": 6.0, "minimum": 6.0, "q10": 6.0, "q90": 6.0, "zero_count": 0 }, "effective_node_count": { "count": 4, "maximum": 53.641217611636556, "mean": 33.60201557321864, "median": 31.908610497543826, "minimum": 16.949623686150318, "q10": 17.222160578434067, "q90": 51.33659462854304, "zero_count": 0 }, "field_mass": { "count": 4, "maximum": 19.77670312340443, "mean": 13.725186256774851, "median": 13.945322896344763, "minimum": 7.233396111005443, "q10": 9.214844912498844, "q90": 18.059418289394927, "zero_count": 0 }, "reach_count": { "count": 4, "maximum": 61.0, "mean": 36.25, "median": 33.0, "minimum": 18.0, "q10": 18.3, "q90": 56.800000000000004, "zero_count": 0 }, "visible_count": { "count": 4, "maximum": 46.0, "mean": 27.75, "median": 24.0, "minimum": 17.0, "q10": 17.3, "q90": 41.2, "zero_count": 0 }, "weighted_world_radius": { "count": 4, "maximum": 0.4604869812734893, "mean": 0.3011453612042944, "median": 0.310561600900516, "minimum": 0.12297126174265637, "q10": 0.16461910035115196, "q90": 0.4301386303004596, "zero_count": 0 } }, "graph": "ranked", "id": "ranked-bottleneck", "label": "Weakest-link path", "score": "path-bottleneck", "status": "candidate", "visual_interpretation": "Branch-level plateaus: one weak bridge dims every descendant beyond it." }, { "caution": "The probability-union display treats correlated paths as support.", "claim": "Accumulate support from every simple route within three hops.", "diagnostic_case_summary": { "direct_degree": { "count": 4, "maximum": 6.0, "mean": 6.0, "median": 6.0, "minimum": 6.0, "q10": 6.0, "q90": 6.0, "zero_count": 0 }, "effective_node_count": { "count": 4, "maximum": 47.087467383845635, "mean": 29.877713121673743, "median": 27.94518088374336, "minimum": 16.533023335362607, "q10": 16.61400685237981, "q90": 44.68744518131198, "zero_count": 0 }, "field_mass": { "count": 4, "maximum": 24.296680980960346, "mean": 19.19627031514664, "median": 19.119729890323118, "minimum": 14.248940498979989, "q10": 14.382135919168725, "q90": 24.07163705098338, "zero_count": 0 }, "reach_count": { "count": 4, "maximum": 61.0, "mean": 36.25, "median": 33.0, "minimum": 18.0, "q10": 18.3, "q90": 56.800000000000004, "zero_count": 0 }, "visible_count": { "count": 4, "maximum": 57.0, "mean": 34.5, "median": 32.0, "minimum": 17.0, "q10": 17.3, "q90": 53.7, "zero_count": 0 }, "weighted_world_radius": { "count": 4, "maximum": 0.38412797542459126, "mean": 0.24181500665628497, "median": 0.23293120594836705, "minimum": 0.11726963930381451, "q10": 0.14575876375042615, "q90": 0.34497829012847814, "zero_count": 0 } }, "graph": "ranked", "id": "ranked-multipath", "label": "Multipath support", "score": "multipath-support", "status": "candidate", "visual_interpretation": "Bright convergence hotspots where several routes support the same target; redundant hubs can quickly saturate." } ], "case_count": 4, "cases": [ { "arms": [ { "caution": "The regular footprint is partly guaranteed by fixed out-degree.", "claim": "bounded navigational identity; membership does not claim that the sixth neighbor is absolutely close", "direct_edges": [ { "id": "adaptive-food-abundance-infrastructure", "similarity": 0.45797800306970304 }, { "id": "fluid-access-habitat-and-logistics-grid", "similarity": 0.40401120004329305 }, { "id": "adaptive-energy-mobility-civic-infrastructure-mesh", "similarity": 0.3988415409660473 }, { "id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "similarity": 0.3880101713983487 }, { "id": "cultivated-bio-circulatory-infrastructure", "similarity": 0.3846976854835957 }, { "id": "real-time-logistics-for-personal-items-tools-and-materials", "similarity": 0.38331641446531906 } ], "graph": "ranked", "id": "ranked-path", "label": "Nearest six · path product", "metrics": { "depth_counts": { "1": 6, "2": 18, "3": 36 }, "direct_degree": 6, "effective_node_count": 55.08784777401171, "field_mass": 11.797948577874022, "field_mass_per_concept": 0.06411928574931534, "reach_count": 61, "visible_count": 57, "weighted_world_radius": 0.28629726896873386 }, "nodes": [ { "branch_id": "centralized-local-food-systems", "depth": 0, "id": "centralized-local-food-systems", "parent_id": "", "path_count": 1, "path_product": 1.0, "strength": 1.0 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 1, "id": "adaptive-energy-mobility-civic-infrastructure-mesh", "parent_id": "centralized-local-food-systems", "path_count": 1, "path_product": 0.3988415409660473, "strength": 0.3988415409660473 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 1, "id": "adaptive-food-abundance-infrastructure", "parent_id": "centralized-local-food-systems", "path_count": 1, "path_product": 0.45797800306970304, "strength": 0.45797800306970304 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 1, "id": "cultivated-bio-circulatory-infrastructure", "parent_id": "centralized-local-food-systems", "path_count": 1, "path_product": 0.3846976854835957, "strength": 0.3846976854835957 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 1, "id": "fluid-access-habitat-and-logistics-grid", "parent_id": "centralized-local-food-systems", "path_count": 1, "path_product": 0.40401120004329305, "strength": 0.40401120004329305 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 1, "id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "parent_id": "centralized-local-food-systems", "path_count": 1, "path_product": 0.3880101713983487, "strength": 0.3880101713983487 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 1, "id": "real-time-logistics-for-personal-items-tools-and-materials", "parent_id": "centralized-local-food-systems", "path_count": 1, "path_product": 0.38331641446531906, "strength": 0.38331641446531906 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 2, "id": "adaptive-perceptual-living-environments", "parent_id": "fluid-access-habitat-and-logistics-grid", "path_count": 1, "path_product": 0.22474043940390967, "strength": 0.22474043940390967 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 2, "id": "adaptive-volumetric-play-mobility-infrastructure", "parent_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "path_count": 1, "path_product": 0.2720354523423793, "strength": 0.2720354523423793 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 2, "id": "ai-mediated-adaptive-creation-workshop-presentation-and-personal-manufacturing-loops", "parent_id": "adaptive-food-abundance-infrastructure", "path_count": 1, "path_product": 0.2627990558368564, "strength": 0.2627990558368564 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 2, "id": "ambient-programmable-body-space-infrastructure", "parent_id": "cultivated-bio-circulatory-infrastructure", "path_count": 1, "path_product": 0.22190812470023988, "strength": 0.22190812470023988 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 2, "id": "autonomous-declarative-work-orchestration-loop", "parent_id": "real-time-logistics-for-personal-items-tools-and-materials", "path_count": 1, "path_product": 0.1789811128725447, "strength": 0.1789811128725447 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 2, "id": "bio-digital-symbiotic-evolutionary-infrastructure", "parent_id": "adaptive-food-abundance-infrastructure", "path_count": 1, "path_product": 0.27607853994986176, "strength": 0.27607853994986176 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 2, "id": "biological-geometry-and-emergent-structures", "parent_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "path_count": 1, "path_product": 0.2314628701763053, "strength": 0.2314628701763053 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 2, "id": "cognitive-responsive-city-infrastructure", "parent_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "path_count": 1, "path_product": 0.22435600930369365, "strength": 0.22435600930369365 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 2, "id": "deviation-native-regenerative-resilience", "parent_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "path_count": 1, "path_product": 0.22792931967621888, "strength": 0.22792931967621888 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 2, "id": "endosymbiotic-ai-human-infrastructure", "parent_id": "adaptive-food-abundance-infrastructure", "path_count": 1, "path_product": 0.28060917485415365, "strength": 0.28060917485415365 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 2, "id": "flow-routed-energy-work-architecture", "parent_id": "real-time-logistics-for-personal-items-tools-and-materials", "path_count": 1, "path_product": 0.18274905396697588, "strength": 0.18274905396697588 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 2, "id": "functionality-first-living-code-ecosystem", "parent_id": "fluid-access-habitat-and-logistics-grid", "path_count": 1, "path_product": 0.21717983936815702, "strength": 0.21717983936815702 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 2, "id": "information-gain-agriculture", "parent_id": "adaptive-food-abundance-infrastructure", "path_count": 1, "path_product": 0.26251700856093735, "strength": 0.26251700856093735 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 2, "id": "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "parent_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "path_count": 1, "path_product": 0.2769972706430902, "strength": 0.2769972706430902 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 2, "id": "pendulum-warehouse-and-vector-latch-logistics", "parent_id": "real-time-logistics-for-personal-items-tools-and-materials", "path_count": 1, "path_product": 0.207022284283854, "strength": 0.207022284283854 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 2, "id": "post-car-choreographed-flow-city", "parent_id": "real-time-logistics-for-personal-items-tools-and-materials", "path_count": 1, "path_product": 0.19006269577744064, "strength": 0.19006269577744064 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 2, "id": "predictive-living-experience-mesh", "parent_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "path_count": 1, "path_product": 0.2611858794636435, "strength": 0.2611858794636435 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 2, "id": "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "parent_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "path_count": 1, "path_product": 0.26668750037164907, "strength": 0.26668750037164907 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "adaptive-ai-mediated-visual-language", "parent_id": "ai-mediated-adaptive-creation-workshop-presentation-and-personal-manufacturing-loops", "path_count": 1, "path_product": 0.1733256692551487, "strength": 0.1733256692551487 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 3, "id": "adaptive-experiential-knowledge-landscapes", "parent_id": "adaptive-perceptual-living-environments", "path_count": 1, "path_product": 0.1455921586087007, "strength": 0.1455921586087007 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "ai-externalized-ideation-loop", "parent_id": "ai-mediated-adaptive-creation-workshop-presentation-and-personal-manufacturing-loops", "path_count": 1, "path_product": 0.17532281554589543, "strength": 0.17532281554589543 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "ai-externalized-thought-flow", "parent_id": "endosymbiotic-ai-human-infrastructure", "path_count": 1, "path_product": 0.1910870542672505, "strength": 0.1910870542672505 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "ai-gardened-pattern-field-agency", "parent_id": "information-gain-agriculture", "path_count": 1, "path_product": 0.1300191323376396, "strength": 0.1300191323376396 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "ai-mediated-cognitive-intimacy-and-collective-co-processing", "parent_id": "endosymbiotic-ai-human-infrastructure", "path_count": 1, "path_product": 0.1776222129198524, "strength": 0.1776222129198524 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "ai-mediated-externalized-cognition-loop", "parent_id": "endosymbiotic-ai-human-infrastructure", "path_count": 1, "path_product": 0.178000447109295, "strength": 0.178000447109295 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "ai-mediated-living-knowledge-fabric", "parent_id": "predictive-living-experience-mesh", "path_count": 1, "path_product": 0.1495666369879172, "strength": 0.1495666369879172 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "ai-mediated-seed-idea-ecology", "parent_id": "ai-mediated-adaptive-creation-workshop-presentation-and-personal-manufacturing-loops", "path_count": 1, "path_product": 0.17403873547153761, "strength": 0.17403873547153761 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 3, "id": "ai-orchestrated-personal-development-operating-system", "parent_id": "autonomous-declarative-work-orchestration-loop", "path_count": 1, "path_product": 0.0965753545476229, "strength": 0.0965753545476229 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "anchor-tension-mobility-networks", "parent_id": "adaptive-volumetric-play-mobility-infrastructure", "path_count": 1, "path_product": 0.18266438079157396, "strength": 0.18266438079157396 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 3, "id": "continuous-externalized-cognitive-flow-loop", "parent_id": "functionality-first-living-code-ecosystem", "path_count": 1, "path_product": 0.11857701688165993, "strength": 0.11857701688165993 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "continuous-generative-production-distribution-stack-with-ai-co-execution-and-latent-creative-navigation", "parent_id": "ai-mediated-adaptive-creation-workshop-presentation-and-personal-manufacturing-loops", "path_count": 1, "path_product": 0.17784188983964005, "strength": 0.17784188983964005 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 3, "id": "conversational-code-fabric", "parent_id": "functionality-first-living-code-ecosystem", "path_count": 1, "path_product": 0.1332199858187195, "strength": 0.1332199858187195 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 3, "id": "conversational-graph-orchestrated-ai-work-layer", "parent_id": "autonomous-declarative-work-orchestration-loop", "path_count": 1, "path_product": 0.09803821965683121, "strength": 0.09803821965683121 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "ecosystem-encoded-innovation-production", "parent_id": "information-gain-agriculture", "path_count": 1, "path_product": 0.12265303869346879, "strength": 0.12265303869346879 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 3, "id": "embodied-generative-spatial-music-systems", "parent_id": "biological-geometry-and-emergent-structures", "path_count": 1, "path_product": 0.14040027051322598, "strength": 0.14040027051322598 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 3, "id": "evolutionary-diagram-to-code-feedback-loop", "parent_id": "functionality-first-living-code-ecosystem", "path_count": 1, "path_product": 0.11614920714546244, "strength": 0.11614920714546244 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 3, "id": "externalized-divergence-convergence-cognitive-routing-ecology", "parent_id": "deviation-native-regenerative-resilience", "path_count": 1, "path_product": 0.12391068065707417, "strength": 0.12391068065707417 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "parent_id": "predictive-living-experience-mesh", "path_count": 1, "path_product": 0.14935104793422074, "strength": 0.14935104793422074 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 3, "id": "externalized-seed-and-scaffold-creativity-infrastructure", "parent_id": "cognitive-responsive-city-infrastructure", "path_count": 1, "path_product": 0.13336802653627325, "strength": 0.13336802653627325 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 3, "id": "functionality-driven-development-runtime-with-ai-managed-implementations", "parent_id": "functionality-first-living-code-ecosystem", "path_count": 1, "path_product": 0.13939640185979435, "strength": 0.13939640185979435 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "hoverboard-zipline-movement-system", "parent_id": "adaptive-volumetric-play-mobility-infrastructure", "path_count": 1, "path_product": 0.17508346901139824, "strength": 0.17508346901139824 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 3, "id": "implementation-friction-collapse-orchestration-loop", "parent_id": "autonomous-declarative-work-orchestration-loop", "path_count": 1, "path_product": 0.10022955607445065, "strength": 0.10022955607445065 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 3, "id": "intent-driven-ai-orchestration-system", "parent_id": "autonomous-declarative-work-orchestration-loop", "path_count": 1, "path_product": 0.10462264036063536, "strength": 0.10462264036063536 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 3, "id": "movement-coupled-cognitive-work-environments", "parent_id": "flow-routed-energy-work-architecture", "path_count": 1, "path_product": 0.09903537274292021, "strength": 0.09903537274292021 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "nature-guided-architecture-and-products", "parent_id": "bio-digital-symbiotic-evolutionary-infrastructure", "path_count": 1, "path_product": 0.15593417814001373, "strength": 0.15593417814001373 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 3, "id": "pareidolic-responsive-environments", "parent_id": "adaptive-perceptual-living-environments", "path_count": 1, "path_product": 0.1472125301310957, "strength": 0.1472125301310957 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 3, "id": "participatory-generative-art-infrastructure", "parent_id": "ambient-programmable-body-space-infrastructure", "path_count": 1, "path_product": 0.12432131416517592, "strength": 0.12432131416517592 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 3, "id": "pendulum-cable-security", "parent_id": "pendulum-warehouse-and-vector-latch-logistics", "path_count": 1, "path_product": 0.12121437255625157, "strength": 0.12121437255625157 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 3, "id": "persistent-ai-mediated-externalized-cognition-loop", "parent_id": "cognitive-responsive-city-infrastructure", "path_count": 1, "path_product": 0.13566458837559306, "strength": 0.13566458837559306 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 3, "id": "persistent-friction-as-system-rewriting", "parent_id": "deviation-native-regenerative-resilience", "path_count": 1, "path_product": 0.1230698030184999, "strength": 0.1230698030184999 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "possibility-space-cognitive-mesh", "parent_id": "predictive-living-experience-mesh", "path_count": 1, "path_product": 0.15971370048763897, "strength": 0.15971370048763897 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "recursive-ai-scaffolded-thought-and-workflow-construction", "parent_id": "ai-mediated-adaptive-creation-workshop-presentation-and-personal-manufacturing-loops", "path_count": 1, "path_product": 0.17517358109686554, "strength": 0.17517358109686554 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 3, "id": "suspended-furniture-movable-structures-and-chaotic-construction", "parent_id": "biological-geometry-and-emergent-structures", "path_count": 1, "path_product": 0.1356388336200572, "strength": 0.1356388336200572 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 3, "id": "voice-first-continuous-cognitive-offloading-layer", "parent_id": "cognitive-responsive-city-infrastructure", "path_count": 1, "path_product": 0.13215760773640367, "strength": 0.13215760773640367 } ], "score": "path-product", "status": "baseline", "visual_interpretation": "A medium-sized, evenly branched footprint whose fading is mostly a record of hop count." }, { "caution": "One cutoff can turn a continuous boundary into a hard cliff.", "claim": "absolute connectivity; concepts with no qualifying edge remain visibly isolated and dense regions may have more than six edges", "direct_edges": [], "graph": "absolute-threshold", "id": "absolute-threshold", "label": "Cosine ≥ 0.60 · path product", "metrics": { "depth_counts": { "1": 0, "2": 0, "3": 0 }, "direct_degree": 0, "effective_node_count": 0.0, "field_mass": 0, "field_mass_per_concept": 0.0, "reach_count": 1, "visible_count": 0, "weighted_world_radius": 0.0 }, "nodes": [ { "branch_id": "centralized-local-food-systems", "depth": 0, "id": "centralized-local-food-systems", "parent_id": "", "path_count": 1, "path_product": 1.0, "strength": 1.0 } ], "score": "path-product", "status": "keep", "threshold": 0.6, "visual_interpretation": "Either a blank field or a saturated component: the visual bifurcation is the evidence this lens contributes." }, { "caution": "Reciprocity can reject a real relation near a dense hub.", "claim": "Keep a ranked edge only when both endpoints choose each other.", "direct_edges": [], "graph": "mutual-ranked", "id": "mutual-ranked-path", "label": "Mutual nearest", "metrics": { "depth_counts": { "1": 0, "2": 0, "3": 0 }, "direct_degree": 0, "effective_node_count": 0.0, "field_mass": 0, "field_mass_per_concept": 0.0, "reach_count": 1, "visible_count": 0, "weighted_world_radius": 0.0 }, "nodes": [ { "branch_id": "centralized-local-food-systems", "depth": 0, "id": "centralized-local-food-systems", "parent_id": "", "path_count": 1, "path_product": 1.0, "strength": 1.0 } ], "score": "path-product", "status": "candidate", "visual_interpretation": "Small reciprocal islands with fewer one-way spokes and visibly harder boundaries." }, { "caution": "Fading says direct root affinity, not path unreliability.", "claim": "bounded reach membership with intensity set by each reached concept's direct cosine similarity to the selected origin", "direct_edges": [ { "id": "adaptive-food-abundance-infrastructure", "similarity": 0.45797800306970304 }, { "id": "fluid-access-habitat-and-logistics-grid", "similarity": 0.40401120004329305 }, { "id": "adaptive-energy-mobility-civic-infrastructure-mesh", "similarity": 0.3988415409660473 }, { "id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "similarity": 0.3880101713983487 }, { "id": "cultivated-bio-circulatory-infrastructure", "similarity": 0.3846976854835957 }, { "id": "real-time-logistics-for-personal-items-tools-and-materials", "similarity": 0.38331641446531906 } ], "graph": "ranked", "id": "origin-affinity", "label": "Nearest-six reach · origin affinity", "metrics": { "depth_counts": { "1": 6, "2": 18, "3": 36 }, "direct_degree": 6, "effective_node_count": 8.5826293733194, "field_mass": 0.7963440000000005, "field_mass_per_concept": 0.004327956521739133, "reach_count": 61, "visible_count": 2, "weighted_world_radius": 0.08059963493110027 }, "nodes": [ { "branch_id": "centralized-local-food-systems", "depth": 0, "id": "centralized-local-food-systems", "parent_id": "", "path_count": 1, "path_product": 1.0, "strength": 1.0 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 1, "id": "adaptive-energy-mobility-civic-infrastructure-mesh", "parent_id": "centralized-local-food-systems", "path_count": 1, "path_product": 0.3988415409660473, "strength": 0.09768399999999999 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 1, "id": "adaptive-food-abundance-infrastructure", "parent_id": "centralized-local-food-systems", "path_count": 1, "path_product": 0.45797800306970304, "strength": 0.21595600000000004 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 1, "id": "cultivated-bio-circulatory-infrastructure", "parent_id": "centralized-local-food-systems", "path_count": 1, "path_product": 0.3846976854835957, "strength": 0.06939600000000001 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 1, "id": "fluid-access-habitat-and-logistics-grid", "parent_id": "centralized-local-food-systems", "path_count": 1, "path_product": 0.40401120004329305, "strength": 0.10802200000000006 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 1, "id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "parent_id": "centralized-local-food-systems", "path_count": 1, "path_product": 0.3880101713983487, "strength": 0.07602000000000009 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 1, "id": "real-time-logistics-for-personal-items-tools-and-materials", "parent_id": "centralized-local-food-systems", "path_count": 1, "path_product": 0.38331641446531906, "strength": 0.06663200000000002 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 2, "id": "adaptive-perceptual-living-environments", "parent_id": "fluid-access-habitat-and-logistics-grid", "path_count": 1, "path_product": 0.22474043940390967, "strength": 0.0 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 2, "id": "adaptive-volumetric-play-mobility-infrastructure", "parent_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "path_count": 1, "path_product": 0.2720354523423793, "strength": 0.0 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 2, "id": "ai-mediated-adaptive-creation-workshop-presentation-and-personal-manufacturing-loops", "parent_id": "adaptive-food-abundance-infrastructure", "path_count": 1, "path_product": 0.2627990558368564, "strength": 0.0 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 2, "id": "ambient-programmable-body-space-infrastructure", "parent_id": "cultivated-bio-circulatory-infrastructure", "path_count": 1, "path_product": 0.22190812470023988, "strength": 0.0 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 2, "id": "autonomous-declarative-work-orchestration-loop", "parent_id": "real-time-logistics-for-personal-items-tools-and-materials", "path_count": 1, "path_product": 0.1789811128725447, "strength": 0.0 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 2, "id": "bio-digital-symbiotic-evolutionary-infrastructure", "parent_id": "adaptive-food-abundance-infrastructure", "path_count": 1, "path_product": 0.27607853994986176, "strength": 0.0 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 2, "id": "biological-geometry-and-emergent-structures", "parent_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "path_count": 1, "path_product": 0.2314628701763053, "strength": 0.0 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 2, "id": "cognitive-responsive-city-infrastructure", "parent_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "path_count": 1, "path_product": 0.22435600930369365, "strength": 0.012202000000000046 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 2, "id": "deviation-native-regenerative-resilience", "parent_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "path_count": 1, "path_product": 0.22792931967621888, "strength": 0.0 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 2, "id": "endosymbiotic-ai-human-infrastructure", "parent_id": "adaptive-food-abundance-infrastructure", "path_count": 1, "path_product": 0.28060917485415365, "strength": 0.0 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 2, "id": "flow-routed-energy-work-architecture", "parent_id": "real-time-logistics-for-personal-items-tools-and-materials", "path_count": 1, "path_product": 0.18274905396697588, "strength": 0.0 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 2, "id": "functionality-first-living-code-ecosystem", "parent_id": "fluid-access-habitat-and-logistics-grid", "path_count": 1, "path_product": 0.21717983936815702, "strength": 0.007543999999999995 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 2, "id": "information-gain-agriculture", "parent_id": "adaptive-food-abundance-infrastructure", "path_count": 1, "path_product": 0.26251700856093735, "strength": 0.0122000000000001 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 2, "id": "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "parent_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "path_count": 1, "path_product": 0.2769972706430902, "strength": 0.0 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 2, "id": "pendulum-warehouse-and-vector-latch-logistics", "parent_id": "real-time-logistics-for-personal-items-tools-and-materials", "path_count": 1, "path_product": 0.207022284283854, "strength": 0.052464000000000066 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 2, "id": "post-car-choreographed-flow-city", "parent_id": "real-time-logistics-for-personal-items-tools-and-materials", "path_count": 1, "path_product": 0.19006269577744064, "strength": 0.06545400000000001 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 2, "id": "predictive-living-experience-mesh", "parent_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "path_count": 1, "path_product": 0.2611858794636435, "strength": 0.0 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 2, "id": "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "parent_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "path_count": 1, "path_product": 0.26668750037164907, "strength": 0.0 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "adaptive-ai-mediated-visual-language", "parent_id": "ai-mediated-adaptive-creation-workshop-presentation-and-personal-manufacturing-loops", "path_count": 1, "path_product": 0.1733256692551487, "strength": 0.0 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 3, "id": "adaptive-experiential-knowledge-landscapes", "parent_id": "adaptive-perceptual-living-environments", "path_count": 1, "path_product": 0.1455921586087007, "strength": 0.0 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "ai-externalized-ideation-loop", "parent_id": "ai-mediated-adaptive-creation-workshop-presentation-and-personal-manufacturing-loops", "path_count": 1, "path_product": 0.17532281554589543, "strength": 0.0 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "ai-externalized-thought-flow", "parent_id": "endosymbiotic-ai-human-infrastructure", "path_count": 1, "path_product": 0.1910870542672505, "strength": 0.0 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "ai-gardened-pattern-field-agency", "parent_id": "information-gain-agriculture", "path_count": 1, "path_product": 0.1300191323376396, "strength": 0.0 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "ai-mediated-cognitive-intimacy-and-collective-co-processing", "parent_id": "endosymbiotic-ai-human-infrastructure", "path_count": 1, "path_product": 0.1776222129198524, "strength": 0.0 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "ai-mediated-externalized-cognition-loop", "parent_id": "endosymbiotic-ai-human-infrastructure", "path_count": 1, "path_product": 0.178000447109295, "strength": 0.0 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "ai-mediated-living-knowledge-fabric", "parent_id": "predictive-living-experience-mesh", "path_count": 1, "path_product": 0.1495666369879172, "strength": 0.0 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "ai-mediated-seed-idea-ecology", "parent_id": "ai-mediated-adaptive-creation-workshop-presentation-and-personal-manufacturing-loops", "path_count": 1, "path_product": 0.17403873547153761, "strength": 0.0 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 3, "id": "ai-orchestrated-personal-development-operating-system", "parent_id": "autonomous-declarative-work-orchestration-loop", "path_count": 1, "path_product": 0.0965753545476229, "strength": 0.0 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "anchor-tension-mobility-networks", "parent_id": "adaptive-volumetric-play-mobility-infrastructure", "path_count": 1, "path_product": 0.18266438079157396, "strength": 0.0 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 3, "id": "continuous-externalized-cognitive-flow-loop", "parent_id": "functionality-first-living-code-ecosystem", "path_count": 1, "path_product": 0.11857701688165993, "strength": 0.012770000000000059 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "continuous-generative-production-distribution-stack-with-ai-co-execution-and-latent-creative-navigation", "parent_id": "ai-mediated-adaptive-creation-workshop-presentation-and-personal-manufacturing-loops", "path_count": 1, "path_product": 0.17784188983964005, "strength": 0.0 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 3, "id": "conversational-code-fabric", "parent_id": "functionality-first-living-code-ecosystem", "path_count": 1, "path_product": 0.1332199858187195, "strength": 0.0 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 3, "id": "conversational-graph-orchestrated-ai-work-layer", "parent_id": "autonomous-declarative-work-orchestration-loop", "path_count": 1, "path_product": 0.09803821965683121, "strength": 0.0 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "ecosystem-encoded-innovation-production", "parent_id": "information-gain-agriculture", "path_count": 1, "path_product": 0.12265303869346879, "strength": 0.0 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 3, "id": "embodied-generative-spatial-music-systems", "parent_id": "biological-geometry-and-emergent-structures", "path_count": 1, "path_product": 0.14040027051322598, "strength": 0.0 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 3, "id": "evolutionary-diagram-to-code-feedback-loop", "parent_id": "functionality-first-living-code-ecosystem", "path_count": 1, "path_product": 0.11614920714546244, "strength": 0.0 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 3, "id": "externalized-divergence-convergence-cognitive-routing-ecology", "parent_id": "deviation-native-regenerative-resilience", "path_count": 1, "path_product": 0.12391068065707417, "strength": 0.0 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "parent_id": "predictive-living-experience-mesh", "path_count": 1, "path_product": 0.14935104793422074, "strength": 0.0 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 3, "id": "externalized-seed-and-scaffold-creativity-infrastructure", "parent_id": "cognitive-responsive-city-infrastructure", "path_count": 1, "path_product": 0.13336802653627325, "strength": 0.0 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 3, "id": "functionality-driven-development-runtime-with-ai-managed-implementations", "parent_id": "functionality-first-living-code-ecosystem", "path_count": 1, "path_product": 0.13939640185979435, "strength": 0.0 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "hoverboard-zipline-movement-system", "parent_id": "adaptive-volumetric-play-mobility-infrastructure", "path_count": 1, "path_product": 0.17508346901139824, "strength": 0.0 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 3, "id": "implementation-friction-collapse-orchestration-loop", "parent_id": "autonomous-declarative-work-orchestration-loop", "path_count": 1, "path_product": 0.10022955607445065, "strength": 0.0 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 3, "id": "intent-driven-ai-orchestration-system", "parent_id": "autonomous-declarative-work-orchestration-loop", "path_count": 1, "path_product": 0.10462264036063536, "strength": 0.0 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 3, "id": "movement-coupled-cognitive-work-environments", "parent_id": "flow-routed-energy-work-architecture", "path_count": 1, "path_product": 0.09903537274292021, "strength": 0.0 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "nature-guided-architecture-and-products", "parent_id": "bio-digital-symbiotic-evolutionary-infrastructure", "path_count": 1, "path_product": 0.15593417814001373, "strength": 0.0 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 3, "id": "pareidolic-responsive-environments", "parent_id": "adaptive-perceptual-living-environments", "path_count": 1, "path_product": 0.1472125301310957, "strength": 0.0 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 3, "id": "participatory-generative-art-infrastructure", "parent_id": "ambient-programmable-body-space-infrastructure", "path_count": 1, "path_product": 0.12432131416517592, "strength": 0.0 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 3, "id": "pendulum-cable-security", "parent_id": "pendulum-warehouse-and-vector-latch-logistics", "path_count": 1, "path_product": 0.12121437255625157, "strength": 0.0 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 3, "id": "persistent-ai-mediated-externalized-cognition-loop", "parent_id": "cognitive-responsive-city-infrastructure", "path_count": 1, "path_product": 0.13566458837559306, "strength": 0.0 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 3, "id": "persistent-friction-as-system-rewriting", "parent_id": "deviation-native-regenerative-resilience", "path_count": 1, "path_product": 0.1230698030184999, "strength": 0.0 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "possibility-space-cognitive-mesh", "parent_id": "predictive-living-experience-mesh", "path_count": 1, "path_product": 0.15971370048763897, "strength": 0.0 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "recursive-ai-scaffolded-thought-and-workflow-construction", "parent_id": "ai-mediated-adaptive-creation-workshop-presentation-and-personal-manufacturing-loops", "path_count": 1, "path_product": 0.17517358109686554, "strength": 0.0 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 3, "id": "suspended-furniture-movable-structures-and-chaotic-construction", "parent_id": "biological-geometry-and-emergent-structures", "path_count": 1, "path_product": 0.1356388336200572, "strength": 0.0 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 3, "id": "voice-first-continuous-cognitive-offloading-layer", "parent_id": "cognitive-responsive-city-infrastructure", "path_count": 1, "path_product": 0.13215760773640367, "strength": 0.0 } ], "score": "origin-affinity", "status": "keep", "visual_interpretation": "A bounded footprint with distant-in-meaning members fading out even when the traversal can still reach them." }, { "caution": "A mean can conceal a single weak bridge.", "claim": "bounded reach membership with intensity set by the candidate's mean cosine similarity to every earlier concept on its chosen path", "direct_edges": [ { "id": "adaptive-food-abundance-infrastructure", "similarity": 0.45797800306970304 }, { "id": "fluid-access-habitat-and-logistics-grid", "similarity": 0.40401120004329305 }, { "id": "adaptive-energy-mobility-civic-infrastructure-mesh", "similarity": 0.3988415409660473 }, { "id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "similarity": 0.3880101713983487 }, { "id": "cultivated-bio-circulatory-infrastructure", "similarity": 0.3846976854835957 }, { "id": "real-time-logistics-for-personal-items-tools-and-materials", "similarity": 0.38331641446531906 } ], "graph": "ranked", "id": "path-cohesion", "label": "Nearest-six reach · path cohesion", "metrics": { "depth_counts": { "1": 6, "2": 18, "3": 36 }, "direct_degree": 6, "effective_node_count": 54.63399002825373, "field_mass": 11.569830000000003, "field_mass_per_concept": 0.06287951086956524, "reach_count": 61, "visible_count": 49, "weighted_world_radius": 0.3514716641263809 }, "nodes": [ { "branch_id": "centralized-local-food-systems", "depth": 0, "id": "centralized-local-food-systems", "parent_id": "", "path_count": 1, "path_product": 1.0, "strength": 1.0 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 1, "id": "adaptive-energy-mobility-civic-infrastructure-mesh", "parent_id": "centralized-local-food-systems", "path_count": 1, "path_product": 0.3988415409660473, "strength": 0.09768399999999999 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 1, "id": "adaptive-food-abundance-infrastructure", "parent_id": "centralized-local-food-systems", "path_count": 1, "path_product": 0.45797800306970304, "strength": 0.21595600000000004 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 1, "id": "cultivated-bio-circulatory-infrastructure", "parent_id": "centralized-local-food-systems", "path_count": 1, "path_product": 0.3846976854835957, "strength": 0.06939600000000001 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 1, "id": "fluid-access-habitat-and-logistics-grid", "parent_id": "centralized-local-food-systems", "path_count": 1, "path_product": 0.40401120004329305, "strength": 0.10802200000000006 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 1, "id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "parent_id": "centralized-local-food-systems", "path_count": 1, "path_product": 0.3880101713983487, "strength": 0.07602000000000009 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 1, "id": "real-time-logistics-for-personal-items-tools-and-materials", "parent_id": "centralized-local-food-systems", "path_count": 1, "path_product": 0.38331641446531906, "strength": 0.06663200000000002 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 2, "id": "adaptive-perceptual-living-environments", "parent_id": "fluid-access-habitat-and-logistics-grid", "path_count": 1, "path_product": 0.22474043940390967, "strength": 0.17008100000000004 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 2, "id": "adaptive-volumetric-play-mobility-infrastructure", "parent_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "path_count": 1, "path_product": 0.2720354523423793, "strength": 0.23627300000000007 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 2, "id": "ai-mediated-adaptive-creation-workshop-presentation-and-personal-manufacturing-loops", "parent_id": "adaptive-food-abundance-infrastructure", "path_count": 1, "path_product": 0.2627990558368564, "strength": 0.21931800000000012 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 2, "id": "ambient-programmable-body-space-infrastructure", "parent_id": "cultivated-bio-circulatory-infrastructure", "path_count": 1, "path_product": 0.22190812470023988, "strength": 0.17242200000000008 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 2, "id": "autonomous-declarative-work-orchestration-loop", "parent_id": "real-time-logistics-for-personal-items-tools-and-materials", "path_count": 1, "path_product": 0.1789811128725447, "strength": 0.03467100000000012 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 2, "id": "bio-digital-symbiotic-evolutionary-infrastructure", "parent_id": "adaptive-food-abundance-infrastructure", "path_count": 1, "path_product": 0.27607853994986176, "strength": 0.21717000000000009 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 2, "id": "biological-geometry-and-emergent-structures", "parent_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "path_count": 1, "path_product": 0.2314628701763053, "strength": 0.21792800000000012 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 2, "id": "cognitive-responsive-city-infrastructure", "parent_id": "cultivated-bio-circulatory-infrastructure", "path_count": 1, "path_product": 0.22333906975458784, "strength": 0.23665800000000004 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 2, "id": "deviation-native-regenerative-resilience", "parent_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "path_count": 1, "path_product": 0.22792931967621888, "strength": 0.19795700000000016 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 2, "id": "endosymbiotic-ai-human-infrastructure", "parent_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "path_count": 1, "path_product": 0.24500969960466923, "strength": 0.27792700000000004 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 2, "id": "flow-routed-energy-work-architecture", "parent_id": "real-time-logistics-for-personal-items-tools-and-materials", "path_count": 1, "path_product": 0.18274905396697588, "strength": 0.05656900000000009 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 2, "id": "functionality-first-living-code-ecosystem", "parent_id": "fluid-access-habitat-and-logistics-grid", "path_count": 1, "path_product": 0.21717983936815702, "strength": 0.19133100000000003 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 2, "id": "information-gain-agriculture", "parent_id": "adaptive-food-abundance-infrastructure", "path_count": 1, "path_product": 0.26251700856093735, "strength": 0.22930899999999999 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 2, "id": "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "parent_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "path_count": 1, "path_product": 0.2769972706430902, "strength": 0.3309390000000001 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 2, "id": "pendulum-warehouse-and-vector-latch-logistics", "parent_id": "real-time-logistics-for-personal-items-tools-and-materials", "path_count": 1, "path_product": 0.207022284283854, "strength": 0.216314 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 2, "id": "post-car-choreographed-flow-city", "parent_id": "real-time-logistics-for-personal-items-tools-and-materials", "path_count": 1, "path_product": 0.19006269577744064, "strength": 0.17856500000000008 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 2, "id": "predictive-living-experience-mesh", "parent_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "path_count": 1, "path_product": 0.2611858794636435, "strength": 0.2702230000000001 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 2, "id": "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "parent_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "path_count": 1, "path_product": 0.26668750037164907, "strength": 0.31387300000000007 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "adaptive-ai-mediated-visual-language", "parent_id": "ai-mediated-adaptive-creation-workshop-presentation-and-personal-manufacturing-loops", "path_count": 1, "path_product": 0.1733256692551487, "strength": 0.26529400000000003 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 3, "id": "adaptive-experiential-knowledge-landscapes", "parent_id": "adaptive-perceptual-living-environments", "path_count": 1, "path_product": 0.1455921586087007, "strength": 0.19290666666666667 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "ai-externalized-ideation-loop", "parent_id": "ai-mediated-adaptive-creation-workshop-presentation-and-personal-manufacturing-loops", "path_count": 1, "path_product": 0.17532281554589543, "strength": 0.27821600000000013 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 3, "id": "ai-externalized-thought-flow", "parent_id": "endosymbiotic-ai-human-infrastructure", "path_count": 1, "path_product": 0.1668448003836435, "strength": 0.3173440000000003 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "ai-gardened-pattern-field-agency", "parent_id": "information-gain-agriculture", "path_count": 1, "path_product": 0.1300191323376396, "strength": 0.1714053333333333 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 3, "id": "ai-mediated-cognitive-intimacy-and-collective-co-processing", "parent_id": "endosymbiotic-ai-human-infrastructure", "path_count": 1, "path_product": 0.1550881757634214, "strength": 0.2423873333333335 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "ai-mediated-externalized-cognition-loop", "parent_id": "ai-mediated-adaptive-creation-workshop-presentation-and-personal-manufacturing-loops", "path_count": 1, "path_product": 0.1768620287777205, "strength": 0.2751766666666666 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "ai-mediated-living-knowledge-fabric", "parent_id": "predictive-living-experience-mesh", "path_count": 1, "path_product": 0.1495666369879172, "strength": 0.21261266666666667 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "ai-mediated-seed-idea-ecology", "parent_id": "ai-mediated-adaptive-creation-workshop-presentation-and-personal-manufacturing-loops", "path_count": 1, "path_product": 0.17403873547153761, "strength": 0.29282066666666673 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 3, "id": "ai-orchestrated-personal-development-operating-system", "parent_id": "autonomous-declarative-work-orchestration-loop", "path_count": 1, "path_product": 0.0965753545476229, "strength": 0.07910799999999996 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "anchor-tension-mobility-networks", "parent_id": "adaptive-volumetric-play-mobility-infrastructure", "path_count": 1, "path_product": 0.18266438079157396, "strength": 0.2794833333333334 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 3, "id": "continuous-externalized-cognitive-flow-loop", "parent_id": "functionality-first-living-code-ecosystem", "path_count": 1, "path_product": 0.11857701688165993, "strength": 0.2054206666666668 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "continuous-generative-production-distribution-stack-with-ai-co-execution-and-latent-creative-navigation", "parent_id": "ai-mediated-adaptive-creation-workshop-presentation-and-personal-manufacturing-loops", "path_count": 1, "path_product": 0.17784188983964005, "strength": 0.30693800000000016 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 3, "id": "conversational-code-fabric", "parent_id": "functionality-first-living-code-ecosystem", "path_count": 1, "path_product": 0.1332199858187195, "strength": 0.15670000000000006 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 3, "id": "conversational-graph-orchestrated-ai-work-layer", "parent_id": "autonomous-declarative-work-orchestration-loop", "path_count": 1, "path_product": 0.09803821965683121, "strength": 0.0705973333333334 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "ecosystem-encoded-innovation-production", "parent_id": "information-gain-agriculture", "path_count": 1, "path_product": 0.12265303869346879, "strength": 0.17518066666666676 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 3, "id": "embodied-generative-spatial-music-systems", "parent_id": "biological-geometry-and-emergent-structures", "path_count": 1, "path_product": 0.14040027051322598, "strength": 0.23263999999999985 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 3, "id": "evolutionary-diagram-to-code-feedback-loop", "parent_id": "functionality-first-living-code-ecosystem", "path_count": 1, "path_product": 0.11614920714546244, "strength": 0.018246000000000095 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 3, "id": "externalized-divergence-convergence-cognitive-routing-ecology", "parent_id": "deviation-native-regenerative-resilience", "path_count": 1, "path_product": 0.12391068065707417, "strength": 0.24406800000000006 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "parent_id": "predictive-living-experience-mesh", "path_count": 1, "path_product": 0.14935104793422074, "strength": 0.22438399999999992 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 3, "id": "externalized-seed-and-scaffold-creativity-infrastructure", "parent_id": "cognitive-responsive-city-infrastructure", "path_count": 1, "path_product": 0.13276350864886807, "strength": 0.24196799999999985 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 3, "id": "functionality-driven-development-runtime-with-ai-managed-implementations", "parent_id": "functionality-first-living-code-ecosystem", "path_count": 1, "path_product": 0.13939640185979435, "strength": 0.2135786666666667 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "hoverboard-zipline-movement-system", "parent_id": "adaptive-volumetric-play-mobility-infrastructure", "path_count": 1, "path_product": 0.17508346901139824, "strength": 0.281794 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 3, "id": "implementation-friction-collapse-orchestration-loop", "parent_id": "autonomous-declarative-work-orchestration-loop", "path_count": 1, "path_product": 0.10022955607445065, "strength": 0.15515200000000007 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 3, "id": "intent-driven-ai-orchestration-system", "parent_id": "autonomous-declarative-work-orchestration-loop", "path_count": 1, "path_product": 0.10462264036063536, "strength": 0.127378 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 3, "id": "movement-coupled-cognitive-work-environments", "parent_id": "flow-routed-energy-work-architecture", "path_count": 1, "path_product": 0.09903537274292021, "strength": 0.07422133333333325 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "nature-guided-architecture-and-products", "parent_id": "bio-digital-symbiotic-evolutionary-infrastructure", "path_count": 1, "path_product": 0.15593417814001373, "strength": 0.2367100000000001 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 3, "id": "pareidolic-responsive-environments", "parent_id": "adaptive-perceptual-living-environments", "path_count": 1, "path_product": 0.1472125301310957, "strength": 0.15604200000000001 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 3, "id": "participatory-generative-art-infrastructure", "parent_id": "ambient-programmable-body-space-infrastructure", "path_count": 1, "path_product": 0.12432131416517592, "strength": 0.19960600000000006 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 3, "id": "pendulum-cable-security", "parent_id": "pendulum-warehouse-and-vector-latch-logistics", "path_count": 1, "path_product": 0.12121437255625157, "strength": 0.05385933333333337 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 3, "id": "persistent-ai-mediated-externalized-cognition-loop", "parent_id": "cognitive-responsive-city-infrastructure", "path_count": 1, "path_product": 0.13504966085142966, "strength": 0.17256400000000005 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 3, "id": "persistent-friction-as-system-rewriting", "parent_id": "deviation-native-regenerative-resilience", "path_count": 1, "path_product": 0.1230698030184999, "strength": 0.1811193333333334 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "possibility-space-cognitive-mesh", "parent_id": "predictive-living-experience-mesh", "path_count": 1, "path_product": 0.15971370048763897, "strength": 0.2337326666666667 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "recursive-ai-scaffolded-thought-and-workflow-construction", "parent_id": "ai-mediated-adaptive-creation-workshop-presentation-and-personal-manufacturing-loops", "path_count": 1, "path_product": 0.17517358109686554, "strength": 0.21396333333333328 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 3, "id": "suspended-furniture-movable-structures-and-chaotic-construction", "parent_id": "biological-geometry-and-emergent-structures", "path_count": 1, "path_product": 0.1356388336200572, "strength": 0.24746800000000013 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 3, "id": "voice-first-continuous-cognitive-offloading-layer", "parent_id": "cognitive-responsive-city-infrastructure", "path_count": 1, "path_product": 0.13155857632004236, "strength": 0.13850600000000013 } ], "score": "path-cohesion", "status": "experimental", "visual_interpretation": "Broad, comparatively even halos because a candidate can agree with the route context despite weak direct origin affinity." }, { "caution": "One noisy edge can suppress an otherwise coherent route.", "claim": "Let the weakest edge cap every selected route.", "direct_edges": [ { "id": "adaptive-food-abundance-infrastructure", "similarity": 0.45797800306970304 }, { "id": "fluid-access-habitat-and-logistics-grid", "similarity": 0.40401120004329305 }, { "id": "adaptive-energy-mobility-civic-infrastructure-mesh", "similarity": 0.3988415409660473 }, { "id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "similarity": 0.3880101713983487 }, { "id": "cultivated-bio-circulatory-infrastructure", "similarity": 0.3846976854835957 }, { "id": "real-time-logistics-for-personal-items-tools-and-materials", "similarity": 0.38331641446531906 } ], "graph": "ranked", "id": "ranked-bottleneck", "label": "Weakest-link path", "metrics": { "depth_counts": { "1": 6, "2": 18, "3": 36 }, "direct_degree": 6, "effective_node_count": 53.641217611636556, "field_mass": 7.233396111005443, "field_mass_per_concept": 0.039311935385899145, "reach_count": 61, "visible_count": 30, "weighted_world_radius": 0.35932581136339026 }, "nodes": [ { "branch_id": "centralized-local-food-systems", "depth": 0, "id": "centralized-local-food-systems", "parent_id": "", "path_count": 1, "path_product": 1.0, "strength": 1.0 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 1, "id": "adaptive-energy-mobility-civic-infrastructure-mesh", "parent_id": "centralized-local-food-systems", "path_count": 1, "path_product": 0.3988415409660473, "strength": 0.09768308193209463 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 1, "id": "adaptive-food-abundance-infrastructure", "parent_id": "centralized-local-food-systems", "path_count": 1, "path_product": 0.45797800306970304, "strength": 0.21595600613940613 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 1, "id": "cultivated-bio-circulatory-infrastructure", "parent_id": "centralized-local-food-systems", "path_count": 1, "path_product": 0.3846976854835957, "strength": 0.0693953709671914 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 1, "id": "fluid-access-habitat-and-logistics-grid", "parent_id": "centralized-local-food-systems", "path_count": 1, "path_product": 0.40401120004329305, "strength": 0.10802240008658615 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 1, "id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "parent_id": "centralized-local-food-systems", "path_count": 1, "path_product": 0.3880101713983487, "strength": 0.07602034279669745 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 1, "id": "real-time-logistics-for-personal-items-tools-and-materials", "parent_id": "centralized-local-food-systems", "path_count": 1, "path_product": 0.38331641446531906, "strength": 0.06663282893063815 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 2, "id": "adaptive-perceptual-living-environments", "parent_id": "fluid-access-habitat-and-logistics-grid", "path_count": 1, "path_product": 0.22474043940390967, "strength": 0.10802240008658615 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 2, "id": "adaptive-volumetric-play-mobility-infrastructure", "parent_id": "fluid-access-habitat-and-logistics-grid", "path_count": 1, "path_product": 0.2185837352078697, "strength": 0.10802240008658615 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 2, "id": "ai-mediated-adaptive-creation-workshop-presentation-and-personal-manufacturing-loops", "parent_id": "adaptive-food-abundance-infrastructure", "path_count": 1, "path_product": 0.2627990558368564, "strength": 0.21595600613940613 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 2, "id": "ambient-programmable-body-space-infrastructure", "parent_id": "cultivated-bio-circulatory-infrastructure", "path_count": 1, "path_product": 0.22190812470023988, "strength": 0.0693953709671914 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 2, "id": "autonomous-declarative-work-orchestration-loop", "parent_id": "real-time-logistics-for-personal-items-tools-and-materials", "path_count": 1, "path_product": 0.1789811128725447, "strength": 0.06663282893063815 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 2, "id": "bio-digital-symbiotic-evolutionary-infrastructure", "parent_id": "adaptive-food-abundance-infrastructure", "path_count": 1, "path_product": 0.27607853994986176, "strength": 0.21595600613940613 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 2, "id": "biological-geometry-and-emergent-structures", "parent_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "path_count": 1, "path_product": 0.2314628701763053, "strength": 0.07602034279669745 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 2, "id": "cognitive-responsive-city-infrastructure", "parent_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "path_count": 1, "path_product": 0.22435600930369365, "strength": 0.07602034279669745 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 2, "id": "deviation-native-regenerative-resilience", "parent_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "path_count": 1, "path_product": 0.22792931967621888, "strength": 0.07602034279669745 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 2, "id": "endosymbiotic-ai-human-infrastructure", "parent_id": "adaptive-food-abundance-infrastructure", "path_count": 1, "path_product": 0.28060917485415365, "strength": 0.21595600613940613 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 2, "id": "flow-routed-energy-work-architecture", "parent_id": "real-time-logistics-for-personal-items-tools-and-materials", "path_count": 1, "path_product": 0.18274905396697588, "strength": 0.06663282893063815 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 2, "id": "functionality-first-living-code-ecosystem", "parent_id": "fluid-access-habitat-and-logistics-grid", "path_count": 1, "path_product": 0.21717983936815702, "strength": 0.10802240008658615 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 2, "id": "information-gain-agriculture", "parent_id": "adaptive-food-abundance-infrastructure", "path_count": 1, "path_product": 0.26251700856093735, "strength": 0.21595600613940613 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 2, "id": "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "parent_id": "fluid-access-habitat-and-logistics-grid", "path_count": 1, "path_product": 0.2356426648797047, "strength": 0.10802240008658615 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 2, "id": "pendulum-warehouse-and-vector-latch-logistics", "parent_id": "real-time-logistics-for-personal-items-tools-and-materials", "path_count": 1, "path_product": 0.207022284283854, "strength": 0.06663282893063815 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 2, "id": "post-car-choreographed-flow-city", "parent_id": "real-time-logistics-for-personal-items-tools-and-materials", "path_count": 1, "path_product": 0.19006269577744064, "strength": 0.06663282893063815 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 2, "id": "predictive-living-experience-mesh", "parent_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "path_count": 1, "path_product": 0.2611858794636435, "strength": 0.09768308193209463 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 2, "id": "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "parent_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "path_count": 1, "path_product": 0.26668750037164907, "strength": 0.09768308193209463 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "adaptive-ai-mediated-visual-language", "parent_id": "ai-mediated-adaptive-creation-workshop-presentation-and-personal-manufacturing-loops", "path_count": 1, "path_product": 0.1733256692551487, "strength": 0.21595600613940613 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 3, "id": "adaptive-experiential-knowledge-landscapes", "parent_id": "adaptive-perceptual-living-environments", "path_count": 1, "path_product": 0.1455921586087007, "strength": 0.10802240008658615 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "ai-externalized-ideation-loop", "parent_id": "ai-mediated-adaptive-creation-workshop-presentation-and-personal-manufacturing-loops", "path_count": 1, "path_product": 0.17532281554589543, "strength": 0.21595600613940613 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "ai-externalized-thought-flow", "parent_id": "endosymbiotic-ai-human-infrastructure", "path_count": 1, "path_product": 0.1910870542672505, "strength": 0.21595600613940613 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "ai-gardened-pattern-field-agency", "parent_id": "information-gain-agriculture", "path_count": 1, "path_product": 0.1300191323376396, "strength": 0.21595600613940613 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "ai-mediated-cognitive-intimacy-and-collective-co-processing", "parent_id": "endosymbiotic-ai-human-infrastructure", "path_count": 1, "path_product": 0.1776222129198524, "strength": 0.21595600613940613 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "ai-mediated-externalized-cognition-loop", "parent_id": "endosymbiotic-ai-human-infrastructure", "path_count": 1, "path_product": 0.178000447109295, "strength": 0.21595600613940613 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 3, "id": "ai-mediated-living-knowledge-fabric", "parent_id": "functionality-first-living-code-ecosystem", "path_count": 1, "path_product": 0.12002924151835398, "strength": 0.10802240008658615 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "ai-mediated-seed-idea-ecology", "parent_id": "ai-mediated-adaptive-creation-workshop-presentation-and-personal-manufacturing-loops", "path_count": 1, "path_product": 0.17403873547153761, "strength": 0.21595600613940613 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 3, "id": "ai-orchestrated-personal-development-operating-system", "parent_id": "autonomous-declarative-work-orchestration-loop", "path_count": 1, "path_product": 0.0965753545476229, "strength": 0.06663282893063815 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 3, "id": "anchor-tension-mobility-networks", "parent_id": "adaptive-volumetric-play-mobility-infrastructure", "path_count": 1, "path_product": 0.14677301174922908, "strength": 0.10802240008658615 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 3, "id": "continuous-externalized-cognitive-flow-loop", "parent_id": "functionality-first-living-code-ecosystem", "path_count": 1, "path_product": 0.11857701688165993, "strength": 0.10802240008658615 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "continuous-generative-production-distribution-stack-with-ai-co-execution-and-latent-creative-navigation", "parent_id": "ai-mediated-adaptive-creation-workshop-presentation-and-personal-manufacturing-loops", "path_count": 1, "path_product": 0.17784188983964005, "strength": 0.21595600613940613 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 3, "id": "conversational-code-fabric", "parent_id": "functionality-first-living-code-ecosystem", "path_count": 1, "path_product": 0.1332199858187195, "strength": 0.10802240008658615 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 3, "id": "conversational-graph-orchestrated-ai-work-layer", "parent_id": "autonomous-declarative-work-orchestration-loop", "path_count": 1, "path_product": 0.09803821965683121, "strength": 0.06663282893063815 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "ecosystem-encoded-innovation-production", "parent_id": "information-gain-agriculture", "path_count": 1, "path_product": 0.12265303869346879, "strength": 0.21595600613940613 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 3, "id": "embodied-generative-spatial-music-systems", "parent_id": "biological-geometry-and-emergent-structures", "path_count": 1, "path_product": 0.14040027051322598, "strength": 0.07602034279669745 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 3, "id": "evolutionary-diagram-to-code-feedback-loop", "parent_id": "functionality-first-living-code-ecosystem", "path_count": 1, "path_product": 0.11614920714546244, "strength": 0.10802240008658615 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 3, "id": "externalized-divergence-convergence-cognitive-routing-ecology", "parent_id": "deviation-native-regenerative-resilience", "path_count": 1, "path_product": 0.12391068065707417, "strength": 0.07602034279669745 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "parent_id": "predictive-living-experience-mesh", "path_count": 1, "path_product": 0.14935104793422074, "strength": 0.09768308193209463 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 3, "id": "externalized-seed-and-scaffold-creativity-infrastructure", "parent_id": "cognitive-responsive-city-infrastructure", "path_count": 1, "path_product": 0.13336802653627325, "strength": 0.07602034279669745 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 3, "id": "functionality-driven-development-runtime-with-ai-managed-implementations", "parent_id": "functionality-first-living-code-ecosystem", "path_count": 1, "path_product": 0.13939640185979435, "strength": 0.10802240008658615 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 3, "id": "hoverboard-zipline-movement-system", "parent_id": "adaptive-volumetric-play-mobility-infrastructure", "path_count": 1, "path_product": 0.14068165858579434, "strength": 0.10802240008658615 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 3, "id": "implementation-friction-collapse-orchestration-loop", "parent_id": "autonomous-declarative-work-orchestration-loop", "path_count": 1, "path_product": 0.10022955607445065, "strength": 0.06663282893063815 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 3, "id": "intent-driven-ai-orchestration-system", "parent_id": "autonomous-declarative-work-orchestration-loop", "path_count": 1, "path_product": 0.10462264036063536, "strength": 0.06663282893063815 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 3, "id": "movement-coupled-cognitive-work-environments", "parent_id": "flow-routed-energy-work-architecture", "path_count": 1, "path_product": 0.09903537274292021, "strength": 0.06663282893063815 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "nature-guided-architecture-and-products", "parent_id": "bio-digital-symbiotic-evolutionary-infrastructure", "path_count": 1, "path_product": 0.15593417814001373, "strength": 0.21595600613940613 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 3, "id": "pareidolic-responsive-environments", "parent_id": "adaptive-perceptual-living-environments", "path_count": 1, "path_product": 0.1472125301310957, "strength": 0.10802240008658615 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 3, "id": "participatory-generative-art-infrastructure", "parent_id": "ambient-programmable-body-space-infrastructure", "path_count": 1, "path_product": 0.12432131416517592, "strength": 0.0693953709671914 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 3, "id": "pendulum-cable-security", "parent_id": "pendulum-warehouse-and-vector-latch-logistics", "path_count": 1, "path_product": 0.12121437255625157, "strength": 0.06663282893063815 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 3, "id": "persistent-ai-mediated-externalized-cognition-loop", "parent_id": "cognitive-responsive-city-infrastructure", "path_count": 1, "path_product": 0.13566458837559306, "strength": 0.07602034279669745 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 3, "id": "persistent-friction-as-system-rewriting", "parent_id": "deviation-native-regenerative-resilience", "path_count": 1, "path_product": 0.1230698030184999, "strength": 0.07602034279669745 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "possibility-space-cognitive-mesh", "parent_id": "predictive-living-experience-mesh", "path_count": 1, "path_product": 0.15971370048763897, "strength": 0.09768308193209463 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "recursive-ai-scaffolded-thought-and-workflow-construction", "parent_id": "ai-mediated-adaptive-creation-workshop-presentation-and-personal-manufacturing-loops", "path_count": 1, "path_product": 0.17517358109686554, "strength": 0.21595600613940613 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 3, "id": "suspended-furniture-movable-structures-and-chaotic-construction", "parent_id": "biological-geometry-and-emergent-structures", "path_count": 1, "path_product": 0.1356388336200572, "strength": 0.07602034279669745 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 3, "id": "voice-first-continuous-cognitive-offloading-layer", "parent_id": "cognitive-responsive-city-infrastructure", "path_count": 1, "path_product": 0.13215760773640367, "strength": 0.07602034279669745 } ], "score": "path-bottleneck", "status": "candidate", "visual_interpretation": "Branch-level plateaus: one weak bridge dims every descendant beyond it." }, { "caution": "The probability-union display treats correlated paths as support.", "claim": "Accumulate support from every simple route within three hops.", "direct_edges": [ { "id": "adaptive-food-abundance-infrastructure", "similarity": 0.45797800306970304 }, { "id": "fluid-access-habitat-and-logistics-grid", "similarity": 0.40401120004329305 }, { "id": "adaptive-energy-mobility-civic-infrastructure-mesh", "similarity": 0.3988415409660473 }, { "id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "similarity": 0.3880101713983487 }, { "id": "cultivated-bio-circulatory-infrastructure", "similarity": 0.3846976854835957 }, { "id": "real-time-logistics-for-personal-items-tools-and-materials", "similarity": 0.38331641446531906 } ], "graph": "ranked", "id": "ranked-multipath", "label": "Multipath support", "metrics": { "depth_counts": { "1": 6, "2": 18, "3": 36 }, "direct_degree": 6, "effective_node_count": 47.087467383845635, "field_mass": 23.54653454770379, "field_mass_per_concept": 0.1279702964549119, "reach_count": 61, "visible_count": 57, "weighted_world_radius": 0.2536290244375475 }, "nodes": [ { "branch_id": "centralized-local-food-systems", "depth": 0, "id": "centralized-local-food-systems", "parent_id": "", "path_count": 1, "path_product": 1.0, "strength": 1.0 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 1, "id": "adaptive-energy-mobility-civic-infrastructure-mesh", "parent_id": "centralized-local-food-systems", "path_count": 18, "path_product": 0.3988415409660473, "strength": 0.9680398174737429 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 1, "id": "adaptive-food-abundance-infrastructure", "parent_id": "centralized-local-food-systems", "path_count": 6, "path_product": 0.45797800306970304, "strength": 0.7861812571097822 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 1, "id": "cultivated-bio-circulatory-infrastructure", "parent_id": "centralized-local-food-systems", "path_count": 8, "path_product": 0.3846976854835957, "strength": 0.8078447484271112 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 1, "id": "fluid-access-habitat-and-logistics-grid", "parent_id": "centralized-local-food-systems", "path_count": 4, "path_product": 0.40401120004329305, "strength": 0.687650615315796 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 1, "id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "parent_id": "centralized-local-food-systems", "path_count": 9, "path_product": 0.3880101713983487, "strength": 0.8651895705936099 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 1, "id": "real-time-logistics-for-personal-items-tools-and-materials", "parent_id": "centralized-local-food-systems", "path_count": 1, "path_product": 0.38331641446531906, "strength": 0.38331641446531906 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 2, "id": "adaptive-perceptual-living-environments", "parent_id": "fluid-access-habitat-and-logistics-grid", "path_count": 8, "path_product": 0.22474043940390967, "strength": 0.7420348248093518 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 2, "id": "adaptive-volumetric-play-mobility-infrastructure", "parent_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "path_count": 17, "path_product": 0.2720354523423793, "strength": 0.9526450199829174 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 2, "id": "ai-mediated-adaptive-creation-workshop-presentation-and-personal-manufacturing-loops", "parent_id": "adaptive-food-abundance-infrastructure", "path_count": 4, "path_product": 0.2627990558368564, "strength": 0.4937988222797308 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 2, "id": "ambient-programmable-body-space-infrastructure", "parent_id": "cultivated-bio-circulatory-infrastructure", "path_count": 4, "path_product": 0.22190812470023988, "strength": 0.5121372174569155 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 2, "id": "autonomous-declarative-work-orchestration-loop", "parent_id": "real-time-logistics-for-personal-items-tools-and-materials", "path_count": 2, "path_product": 0.1789811128725447, "strength": 0.26410594870910875 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 2, "id": "bio-digital-symbiotic-evolutionary-infrastructure", "parent_id": "adaptive-food-abundance-infrastructure", "path_count": 9, "path_product": 0.27607853994986176, "strength": 0.8212103265785808 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 2, "id": "biological-geometry-and-emergent-structures", "parent_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "path_count": 4, "path_product": 0.2314628701763053, "strength": 0.5224128191870159 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 2, "id": "cognitive-responsive-city-infrastructure", "parent_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "path_count": 8, "path_product": 0.22435600930369365, "strength": 0.7736959260680185 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 2, "id": "deviation-native-regenerative-resilience", "parent_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "path_count": 5, "path_product": 0.22792931967621888, "strength": 0.5788062115469783 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 2, "id": "endosymbiotic-ai-human-infrastructure", "parent_id": "adaptive-food-abundance-infrastructure", "path_count": 14, "path_product": 0.28060917485415365, "strength": 0.9309942425270962 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 2, "id": "flow-routed-energy-work-architecture", "parent_id": "real-time-logistics-for-personal-items-tools-and-materials", "path_count": 2, "path_product": 0.18274905396697588, "strength": 0.2657361634721572 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 2, "id": "functionality-first-living-code-ecosystem", "parent_id": "fluid-access-habitat-and-logistics-grid", "path_count": 3, "path_product": 0.21717983936815702, "strength": 0.395761480515916 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 2, "id": "information-gain-agriculture", "parent_id": "adaptive-food-abundance-infrastructure", "path_count": 3, "path_product": 0.26251700856093735, "strength": 0.4400255625621067 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 2, "id": "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "parent_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "path_count": 17, "path_product": 0.2769972706430902, "strength": 0.955757139240447 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 2, "id": "pendulum-warehouse-and-vector-latch-logistics", "parent_id": "real-time-logistics-for-personal-items-tools-and-materials", "path_count": 1, "path_product": 0.207022284283854, "strength": 0.20702228428385405 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 2, "id": "post-car-choreographed-flow-city", "parent_id": "real-time-logistics-for-personal-items-tools-and-materials", "path_count": 3, "path_product": 0.19006269577744064, "strength": 0.4211250703055698 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 2, "id": "predictive-living-experience-mesh", "parent_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "path_count": 8, "path_product": 0.2611858794636435, "strength": 0.7587208653296599 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 2, "id": "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "parent_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "path_count": 12, "path_product": 0.26668750037164907, "strength": 0.8922910606792047 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "adaptive-ai-mediated-visual-language", "parent_id": "ai-mediated-adaptive-creation-workshop-presentation-and-personal-manufacturing-loops", "path_count": 1, "path_product": 0.1733256692551487, "strength": 0.1733256692551487 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 3, "id": "adaptive-experiential-knowledge-landscapes", "parent_id": "adaptive-perceptual-living-environments", "path_count": 1, "path_product": 0.1455921586087007, "strength": 0.14559215860870067 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "ai-externalized-ideation-loop", "parent_id": "ai-mediated-adaptive-creation-workshop-presentation-and-personal-manufacturing-loops", "path_count": 1, "path_product": 0.17532281554589543, "strength": 0.17532281554589546 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "ai-externalized-thought-flow", "parent_id": "endosymbiotic-ai-human-infrastructure", "path_count": 6, "path_product": 0.1910870542672505, "strength": 0.6337087095515572 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "ai-gardened-pattern-field-agency", "parent_id": "information-gain-agriculture", "path_count": 1, "path_product": 0.1300191323376396, "strength": 0.13001913233763962 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "ai-mediated-cognitive-intimacy-and-collective-co-processing", "parent_id": "endosymbiotic-ai-human-infrastructure", "path_count": 3, "path_product": 0.1776222129198524, "strength": 0.4131414313445593 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "ai-mediated-externalized-cognition-loop", "parent_id": "endosymbiotic-ai-human-infrastructure", "path_count": 4, "path_product": 0.178000447109295, "strength": 0.517534436644312 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "ai-mediated-living-knowledge-fabric", "parent_id": "predictive-living-experience-mesh", "path_count": 2, "path_product": 0.1495666369879172, "strength": 0.25164350851216044 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "ai-mediated-seed-idea-ecology", "parent_id": "ai-mediated-adaptive-creation-workshop-presentation-and-personal-manufacturing-loops", "path_count": 1, "path_product": 0.17403873547153761, "strength": 0.1740387354715376 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 3, "id": "ai-orchestrated-personal-development-operating-system", "parent_id": "autonomous-declarative-work-orchestration-loop", "path_count": 1, "path_product": 0.0965753545476229, "strength": 0.0965753545476229 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "anchor-tension-mobility-networks", "parent_id": "adaptive-volumetric-play-mobility-infrastructure", "path_count": 3, "path_product": 0.18266438079157396, "strength": 0.4172663286035746 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 3, "id": "continuous-externalized-cognitive-flow-loop", "parent_id": "functionality-first-living-code-ecosystem", "path_count": 2, "path_product": 0.11857701688165993, "strength": 0.20725228784916294 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "continuous-generative-production-distribution-stack-with-ai-co-execution-and-latent-creative-navigation", "parent_id": "ai-mediated-adaptive-creation-workshop-presentation-and-personal-manufacturing-loops", "path_count": 1, "path_product": 0.17784188983964005, "strength": 0.1778418898396401 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 3, "id": "conversational-code-fabric", "parent_id": "functionality-first-living-code-ecosystem", "path_count": 1, "path_product": 0.1332199858187195, "strength": 0.13321998581871952 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 3, "id": "conversational-graph-orchestrated-ai-work-layer", "parent_id": "autonomous-declarative-work-orchestration-loop", "path_count": 1, "path_product": 0.09803821965683121, "strength": 0.09803821965683124 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "ecosystem-encoded-innovation-production", "parent_id": "information-gain-agriculture", "path_count": 1, "path_product": 0.12265303869346879, "strength": 0.12265303869346877 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 3, "id": "embodied-generative-spatial-music-systems", "parent_id": "biological-geometry-and-emergent-structures", "path_count": 2, "path_product": 0.14040027051322598, "strength": 0.2487013637272193 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 3, "id": "evolutionary-diagram-to-code-feedback-loop", "parent_id": "functionality-first-living-code-ecosystem", "path_count": 1, "path_product": 0.11614920714546244, "strength": 0.1161492071454624 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 3, "id": "externalized-divergence-convergence-cognitive-routing-ecology", "parent_id": "deviation-native-regenerative-resilience", "path_count": 2, "path_product": 0.12391068065707417, "strength": 0.22055004706887016 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "parent_id": "predictive-living-experience-mesh", "path_count": 1, "path_product": 0.14935104793422074, "strength": 0.14935104793422072 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 3, "id": "externalized-seed-and-scaffold-creativity-infrastructure", "parent_id": "cognitive-responsive-city-infrastructure", "path_count": 2, "path_product": 0.13336802653627325, "strength": 0.24842512804061034 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 3, "id": "functionality-driven-development-runtime-with-ai-managed-implementations", "parent_id": "functionality-first-living-code-ecosystem", "path_count": 1, "path_product": 0.13939640185979435, "strength": 0.1393964018597944 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "hoverboard-zipline-movement-system", "parent_id": "adaptive-volumetric-play-mobility-infrastructure", "path_count": 6, "path_product": 0.17508346901139824, "strength": 0.6183852188909531 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 3, "id": "implementation-friction-collapse-orchestration-loop", "parent_id": "autonomous-declarative-work-orchestration-loop", "path_count": 1, "path_product": 0.10022955607445065, "strength": 0.10022955607445061 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 3, "id": "intent-driven-ai-orchestration-system", "parent_id": "autonomous-declarative-work-orchestration-loop", "path_count": 1, "path_product": 0.10462264036063536, "strength": 0.1046226403606354 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 3, "id": "movement-coupled-cognitive-work-environments", "parent_id": "flow-routed-energy-work-architecture", "path_count": 1, "path_product": 0.09903537274292021, "strength": 0.09903537274292018 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "nature-guided-architecture-and-products", "parent_id": "bio-digital-symbiotic-evolutionary-infrastructure", "path_count": 5, "path_product": 0.15593417814001373, "strength": 0.5221756005076548 }, { "branch_id": "fluid-access-habitat-and-logistics-grid", "depth": 3, "id": "pareidolic-responsive-environments", "parent_id": "adaptive-perceptual-living-environments", "path_count": 1, "path_product": 0.1472125301310957, "strength": 0.1472125301310957 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 3, "id": "participatory-generative-art-infrastructure", "parent_id": "ambient-programmable-body-space-infrastructure", "path_count": 1, "path_product": 0.12432131416517592, "strength": 0.12432131416517589 }, { "branch_id": "real-time-logistics-for-personal-items-tools-and-materials", "depth": 3, "id": "pendulum-cable-security", "parent_id": "pendulum-warehouse-and-vector-latch-logistics", "path_count": 1, "path_product": 0.12121437255625157, "strength": 0.12121437255625156 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 3, "id": "persistent-ai-mediated-externalized-cognition-loop", "parent_id": "cognitive-responsive-city-infrastructure", "path_count": 2, "path_product": 0.13566458837559306, "strength": 0.25239279257735003 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 3, "id": "persistent-friction-as-system-rewriting", "parent_id": "deviation-native-regenerative-resilience", "path_count": 1, "path_product": 0.1230698030184999, "strength": 0.1230698030184999 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "possibility-space-cognitive-mesh", "parent_id": "predictive-living-experience-mesh", "path_count": 1, "path_product": 0.15971370048763897, "strength": 0.159713700487639 }, { "branch_id": "adaptive-food-abundance-infrastructure", "depth": 3, "id": "recursive-ai-scaffolded-thought-and-workflow-construction", "parent_id": "ai-mediated-adaptive-creation-workshop-presentation-and-personal-manufacturing-loops", "path_count": 1, "path_product": 0.17517358109686554, "strength": 0.17517358109686554 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 3, "id": "suspended-furniture-movable-structures-and-chaotic-construction", "parent_id": "biological-geometry-and-emergent-structures", "path_count": 3, "path_product": 0.1356388336200572, "strength": 0.3364080407848169 }, { "branch_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "depth": 3, "id": "voice-first-continuous-cognitive-offloading-layer", "parent_id": "cognitive-responsive-city-infrastructure", "path_count": 2, "path_product": 0.13215760773640367, "strength": 0.2463297173327822 } ], "score": "multipath-support", "status": "candidate", "visual_interpretation": "Bright convergence hotspots where several routes support the same target; redundant hubs can quickly saturate." } ], "code": "C040", "hue": 78, "id": "centralized-local-food-systems", "observation": "Its sixth-ranked relation is only 0.383; the rank lens still draws six direct relations.", "profile_order": [ "centralized-local-food-systems", "adaptive-food-abundance-infrastructure", "fluid-access-habitat-and-logistics-grid", "adaptive-energy-mobility-civic-infrastructure-mesh", "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "cultivated-bio-circulatory-infrastructure", "real-time-logistics-for-personal-items-tools-and-materials", "post-car-choreographed-flow-city", "pendulum-warehouse-and-vector-latch-logistics", "continuous-externalized-cognitive-flow-loop", "cognitive-responsive-city-infrastructure", "information-gain-agriculture", "adaptive-lifecycle-stewardship-economy", "functionality-first-living-code-ecosystem", "distributed-optical-architecture-of-material-light-systems", "endosymbiotic-ai-human-infrastructure", "daos-for-complex-service-loops", "ai-mediated-adaptive-creation-workshop-presentation-and-personal-manufacturing-loops", "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "ecosystem-encoded-innovation-production", "continuous-generative-production-distribution-stack-with-ai-co-execution-and-latent-creative-navigation", "externalized-seed-and-scaffold-creativity-infrastructure", "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "conceptographic-externalized-cognition-infrastructure", "biological-geometry-and-emergent-structures", "hybrid-games-art-games-and-strategy-abstraction", "continuous-externalized-ai-cognition-loop", "predictive-living-experience-mesh", "bio-digital-symbiotic-evolutionary-infrastructure", "embodied-intent-collapse-input-systems", "adaptive-perceptual-living-environments", "externalized-cognition", "implementation-friction-collapse-orchestration-loop", "deviation-native-regenerative-resilience", "externalized-seed-stream-knowledge-graph-production-infrastructure", "nature-guided-architecture-and-products", "externalized-divergence-convergence-cognitive-routing-ecology", "suspended-furniture-movable-structures-and-chaotic-construction", "modular-ai-mediated-living-codex", "inverted-communication-model", "continuous-externalized-thought-language-co-processing-loop", "ai-mediated-autopilot-labor-cognition", "embodied-maintenance-as-wellness-infrastructure", "parallel-co-exploratory-creative-system", "cost-compressed-externalized-cognition-life-architecture", "seed-and-expansion-cognitive-infrastructure", "intent-driven-ai-orchestration-system", "integrated-trust-and-feedback-dealership-operating-system", "externalized-navigable-learning-systems", "ai-mediated-externalized-cognition-loop", "ai-externalized-ideation-loop", "ambient-programmable-body-space-infrastructure", "cognitive-offloading", "hoverboard-zipline-movement-system", "graph-embedded-cellular-event-software", "split-brain-ai-system", "ai-first-externalized-cognitive-operating-system", "ai-mediated-cognitive-intimacy-and-collective-co-processing", "velcro-like-reconfigurable-cord-or-mesh-physical-space", "stochastic-constraint-field-generative-systems-across-physical-tiles-diffusion-media-and-lottery-allocation", "semantic-graph-coordination-for-human-ai-contribution-systems", "decoupled-vision-market-for-ai-mediated-future-building", "thought-externalization", "ai-externalized-thought-flow", "lacunar-code", "externalized-recursive-embedding-graph-knowledge-field", "self-directed-cognitive-scaffolding-with-hibernating-execution-layers", "ai-gardened-pattern-field-agency", "voice-first-continuous-cognitive-offloading-layer", "voice-ai-externalized-cognition-loop", "functionality-driven-development-runtime-with-ai-managed-implementations", "theme-parks-as-bounded-civilizational-experiments", "externalized-fractal-cognitive-cartography", "ai-mediated-seed-idea-ecology", "recursive-ai-mediated-externalized-cognition-loop", "semantic-reflex-network-for-code-systems", "flow-routed-energy-work-architecture", "forest-path-reservation", "working-with-chaos-through-stable-attractor-regions", "intent-driven-ambient-spatial-execution-and-toolspace-layer", "persistent-ai-mediated-externalized-cognition-loop", "compression-through-chaotic-structures", "persistent-ai-mediated-conversational-routing-fabric", "ai-mediated-living-knowledge-fabric", "conversational-code-fabric", "canine-centered-interspecies-urban-citizenship", "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "intent-compiled-generative-infrastructure", "continuous-externalized-thought-infrastructure", "embodied-generative-spatial-music-systems", "graph-native-relational-computation-substrate", "adaptive-ai-mediated-visual-language", "intent-driven-adaptive-communication-and-research-mediation-infrastructure", "autonomous-declarative-work-orchestration-loop", "graph-native-schema-bound-execution-fabric", "goal-linked-nfts-and-high-value-goods", "identity-decoupled-generative-idea-ecosystem", "personalized-thought-materialization-room", "contribution-weighted-open-commons-allocation-and-attribution-infrastructure", "living-spatial-knowledge-landscape-interfaces", "curiosity-driven-threshold-cartography-narrative-engine", "fractal-physical-connector-and-cable-power-interface", "seed-expanded-human-ai-co-reasoning", "latent-multimodal-pattern-space-communication", "participatory-generative-art-infrastructure", "game-modding-as-prototyping", "persistent-friction-as-system-rewriting", "perceptual-computational-environmental-stack-for-augmented-ecological-reality-systems", "human-ai-communication-optimized-across-cycles", "ai-orchestrated-personal-development-operating-system", "synthetic-company-operating-benchmark-commons", "ai-operable-construction-knowledge-infrastructure", "intent-driven-development-cockpit-with-semantic-control-surfaces", "movement-coupled-cognitive-work-environments", "ai-mediated-spore-scale-idea-propagation", "seed-reconstructive-information-chemistry", "information-chemistry", "pareidolic-card-and-grid-play-interfaces", "wheelchair-first-architecture-and-infrastructure", "adaptive-volumetric-play-mobility-infrastructure", "reference-anchored-embedding-terrains-and-embodied-navigation-interfaces", "externalized-predictive-conversational-cognition", "ai-native-software-orchestration", "pareidolia-vantage-points-in-cities", "position-aware-audio-installation", "graph-native-ai-software-runtime", "conversational-co-adaptive-training-infrastructure", "pareidolic-responsive-environments", "navigable-embedding-visual-cognition-systems", "attention-conditioned-generative-media-and-knowledge-systems", "intent-to-architecture-human-ai-development-split", "embedding-native-visual-and-adaptive-language-artifacts", "anchor-tension-mobility-networks", "adaptive-modular-narrative-infrastructure", "kinetic-habitat-cognition", "conversational-graph-orchestrated-ai-work-layer", "persistent-conversational-cognitive-infrastructure", "ai-mediated-continuous-thought-capture-archive", "ai-mediated-understanding-transfer-network", "seed-stream-externalized-ideation", "ambient-relational-ai-and-artifact-scaffolds", "externalized-scratchpad-architecture-for-ai-native-development", "uncertainty-preserving-playable-game-systems", "ai-orchestrated-graph-and-quest-execution-system", "self-directed-exploration-and-role-separation", "inhabitable-embedding-cartography", "embedding-space-cognitive-navigation", "ambiguity-controlled-ai-co-creation", "intent-structured-attention-and-experience-infrastructure", "adaptive-experiential-knowledge-landscapes", "ai-mediated-cognitive-cartography", "probability-based-faster-than-light-communication", "possibility-space-cognitive-mesh", "embedding-native-geometric-knowledge-navigation-and-semantic-field-manipulation", "debugging-through-observable-state-and-hidden-state-drift", "cloud-movement-and-flexible-aerial-artwork", "intent-to-behavior-compilation-layer-for-software-systems", "lifelong-students-and-surprise-optimization", "sonic-spatial-augmentation-systems", "externalized-recursive-thought-archive", "personal-use-tinkering-software-as-exploratory-craft", "schema-contracted-synthetic-execution-graph", "adaptive-sonic-cognitive-encoding-and-navigable-music-ai-knowledge-systems", "conversation-compounded-ai-textbook-infrastructure", "conversational-graph-vector-knowledge-fabric", "pendulum-cable-security", "parallel-externalized-conversational-cognition", "sketch-and-handwriting-native-intent-interface-for-generative-co-creation", "recursive-residual-information-chemistry", "recursive-ai-scaffolded-thought-and-workflow-construction", "relational-provenance-token-economies", "logarithmic-learning", "pattern-based-animal-survival-navigation-indicators", "evolutionary-diagram-to-code-feedback-loop", "adaptive-embedding-text-knowledge-terrain", "conceptography", "arrangement-as-substance-the-cord-emergence-demonstration", "semantic-commit-memory", "information-fingerprinting", "anthropomorphic-forensic-debugging-loop", "pareidolia-cinema-begins", "epistemic-graph-development-with-signal-oriented-validation", "three-dimensional-go", "mist-art-installation" ], "role": "Weak forced edge", "title": "Centralized/local food systems" }, { "arms": [ { "caution": "The regular footprint is partly guaranteed by fixed out-degree.", "claim": "bounded navigational identity; membership does not claim that the sixth neighbor is absolutely close", "direct_edges": [ { "id": "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "similarity": 0.5970118793502581 }, { "id": "adaptive-volumetric-play-mobility-infrastructure", "similarity": 0.5743099287860006 }, { "id": "adaptive-energy-mobility-civic-infrastructure-mesh", "similarity": 0.5709694989311874 }, { "id": "cultivated-bio-circulatory-infrastructure", "similarity": 0.5678897633170306 }, { "id": "cognitive-responsive-city-infrastructure", "similarity": 0.5581175910429446 }, { "id": "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "similarity": 0.5551396742365818 } ], "graph": "ranked", "id": "ranked-path", "label": "Nearest six · path product", "metrics": { "depth_counts": { "1": 6, "2": 12, "3": 28 }, "direct_degree": 6, "effective_node_count": 43.22658460432852, "field_mass": 14.260850647480432, "field_mass_per_concept": 0.07750462308413278, "reach_count": 47, "visible_count": 46, "weighted_world_radius": 0.4176515037357235 }, "nodes": [ { "branch_id": "post-car-choreographed-flow-city", "depth": 0, "id": "post-car-choreographed-flow-city", "parent_id": "", "path_count": 1, "path_product": 1.0, "strength": 1.0 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 1, "id": "adaptive-energy-mobility-civic-infrastructure-mesh", "parent_id": "post-car-choreographed-flow-city", "path_count": 1, "path_product": 0.5709694989311874, "strength": 0.5709694989311874 }, { "branch_id": "adaptive-volumetric-play-mobility-infrastructure", "depth": 1, "id": "adaptive-volumetric-play-mobility-infrastructure", "parent_id": "post-car-choreographed-flow-city", "path_count": 1, "path_product": 0.5743099287860006, "strength": 0.5743099287860006 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 1, "id": "cognitive-responsive-city-infrastructure", "parent_id": "post-car-choreographed-flow-city", "path_count": 1, "path_product": 0.5581175910429446, "strength": 0.5581175910429446 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 1, "id": "cultivated-bio-circulatory-infrastructure", "parent_id": "post-car-choreographed-flow-city", "path_count": 1, "path_product": 0.5678897633170306, "strength": 0.5678897633170306 }, { "branch_id": "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "depth": 1, "id": "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "parent_id": "post-car-choreographed-flow-city", "path_count": 1, "path_product": 0.5551396742365818, "strength": 0.5551396742365818 }, { "branch_id": "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "depth": 1, "id": "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "parent_id": "post-car-choreographed-flow-city", "path_count": 1, "path_product": 0.5970118793502581, "strength": 0.5970118793502581 }, { "branch_id": "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "depth": 2, "id": "adaptive-perceptual-living-environments", "parent_id": "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "path_count": 1, "path_product": 0.34504749700178805, "strength": 0.34504749700178805 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 2, "id": "ai-externalized-thought-flow", "parent_id": "cognitive-responsive-city-infrastructure", "path_count": 1, "path_product": 0.36606986323114243, "strength": 0.36606986323114243 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 2, "id": "ambient-programmable-body-space-infrastructure", "parent_id": "cultivated-bio-circulatory-infrastructure", "path_count": 1, "path_product": 0.32758021992185615, "strength": 0.32758021992185615 }, { "branch_id": "adaptive-volumetric-play-mobility-infrastructure", "depth": 2, "id": "anchor-tension-mobility-networks", "parent_id": "adaptive-volumetric-play-mobility-infrastructure", "path_count": 1, "path_product": 0.38563344086532825, "strength": 0.38563344086532825 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 2, "id": "bio-digital-symbiotic-evolutionary-infrastructure", "parent_id": "cultivated-bio-circulatory-infrastructure", "path_count": 1, "path_product": 0.33927561249874927, "strength": 0.33927561249874927 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 2, "id": "endosymbiotic-ai-human-infrastructure", "parent_id": "cognitive-responsive-city-infrastructure", "path_count": 1, "path_product": 0.3594778726792331, "strength": 0.3594778726792331 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 2, "id": "externalized-seed-and-scaffold-creativity-infrastructure", "parent_id": "cognitive-responsive-city-infrastructure", "path_count": 1, "path_product": 0.3317719989920987, "strength": 0.3317719989920987 }, { "branch_id": "adaptive-volumetric-play-mobility-infrastructure", "depth": 2, "id": "hoverboard-zipline-movement-system", "parent_id": "adaptive-volumetric-play-mobility-infrastructure", "path_count": 1, "path_product": 0.36962893532343266, "strength": 0.36962893532343266 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 2, "id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "parent_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "path_count": 1, "path_product": 0.36599995998429496, "strength": 0.36599995998429496 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 2, "id": "persistent-ai-mediated-externalized-cognition-loop", "parent_id": "cognitive-responsive-city-infrastructure", "path_count": 1, "path_product": 0.3374850243102987, "strength": 0.3374850243102987 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 2, "id": "predictive-living-experience-mesh", "parent_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "path_count": 1, "path_product": 0.3739058132311076, "strength": 0.3739058132311076 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 2, "id": "voice-first-continuous-cognitive-offloading-layer", "parent_id": "cognitive-responsive-city-infrastructure", "path_count": 1, "path_product": 0.3287609094882653, "strength": 0.3287609094882653 }, { "branch_id": "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "depth": 3, "id": "adaptive-experiential-knowledge-landscapes", "parent_id": "adaptive-perceptual-living-environments", "path_count": 1, "path_product": 0.2235299087438982, "strength": 0.2235299087438982 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "adaptive-food-abundance-infrastructure", "parent_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "path_count": 1, "path_product": 0.20874222878282753, "strength": 0.20874222878282753 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "ai-externalized-ideation-loop", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.28579972130144776, "strength": 0.28579972130144776 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "ai-first-externalized-cognitive-operating-system", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.2767516828977261, "strength": 0.2767516828977261 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "ai-mediated-cognitive-intimacy-and-collective-co-processing", "parent_id": "endosymbiotic-ai-human-infrastructure", "path_count": 1, "path_product": 0.22754514450282304, "strength": 0.22754514450282304 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "ai-mediated-externalized-cognition-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.288607857076188, "strength": 0.288607857076188 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "ai-mediated-living-knowledge-fabric", "parent_id": "predictive-living-experience-mesh", "path_count": 1, "path_product": 0.2141150783114732, "strength": 0.2141150783114732 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "ai-mediated-seed-idea-ecology", "parent_id": "externalized-seed-and-scaffold-creativity-infrastructure", "path_count": 1, "path_product": 0.22833033310244236, "strength": 0.22833033310244236 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "biological-geometry-and-emergent-structures", "parent_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "path_count": 1, "path_product": 0.21833293935845088, "strength": 0.21833293935845088 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "continuous-externalized-ai-cognition-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.27235904263448196, "strength": 0.27235904263448196 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "continuous-externalized-cognitive-flow-loop", "parent_id": "voice-first-continuous-cognitive-offloading-layer", "path_count": 1, "path_product": 0.2210630588623684, "strength": 0.2210630588623684 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "deviation-native-regenerative-resilience", "parent_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "path_count": 1, "path_product": 0.21499983255619035, "strength": 0.21499983255619035 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 3, "id": "embodied-generative-spatial-music-systems", "parent_id": "ambient-programmable-body-space-infrastructure", "path_count": 1, "path_product": 0.18598633533538084, "strength": 0.18598633533538084 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "externalized-cognition", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.27248135363197434, "strength": 0.27248135363197434 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "parent_id": "predictive-living-experience-mesh", "path_count": 1, "path_product": 0.21380644753628877, "strength": 0.21380644753628877 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "externalized-seed-stream-knowledge-graph-production-infrastructure", "parent_id": "externalized-seed-and-scaffold-creativity-infrastructure", "path_count": 1, "path_product": 0.2377772482705402, "strength": 0.2377772482705402 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 3, "id": "nature-guided-architecture-and-products", "parent_id": "bio-digital-symbiotic-evolutionary-infrastructure", "path_count": 1, "path_product": 0.19162903356251515, "strength": 0.19162903356251515 }, { "branch_id": "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "depth": 3, "id": "pareidolic-responsive-environments", "parent_id": "adaptive-perceptual-living-environments", "path_count": 1, "path_product": 0.22601769037989705, "strength": 0.22601769037989705 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 3, "id": "participatory-generative-art-infrastructure", "parent_id": "ambient-programmable-body-space-infrastructure", "path_count": 1, "path_product": 0.1835228137330047, "strength": 0.1835228137330047 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "possibility-space-cognitive-mesh", "parent_id": "predictive-living-experience-mesh", "path_count": 1, "path_product": 0.22864130782113276, "strength": 0.22864130782113276 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "recursive-ai-mediated-externalized-cognition-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.2582574657073216, "strength": 0.2582574657073216 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "recursive-ai-scaffolded-thought-and-workflow-construction", "parent_id": "externalized-seed-and-scaffold-creativity-infrastructure", "path_count": 1, "path_product": 0.2245569201155223, "strength": 0.2245569201155223 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "seed-and-expansion-cognitive-infrastructure", "parent_id": "externalized-seed-and-scaffold-creativity-infrastructure", "path_count": 1, "path_product": 0.22662047426188464, "strength": 0.22662047426188464 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "seed-expanded-human-ai-co-reasoning", "parent_id": "externalized-seed-and-scaffold-creativity-infrastructure", "path_count": 1, "path_product": 0.2361238286395149, "strength": 0.2361238286395149 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "seed-stream-externalized-ideation", "parent_id": "externalized-seed-and-scaffold-creativity-infrastructure", "path_count": 1, "path_product": 0.2466643362704526, "strength": 0.2466643362704526 }, { "branch_id": "adaptive-volumetric-play-mobility-infrastructure", "depth": 3, "id": "suspended-furniture-movable-structures-and-chaotic-construction", "parent_id": "anchor-tension-mobility-networks", "path_count": 1, "path_product": 0.24670622843084186, "strength": 0.24670622843084186 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "thought-externalization", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.2890943112897047, "strength": 0.2890943112897047 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "voice-ai-externalized-cognition-loop", "parent_id": "voice-first-continuous-cognitive-offloading-layer", "path_count": 1, "path_product": 0.25871254117253867, "strength": 0.25871254117253867 } ], "score": "path-product", "status": "baseline", "visual_interpretation": "A medium-sized, evenly branched footprint whose fading is mostly a record of hop count." }, { "caution": "One cutoff can turn a continuous boundary into a hard cliff.", "claim": "absolute connectivity; concepts with no qualifying edge remain visibly isolated and dense regions may have more than six edges", "direct_edges": [], "graph": "absolute-threshold", "id": "absolute-threshold", "label": "Cosine ≥ 0.60 · path product", "metrics": { "depth_counts": { "1": 0, "2": 0, "3": 0 }, "direct_degree": 0, "effective_node_count": 0.0, "field_mass": 0, "field_mass_per_concept": 0.0, "reach_count": 1, "visible_count": 0, "weighted_world_radius": 0.0 }, "nodes": [ { "branch_id": "post-car-choreographed-flow-city", "depth": 0, "id": "post-car-choreographed-flow-city", "parent_id": "", "path_count": 1, "path_product": 1.0, "strength": 1.0 } ], "score": "path-product", "status": "keep", "threshold": 0.6, "visual_interpretation": "Either a blank field or a saturated component: the visual bifurcation is the evidence this lens contributes." }, { "caution": "Reciprocity can reject a real relation near a dense hub.", "claim": "Keep a ranked edge only when both endpoints choose each other.", "direct_edges": [ { "id": "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "similarity": 0.5970118793502581 } ], "graph": "mutual-ranked", "id": "mutual-ranked-path", "label": "Mutual nearest", "metrics": { "depth_counts": { "1": 1, "2": 5, "3": 6 }, "direct_degree": 1, "effective_node_count": 11.457730994255002, "field_mass": 3.9625977164508592, "field_mass_per_concept": 0.021535857154624236, "reach_count": 13, "visible_count": 12, "weighted_world_radius": 0.12779531193193255 }, "nodes": [ { "branch_id": "post-car-choreographed-flow-city", "depth": 0, "id": "post-car-choreographed-flow-city", "parent_id": "", "path_count": 1, "path_product": 1.0, "strength": 1.0 }, { "branch_id": "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "depth": 1, "id": "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "parent_id": "post-car-choreographed-flow-city", "path_count": 1, "path_product": 0.5970118793502581, "strength": 0.5970118793502581 }, { "branch_id": "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "depth": 2, "id": "adaptive-energy-mobility-civic-infrastructure-mesh", "parent_id": "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "path_count": 1, "path_product": 0.39919514253821076, "strength": 0.39919514253821076 }, { "branch_id": "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "depth": 2, "id": "adaptive-volumetric-play-mobility-infrastructure", "parent_id": "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "path_count": 1, "path_product": 0.38878565425624884, "strength": 0.38878565425624884 }, { "branch_id": "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "depth": 2, "id": "cultivated-bio-circulatory-infrastructure", "parent_id": "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "path_count": 1, "path_product": 0.38976509513605095, "strength": 0.38976509513605095 }, { "branch_id": "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "depth": 2, "id": "hoverboard-zipline-movement-system", "parent_id": "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "path_count": 1, "path_product": 0.35280747632641807, "strength": 0.35280747632641807 }, { "branch_id": "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "depth": 2, "id": "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "parent_id": "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "path_count": 1, "path_product": 0.369385061633318, "strength": 0.369385061633318 }, { "branch_id": "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "depth": 3, "id": "adaptive-perceptual-living-environments", "parent_id": "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "path_count": 1, "path_product": 0.22959157282660797, "strength": 0.22959157282660797 }, { "branch_id": "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "depth": 3, "id": "ambient-programmable-body-space-infrastructure", "parent_id": "cultivated-bio-circulatory-infrastructure", "path_count": 1, "path_product": 0.22483119758447276, "strength": 0.22483119758447276 }, { "branch_id": "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "depth": 3, "id": "anchor-tension-mobility-networks", "parent_id": "adaptive-volumetric-play-mobility-infrastructure", "path_count": 1, "path_product": 0.2610589545732571, "strength": 0.2610589545732571 }, { "branch_id": "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "depth": 3, "id": "bio-digital-symbiotic-evolutionary-infrastructure", "parent_id": "cultivated-bio-circulatory-infrastructure", "path_count": 1, "path_product": 0.23285820580832303, "strength": 0.23285820580832303 }, { "branch_id": "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "depth": 3, "id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "parent_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "path_count": 1, "path_product": 0.2558900369781723, "strength": 0.2558900369781723 }, { "branch_id": "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "depth": 3, "id": "predictive-living-experience-mesh", "parent_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "path_count": 1, "path_product": 0.2614174394395215, "strength": 0.2614174394395215 } ], "score": "path-product", "status": "candidate", "visual_interpretation": "Small reciprocal islands with fewer one-way spokes and visibly harder boundaries." }, { "caution": "Fading says direct root affinity, not path unreliability.", "claim": "bounded reach membership with intensity set by each reached concept's direct cosine similarity to the selected origin", "direct_edges": [ { "id": "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "similarity": 0.5970118793502581 }, { "id": "adaptive-volumetric-play-mobility-infrastructure", "similarity": 0.5743099287860006 }, { "id": "adaptive-energy-mobility-civic-infrastructure-mesh", "similarity": 0.5709694989311874 }, { "id": "cultivated-bio-circulatory-infrastructure", "similarity": 0.5678897633170306 }, { "id": "cognitive-responsive-city-infrastructure", "similarity": 0.5581175910429446 }, { "id": "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "similarity": 0.5551396742365818 } ], "graph": "ranked", "id": "origin-affinity", "label": "Nearest-six reach · origin affinity", "metrics": { "depth_counts": { "1": 6, "2": 12, "3": 28 }, "direct_degree": 6, "effective_node_count": 23.50947988771672, "field_mass": 6.524554000000001, "field_mass_per_concept": 0.03545953260869566, "reach_count": 47, "visible_count": 24, "weighted_world_radius": 0.2512335909453609 }, "nodes": [ { "branch_id": "post-car-choreographed-flow-city", "depth": 0, "id": "post-car-choreographed-flow-city", "parent_id": "", "path_count": 1, "path_product": 1.0, "strength": 1.0 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 1, "id": "adaptive-energy-mobility-civic-infrastructure-mesh", "parent_id": "post-car-choreographed-flow-city", "path_count": 1, "path_product": 0.5709694989311874, "strength": 0.44193799999999994 }, { "branch_id": "adaptive-volumetric-play-mobility-infrastructure", "depth": 1, "id": "adaptive-volumetric-play-mobility-infrastructure", "parent_id": "post-car-choreographed-flow-city", "path_count": 1, "path_product": 0.5743099287860006, "strength": 0.44862 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 1, "id": "cognitive-responsive-city-infrastructure", "parent_id": "post-car-choreographed-flow-city", "path_count": 1, "path_product": 0.5581175910429446, "strength": 0.41623600000000005 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 1, "id": "cultivated-bio-circulatory-infrastructure", "parent_id": "post-car-choreographed-flow-city", "path_count": 1, "path_product": 0.5678897633170306, "strength": 0.43578000000000006 }, { "branch_id": "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "depth": 1, "id": "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "parent_id": "post-car-choreographed-flow-city", "path_count": 1, "path_product": 0.5551396742365818, "strength": 0.41028 }, { "branch_id": "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "depth": 1, "id": "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "parent_id": "post-car-choreographed-flow-city", "path_count": 1, "path_product": 0.5970118793502581, "strength": 0.494024 }, { "branch_id": "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "depth": 2, "id": "adaptive-perceptual-living-environments", "parent_id": "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "path_count": 1, "path_product": 0.34504749700178805, "strength": 0.23055800000000004 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 2, "id": "ai-externalized-thought-flow", "parent_id": "cognitive-responsive-city-infrastructure", "path_count": 1, "path_product": 0.36606986323114243, "strength": 0.18463800000000008 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 2, "id": "ambient-programmable-body-space-infrastructure", "parent_id": "cultivated-bio-circulatory-infrastructure", "path_count": 1, "path_product": 0.32758021992185615, "strength": 0.18986800000000004 }, { "branch_id": "adaptive-volumetric-play-mobility-infrastructure", "depth": 2, "id": "anchor-tension-mobility-networks", "parent_id": "adaptive-volumetric-play-mobility-infrastructure", "path_count": 1, "path_product": 0.38563344086532825, "strength": 0.20094800000000002 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 2, "id": "bio-digital-symbiotic-evolutionary-infrastructure", "parent_id": "cultivated-bio-circulatory-infrastructure", "path_count": 1, "path_product": 0.33927561249874927, "strength": 0.05050399999999999 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 2, "id": "endosymbiotic-ai-human-infrastructure", "parent_id": "cognitive-responsive-city-infrastructure", "path_count": 1, "path_product": 0.3594778726792331, "strength": 0.12106800000000006 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 2, "id": "externalized-seed-and-scaffold-creativity-infrastructure", "parent_id": "cognitive-responsive-city-infrastructure", "path_count": 1, "path_product": 0.3317719989920987, "strength": 0.020938000000000012 }, { "branch_id": "adaptive-volumetric-play-mobility-infrastructure", "depth": 2, "id": "hoverboard-zipline-movement-system", "parent_id": "adaptive-volumetric-play-mobility-infrastructure", "path_count": 1, "path_product": 0.36962893532343266, "strength": 0.29524000000000006 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 2, "id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "parent_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "path_count": 1, "path_product": 0.36599995998429496, "strength": 0.31596400000000013 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 2, "id": "persistent-ai-mediated-externalized-cognition-loop", "parent_id": "cognitive-responsive-city-infrastructure", "path_count": 1, "path_product": 0.3374850243102987, "strength": 0.0 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 2, "id": "predictive-living-experience-mesh", "parent_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "path_count": 1, "path_product": 0.3739058132311076, "strength": 0.1845960000000001 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 2, "id": "voice-first-continuous-cognitive-offloading-layer", "parent_id": "cognitive-responsive-city-infrastructure", "path_count": 1, "path_product": 0.3287609094882653, "strength": 0.15399600000000002 }, { "branch_id": "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "depth": 3, "id": "adaptive-experiential-knowledge-landscapes", "parent_id": "adaptive-perceptual-living-environments", "path_count": 1, "path_product": 0.2235299087438982, "strength": 0.0 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "adaptive-food-abundance-infrastructure", "parent_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "path_count": 1, "path_product": 0.20874222878282753, "strength": 0.11790600000000007 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "ai-externalized-ideation-loop", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.28579972130144776, "strength": 0.0 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "ai-first-externalized-cognitive-operating-system", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.2767516828977261, "strength": 0.0 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "ai-mediated-cognitive-intimacy-and-collective-co-processing", "parent_id": "endosymbiotic-ai-human-infrastructure", "path_count": 1, "path_product": 0.22754514450282304, "strength": 0.0 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "ai-mediated-externalized-cognition-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.288607857076188, "strength": 0.0 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "ai-mediated-living-knowledge-fabric", "parent_id": "predictive-living-experience-mesh", "path_count": 1, "path_product": 0.2141150783114732, "strength": 0.0 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "ai-mediated-seed-idea-ecology", "parent_id": "externalized-seed-and-scaffold-creativity-infrastructure", "path_count": 1, "path_product": 0.22833033310244236, "strength": 0.0050000000000000044 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "biological-geometry-and-emergent-structures", "parent_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "path_count": 1, "path_product": 0.21833293935845088, "strength": 0.203094 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "continuous-externalized-ai-cognition-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.27235904263448196, "strength": 0.0017500000000000293 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "continuous-externalized-cognitive-flow-loop", "parent_id": "voice-first-continuous-cognitive-offloading-layer", "path_count": 1, "path_product": 0.2210630588623684, "strength": 0.19118600000000008 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "deviation-native-regenerative-resilience", "parent_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "path_count": 1, "path_product": 0.21499983255619035, "strength": 0.18335200000000007 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 3, "id": "embodied-generative-spatial-music-systems", "parent_id": "ambient-programmable-body-space-infrastructure", "path_count": 1, "path_product": 0.18598633533538084, "strength": 0.3243260000000001 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "externalized-cognition", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.27248135363197434, "strength": 0.0 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "parent_id": "predictive-living-experience-mesh", "path_count": 1, "path_product": 0.21380644753628877, "strength": 0.014514000000000027 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "externalized-seed-stream-knowledge-graph-production-infrastructure", "parent_id": "externalized-seed-and-scaffold-creativity-infrastructure", "path_count": 1, "path_product": 0.2377772482705402, "strength": 0.0 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 3, "id": "nature-guided-architecture-and-products", "parent_id": "bio-digital-symbiotic-evolutionary-infrastructure", "path_count": 1, "path_product": 0.19162903356251515, "strength": 0.083978 }, { "branch_id": "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "depth": 3, "id": "pareidolic-responsive-environments", "parent_id": "adaptive-perceptual-living-environments", "path_count": 1, "path_product": 0.22601769037989705, "strength": 0.15282000000000007 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 3, "id": "participatory-generative-art-infrastructure", "parent_id": "ambient-programmable-body-space-infrastructure", "path_count": 1, "path_product": 0.1835228137330047, "strength": 0.30979200000000007 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "possibility-space-cognitive-mesh", "parent_id": "predictive-living-experience-mesh", "path_count": 1, "path_product": 0.22864130782113276, "strength": 0.104128 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "recursive-ai-mediated-externalized-cognition-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.2582574657073216, "strength": 0.0 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "recursive-ai-scaffolded-thought-and-workflow-construction", "parent_id": "externalized-seed-and-scaffold-creativity-infrastructure", "path_count": 1, "path_product": 0.2245569201155223, "strength": 0.0 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "seed-and-expansion-cognitive-infrastructure", "parent_id": "externalized-seed-and-scaffold-creativity-infrastructure", "path_count": 1, "path_product": 0.22662047426188464, "strength": 0.0 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "seed-expanded-human-ai-co-reasoning", "parent_id": "externalized-seed-and-scaffold-creativity-infrastructure", "path_count": 1, "path_product": 0.2361238286395149, "strength": 0.0 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "seed-stream-externalized-ideation", "parent_id": "externalized-seed-and-scaffold-creativity-infrastructure", "path_count": 1, "path_product": 0.2466643362704526, "strength": 0.0 }, { "branch_id": "adaptive-volumetric-play-mobility-infrastructure", "depth": 3, "id": "suspended-furniture-movable-structures-and-chaotic-construction", "parent_id": "anchor-tension-mobility-networks", "path_count": 1, "path_product": 0.24670622843084186, "strength": 0.23751200000000006 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "thought-externalization", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.2890943112897047, "strength": 0.0 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "voice-ai-externalized-cognition-loop", "parent_id": "voice-first-continuous-cognitive-offloading-layer", "path_count": 1, "path_product": 0.25871254117253867, "strength": 0.0 } ], "score": "origin-affinity", "status": "keep", "visual_interpretation": "A bounded footprint with distant-in-meaning members fading out even when the traversal can still reach them." }, { "caution": "A mean can conceal a single weak bridge.", "claim": "bounded reach membership with intensity set by the candidate's mean cosine similarity to every earlier concept on its chosen path", "direct_edges": [ { "id": "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "similarity": 0.5970118793502581 }, { "id": "adaptive-volumetric-play-mobility-infrastructure", "similarity": 0.5743099287860006 }, { "id": "adaptive-energy-mobility-civic-infrastructure-mesh", "similarity": 0.5709694989311874 }, { "id": "cultivated-bio-circulatory-infrastructure", "similarity": 0.5678897633170306 }, { "id": "cognitive-responsive-city-infrastructure", "similarity": 0.5581175910429446 }, { "id": "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "similarity": 0.5551396742365818 } ], "graph": "ranked", "id": "path-cohesion", "label": "Nearest-six reach · path cohesion", "metrics": { "depth_counts": { "1": 6, "2": 12, "3": 28 }, "direct_degree": 6, "effective_node_count": 45.288431263296864, "field_mass": 16.84247366666667, "field_mass_per_concept": 0.09153518297101451, "reach_count": 47, "visible_count": 46, "weighted_world_radius": 0.4495394580528393 }, "nodes": [ { "branch_id": "post-car-choreographed-flow-city", "depth": 0, "id": "post-car-choreographed-flow-city", "parent_id": "", "path_count": 1, "path_product": 1.0, "strength": 1.0 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 1, "id": "adaptive-energy-mobility-civic-infrastructure-mesh", "parent_id": "post-car-choreographed-flow-city", "path_count": 1, "path_product": 0.5709694989311874, "strength": 0.44193799999999994 }, { "branch_id": "adaptive-volumetric-play-mobility-infrastructure", "depth": 1, "id": "adaptive-volumetric-play-mobility-infrastructure", "parent_id": "post-car-choreographed-flow-city", "path_count": 1, "path_product": 0.5743099287860006, "strength": 0.44862 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 1, "id": "cognitive-responsive-city-infrastructure", "parent_id": "post-car-choreographed-flow-city", "path_count": 1, "path_product": 0.5581175910429446, "strength": 0.41623600000000005 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 1, "id": "cultivated-bio-circulatory-infrastructure", "parent_id": "post-car-choreographed-flow-city", "path_count": 1, "path_product": 0.5678897633170306, "strength": 0.43578000000000006 }, { "branch_id": "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "depth": 1, "id": "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "parent_id": "post-car-choreographed-flow-city", "path_count": 1, "path_product": 0.5551396742365818, "strength": 0.41028 }, { "branch_id": "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "depth": 1, "id": "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "parent_id": "post-car-choreographed-flow-city", "path_count": 1, "path_product": 0.5970118793502581, "strength": 0.494024 }, { "branch_id": "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "depth": 2, "id": "adaptive-perceptual-living-environments", "parent_id": "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "path_count": 1, "path_product": 0.34504749700178805, "strength": 0.38683 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 2, "id": "ai-externalized-thought-flow", "parent_id": "cognitive-responsive-city-infrastructure", "path_count": 1, "path_product": 0.36606986323114243, "strength": 0.39822 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 2, "id": "ambient-programmable-body-space-infrastructure", "parent_id": "cultivated-bio-circulatory-infrastructure", "path_count": 1, "path_product": 0.32758021992185615, "strength": 0.32177199999999995 }, { "branch_id": "adaptive-volumetric-play-mobility-infrastructure", "depth": 2, "id": "anchor-tension-mobility-networks", "parent_id": "adaptive-volumetric-play-mobility-infrastructure", "path_count": 1, "path_product": 0.38563344086532825, "strength": 0.42194700000000007 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 2, "id": "bio-digital-symbiotic-evolutionary-infrastructure", "parent_id": "cultivated-bio-circulatory-infrastructure", "path_count": 1, "path_product": 0.33927561249874927, "strength": 0.2726839999999999 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 2, "id": "endosymbiotic-ai-human-infrastructure", "parent_id": "cognitive-responsive-city-infrastructure", "path_count": 1, "path_product": 0.3594778726792331, "strength": 0.35462400000000005 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 2, "id": "externalized-seed-and-scaffold-creativity-infrastructure", "parent_id": "cognitive-responsive-city-infrastructure", "path_count": 1, "path_product": 0.3317719989920987, "strength": 0.25491700000000006 }, { "branch_id": "adaptive-volumetric-play-mobility-infrastructure", "depth": 2, "id": "hoverboard-zipline-movement-system", "parent_id": "adaptive-volumetric-play-mobility-infrastructure", "path_count": 1, "path_product": 0.36962893532343266, "strength": 0.441225 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 2, "id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "parent_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "path_count": 1, "path_product": 0.36599995998429496, "strength": 0.4489970000000001 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 2, "id": "persistent-ai-mediated-externalized-cognition-loop", "parent_id": "cognitive-responsive-city-infrastructure", "path_count": 1, "path_product": 0.3374850243102987, "strength": 0.25001700000000004 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 2, "id": "predictive-living-experience-mesh", "parent_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "path_count": 1, "path_product": 0.3739058132311076, "strength": 0.39715900000000004 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 2, "id": "voice-first-continuous-cognitive-offloading-layer", "parent_id": "cognitive-responsive-city-infrastructure", "path_count": 1, "path_product": 0.3287609094882653, "strength": 0.3160510000000001 }, { "branch_id": "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "depth": 3, "id": "adaptive-experiential-knowledge-landscapes", "parent_id": "adaptive-perceptual-living-environments", "path_count": 1, "path_product": 0.2235299087438982, "strength": 0.31509733333333334 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "adaptive-food-abundance-infrastructure", "parent_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "path_count": 1, "path_product": 0.20874222878282753, "strength": 0.3243966666666669 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "ai-externalized-ideation-loop", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.28579972130144776, "strength": 0.38730333333333355 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "ai-first-externalized-cognitive-operating-system", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.2767516828977261, "strength": 0.4130926666666668 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "ai-mediated-cognitive-intimacy-and-collective-co-processing", "parent_id": "endosymbiotic-ai-human-infrastructure", "path_count": 1, "path_product": 0.22754514450282304, "strength": 0.34618533333333334 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "ai-mediated-externalized-cognition-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.288607857076188, "strength": 0.46303666666666676 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "ai-mediated-living-knowledge-fabric", "parent_id": "predictive-living-experience-mesh", "path_count": 1, "path_product": 0.2141150783114732, "strength": 0.2542833333333333 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "ai-mediated-seed-idea-ecology", "parent_id": "externalized-seed-and-scaffold-creativity-infrastructure", "path_count": 1, "path_product": 0.22833033310244236, "strength": 0.32822466666666683 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "biological-geometry-and-emergent-structures", "parent_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "path_count": 1, "path_product": 0.21833293935845088, "strength": 0.3451213333333334 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "continuous-externalized-ai-cognition-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.27235904263448196, "strength": 0.4616786666666668 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "continuous-externalized-cognitive-flow-loop", "parent_id": "voice-first-continuous-cognitive-offloading-layer", "path_count": 1, "path_product": 0.2210630588623684, "strength": 0.4235986666666669 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "deviation-native-regenerative-resilience", "parent_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "path_count": 1, "path_product": 0.21499983255619035, "strength": 0.34408933333333347 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 3, "id": "embodied-generative-spatial-music-systems", "parent_id": "ambient-programmable-body-space-infrastructure", "path_count": 1, "path_product": 0.18598633533538084, "strength": 0.3275239999999999 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "externalized-cognition", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.27248135363197434, "strength": 0.34957400000000005 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "parent_id": "predictive-living-experience-mesh", "path_count": 1, "path_product": 0.21380644753628877, "strength": 0.2804686666666666 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "externalized-seed-stream-knowledge-graph-production-infrastructure", "parent_id": "externalized-seed-and-scaffold-creativity-infrastructure", "path_count": 1, "path_product": 0.2377772482705402, "strength": 0.3486526666666667 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 3, "id": "nature-guided-architecture-and-products", "parent_id": "bio-digital-symbiotic-evolutionary-infrastructure", "path_count": 1, "path_product": 0.19162903356251515, "strength": 0.286532 }, { "branch_id": "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "depth": 3, "id": "pareidolic-responsive-environments", "parent_id": "adaptive-perceptual-living-environments", "path_count": 1, "path_product": 0.22601769037989705, "strength": 0.3623293333333335 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 3, "id": "participatory-generative-art-infrastructure", "parent_id": "ambient-programmable-body-space-infrastructure", "path_count": 1, "path_product": 0.1835228137330047, "strength": 0.3622626666666666 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "possibility-space-cognitive-mesh", "parent_id": "predictive-living-experience-mesh", "path_count": 1, "path_product": 0.22864130782113276, "strength": 0.34653200000000006 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "recursive-ai-mediated-externalized-cognition-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.2582574657073216, "strength": 0.3787800000000001 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "recursive-ai-scaffolded-thought-and-workflow-construction", "parent_id": "externalized-seed-and-scaffold-creativity-infrastructure", "path_count": 1, "path_product": 0.2245569201155223, "strength": 0.31630800000000003 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "seed-and-expansion-cognitive-infrastructure", "parent_id": "externalized-seed-and-scaffold-creativity-infrastructure", "path_count": 1, "path_product": 0.22662047426188464, "strength": 0.2664426666666667 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "seed-expanded-human-ai-co-reasoning", "parent_id": "externalized-seed-and-scaffold-creativity-infrastructure", "path_count": 1, "path_product": 0.2361238286395149, "strength": 0.29156400000000005 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "seed-stream-externalized-ideation", "parent_id": "externalized-seed-and-scaffold-creativity-infrastructure", "path_count": 1, "path_product": 0.2466643362704526, "strength": 0.3247446666666667 }, { "branch_id": "adaptive-volumetric-play-mobility-infrastructure", "depth": 3, "id": "suspended-furniture-movable-structures-and-chaotic-construction", "parent_id": "anchor-tension-mobility-networks", "path_count": 1, "path_product": 0.24670622843084186, "strength": 0.4554153333333333 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "thought-externalization", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.2890943112897047, "strength": 0.38370533333333334 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "voice-ai-externalized-cognition-loop", "parent_id": "voice-first-continuous-cognitive-offloading-layer", "path_count": 1, "path_product": 0.25871254117253867, "strength": 0.44420933333333346 } ], "score": "path-cohesion", "status": "experimental", "visual_interpretation": "Broad, comparatively even halos because a candidate can agree with the route context despite weak direct origin affinity." }, { "caution": "One noisy edge can suppress an otherwise coherent route.", "claim": "Let the weakest edge cap every selected route.", "direct_edges": [ { "id": "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "similarity": 0.5970118793502581 }, { "id": "adaptive-volumetric-play-mobility-infrastructure", "similarity": 0.5743099287860006 }, { "id": "adaptive-energy-mobility-civic-infrastructure-mesh", "similarity": 0.5709694989311874 }, { "id": "cultivated-bio-circulatory-infrastructure", "similarity": 0.5678897633170306 }, { "id": "cognitive-responsive-city-infrastructure", "similarity": 0.5581175910429446 }, { "id": "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "similarity": 0.5551396742365818 } ], "graph": "ranked", "id": "ranked-bottleneck", "label": "Weakest-link path", "metrics": { "depth_counts": { "1": 6, "2": 12, "3": 28 }, "direct_degree": 6, "effective_node_count": 45.95914100132484, "field_mass": 19.77670312340443, "field_mass_per_concept": 0.10748208219241538, "reach_count": 47, "visible_count": 46, "weighted_world_radius": 0.4604869812734893 }, "nodes": [ { "branch_id": "post-car-choreographed-flow-city", "depth": 0, "id": "post-car-choreographed-flow-city", "parent_id": "", "path_count": 1, "path_product": 1.0, "strength": 1.0 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 1, "id": "adaptive-energy-mobility-civic-infrastructure-mesh", "parent_id": "post-car-choreographed-flow-city", "path_count": 1, "path_product": 0.5709694989311874, "strength": 0.4419389978623749 }, { "branch_id": "adaptive-volumetric-play-mobility-infrastructure", "depth": 1, "id": "adaptive-volumetric-play-mobility-infrastructure", "parent_id": "post-car-choreographed-flow-city", "path_count": 1, "path_product": 0.5743099287860006, "strength": 0.4486198575720013 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 1, "id": "cognitive-responsive-city-infrastructure", "parent_id": "post-car-choreographed-flow-city", "path_count": 1, "path_product": 0.5581175910429446, "strength": 0.41623518208588917 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 1, "id": "cultivated-bio-circulatory-infrastructure", "parent_id": "post-car-choreographed-flow-city", "path_count": 1, "path_product": 0.5678897633170306, "strength": 0.43577952663406117 }, { "branch_id": "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "depth": 1, "id": "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "parent_id": "post-car-choreographed-flow-city", "path_count": 1, "path_product": 0.5551396742365818, "strength": 0.4102793484731637 }, { "branch_id": "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "depth": 1, "id": "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "parent_id": "post-car-choreographed-flow-city", "path_count": 1, "path_product": 0.5970118793502581, "strength": 0.4940237587005163 }, { "branch_id": "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "depth": 2, "id": "adaptive-perceptual-living-environments", "parent_id": "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "path_count": 1, "path_product": 0.34504749700178805, "strength": 0.4102793484731637 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 2, "id": "ai-externalized-thought-flow", "parent_id": "cognitive-responsive-city-infrastructure", "path_count": 1, "path_product": 0.36606986323114243, "strength": 0.41623518208588917 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 2, "id": "ambient-programmable-body-space-infrastructure", "parent_id": "cultivated-bio-circulatory-infrastructure", "path_count": 1, "path_product": 0.32758021992185615, "strength": 0.43577952663406117 }, { "branch_id": "adaptive-volumetric-play-mobility-infrastructure", "depth": 2, "id": "anchor-tension-mobility-networks", "parent_id": "adaptive-volumetric-play-mobility-infrastructure", "path_count": 1, "path_product": 0.38563344086532825, "strength": 0.4486198575720013 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 2, "id": "bio-digital-symbiotic-evolutionary-infrastructure", "parent_id": "cultivated-bio-circulatory-infrastructure", "path_count": 1, "path_product": 0.33927561249874927, "strength": 0.43577952663406117 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 2, "id": "endosymbiotic-ai-human-infrastructure", "parent_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "path_count": 1, "path_product": 0.3514554055513408, "strength": 0.4419389978623749 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 2, "id": "externalized-seed-and-scaffold-creativity-infrastructure", "parent_id": "cognitive-responsive-city-infrastructure", "path_count": 1, "path_product": 0.3317719989920987, "strength": 0.41623518208588917 }, { "branch_id": "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "depth": 2, "id": "hoverboard-zipline-movement-system", "parent_id": "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "path_count": 1, "path_product": 0.35280747632641807, "strength": 0.4819110759081935 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 2, "id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "parent_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "path_count": 1, "path_product": 0.36599995998429496, "strength": 0.4419389978623749 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 2, "id": "persistent-ai-mediated-externalized-cognition-loop", "parent_id": "cognitive-responsive-city-infrastructure", "path_count": 1, "path_product": 0.3374850243102987, "strength": 0.41623518208588917 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 2, "id": "predictive-living-experience-mesh", "parent_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "path_count": 1, "path_product": 0.3739058132311076, "strength": 0.4419389978623749 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 2, "id": "voice-first-continuous-cognitive-offloading-layer", "parent_id": "cognitive-responsive-city-infrastructure", "path_count": 1, "path_product": 0.3287609094882653, "strength": 0.41623518208588917 }, { "branch_id": "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "depth": 3, "id": "adaptive-experiential-knowledge-landscapes", "parent_id": "adaptive-perceptual-living-environments", "path_count": 1, "path_product": 0.2235299087438982, "strength": 0.4102793484731637 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "adaptive-food-abundance-infrastructure", "parent_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "path_count": 1, "path_product": 0.20874222878282753, "strength": 0.4406680415581721 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "ai-externalized-ideation-loop", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.28579972130144776, "strength": 0.41623518208588917 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "ai-first-externalized-cognitive-operating-system", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.2767516828977261, "strength": 0.41623518208588917 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "ai-mediated-cognitive-intimacy-and-collective-co-processing", "parent_id": "endosymbiotic-ai-human-infrastructure", "path_count": 1, "path_product": 0.22246701986533166, "strength": 0.4419389978623749 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "ai-mediated-externalized-cognition-loop", "parent_id": "endosymbiotic-ai-human-infrastructure", "path_count": 1, "path_product": 0.22294074796247257, "strength": 0.4419389978623749 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "ai-mediated-living-knowledge-fabric", "parent_id": "predictive-living-experience-mesh", "path_count": 1, "path_product": 0.2141150783114732, "strength": 0.4419389978623749 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "ai-mediated-seed-idea-ecology", "parent_id": "externalized-seed-and-scaffold-creativity-infrastructure", "path_count": 1, "path_product": 0.22833033310244236, "strength": 0.41623518208588917 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "biological-geometry-and-emergent-structures", "parent_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "path_count": 1, "path_product": 0.21833293935845088, "strength": 0.4419389978623749 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "continuous-externalized-ai-cognition-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.27235904263448196, "strength": 0.41623518208588917 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "continuous-externalized-cognitive-flow-loop", "parent_id": "voice-first-continuous-cognitive-offloading-layer", "path_count": 1, "path_product": 0.2210630588623684, "strength": 0.41623518208588917 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "deviation-native-regenerative-resilience", "parent_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "path_count": 1, "path_product": 0.21499983255619035, "strength": 0.4419389978623749 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 3, "id": "embodied-generative-spatial-music-systems", "parent_id": "ambient-programmable-body-space-infrastructure", "path_count": 1, "path_product": 0.18598633533538084, "strength": 0.43551627372219026 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "externalized-cognition", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.27248135363197434, "strength": 0.41623518208588917 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "parent_id": "predictive-living-experience-mesh", "path_count": 1, "path_product": 0.21380644753628877, "strength": 0.4419389978623749 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "externalized-seed-stream-knowledge-graph-production-infrastructure", "parent_id": "externalized-seed-and-scaffold-creativity-infrastructure", "path_count": 1, "path_product": 0.2377772482705402, "strength": 0.41623518208588917 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 3, "id": "nature-guided-architecture-and-products", "parent_id": "bio-digital-symbiotic-evolutionary-infrastructure", "path_count": 1, "path_product": 0.19162903356251515, "strength": 0.4296363575983322 }, { "branch_id": "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "depth": 3, "id": "pareidolic-responsive-environments", "parent_id": "adaptive-perceptual-living-environments", "path_count": 1, "path_product": 0.22601769037989705, "strength": 0.4102793484731637 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 3, "id": "participatory-generative-art-infrastructure", "parent_id": "ambient-programmable-body-space-infrastructure", "path_count": 1, "path_product": 0.1835228137330047, "strength": 0.42047555115985835 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "possibility-space-cognitive-mesh", "parent_id": "predictive-living-experience-mesh", "path_count": 1, "path_product": 0.22864130782113276, "strength": 0.4419389978623749 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "recursive-ai-mediated-externalized-cognition-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.2582574657073216, "strength": 0.41623518208588917 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "recursive-ai-scaffolded-thought-and-workflow-construction", "parent_id": "externalized-seed-and-scaffold-creativity-infrastructure", "path_count": 1, "path_product": 0.2245569201155223, "strength": 0.41623518208588917 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "seed-and-expansion-cognitive-infrastructure", "parent_id": "externalized-seed-and-scaffold-creativity-infrastructure", "path_count": 1, "path_product": 0.22662047426188464, "strength": 0.41623518208588917 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "seed-expanded-human-ai-co-reasoning", "parent_id": "externalized-seed-and-scaffold-creativity-infrastructure", "path_count": 1, "path_product": 0.2361238286395149, "strength": 0.41623518208588917 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "seed-stream-externalized-ideation", "parent_id": "externalized-seed-and-scaffold-creativity-infrastructure", "path_count": 1, "path_product": 0.2466643362704526, "strength": 0.41623518208588917 }, { "branch_id": "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "depth": 3, "id": "suspended-furniture-movable-structures-and-chaotic-construction", "parent_id": "hoverboard-zipline-movement-system", "path_count": 1, "path_product": 0.20444821741556732, "strength": 0.45897893970031123 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "thought-externalization", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.2890943112897047, "strength": 0.41623518208588917 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "voice-ai-externalized-cognition-loop", "parent_id": "voice-first-continuous-cognitive-offloading-layer", "path_count": 1, "path_product": 0.25871254117253867, "strength": 0.41623518208588917 } ], "score": "path-bottleneck", "status": "candidate", "visual_interpretation": "Branch-level plateaus: one weak bridge dims every descendant beyond it." }, { "caution": "The probability-union display treats correlated paths as support.", "claim": "Accumulate support from every simple route within three hops.", "direct_edges": [ { "id": "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "similarity": 0.5970118793502581 }, { "id": "adaptive-volumetric-play-mobility-infrastructure", "similarity": 0.5743099287860006 }, { "id": "adaptive-energy-mobility-civic-infrastructure-mesh", "similarity": 0.5709694989311874 }, { "id": "cultivated-bio-circulatory-infrastructure", "similarity": 0.5678897633170306 }, { "id": "cognitive-responsive-city-infrastructure", "similarity": 0.5581175910429446 }, { "id": "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "similarity": 0.5551396742365818 } ], "graph": "ranked", "id": "ranked-multipath", "label": "Multipath support", "metrics": { "depth_counts": { "1": 6, "2": 12, "3": 28 }, "direct_degree": 6, "effective_node_count": 39.08739337540011, "field_mass": 24.296680980960346, "field_mass_per_concept": 0.1320471792443497, "reach_count": 47, "visible_count": 46, "weighted_world_radius": 0.38412797542459126 }, "nodes": [ { "branch_id": "post-car-choreographed-flow-city", "depth": 0, "id": "post-car-choreographed-flow-city", "parent_id": "", "path_count": 1, "path_product": 1.0, "strength": 1.0 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 1, "id": "adaptive-energy-mobility-civic-infrastructure-mesh", "parent_id": "post-car-choreographed-flow-city", "path_count": 20, "path_product": 0.5709694989311874, "strength": 0.9988187010633878 }, { "branch_id": "adaptive-volumetric-play-mobility-infrastructure", "depth": 1, "id": "adaptive-volumetric-play-mobility-infrastructure", "parent_id": "post-car-choreographed-flow-city", "path_count": 19, "path_product": 0.5743099287860006, "strength": 0.998642589027251 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 1, "id": "cognitive-responsive-city-infrastructure", "parent_id": "post-car-choreographed-flow-city", "path_count": 7, "path_product": 0.5581175910429446, "strength": 0.9114095858934691 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 1, "id": "cultivated-bio-circulatory-infrastructure", "parent_id": "post-car-choreographed-flow-city", "path_count": 16, "path_product": 0.5678897633170306, "strength": 0.9953178505303204 }, { "branch_id": "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "depth": 1, "id": "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "parent_id": "post-car-choreographed-flow-city", "path_count": 18, "path_product": 0.5551396742365818, "strength": 0.9983076874729138 }, { "branch_id": "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "depth": 1, "id": "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "parent_id": "post-car-choreographed-flow-city", "path_count": 17, "path_product": 0.5970118793502581, "strength": 0.9975938977839182 }, { "branch_id": "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "depth": 2, "id": "adaptive-perceptual-living-environments", "parent_id": "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "path_count": 8, "path_product": 0.34504749700178805, "strength": 0.8928363103025356 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 2, "id": "ai-externalized-thought-flow", "parent_id": "cognitive-responsive-city-infrastructure", "path_count": 6, "path_product": 0.36606986323114243, "strength": 0.8368576436853069 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 2, "id": "ambient-programmable-body-space-infrastructure", "parent_id": "cultivated-bio-circulatory-infrastructure", "path_count": 6, "path_product": 0.32758021992185615, "strength": 0.7896565566490433 }, { "branch_id": "adaptive-volumetric-play-mobility-infrastructure", "depth": 2, "id": "anchor-tension-mobility-networks", "parent_id": "adaptive-volumetric-play-mobility-infrastructure", "path_count": 7, "path_product": 0.38563344086532825, "strength": 0.8842972762276209 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 2, "id": "bio-digital-symbiotic-evolutionary-infrastructure", "parent_id": "cultivated-bio-circulatory-infrastructure", "path_count": 7, "path_product": 0.33927561249874927, "strength": 0.8522858640858535 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 2, "id": "endosymbiotic-ai-human-infrastructure", "parent_id": "cognitive-responsive-city-infrastructure", "path_count": 9, "path_product": 0.3594778726792331, "strength": 0.933219152879051 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 2, "id": "externalized-seed-and-scaffold-creativity-infrastructure", "parent_id": "cognitive-responsive-city-infrastructure", "path_count": 2, "path_product": 0.3317719989920987, "strength": 0.4627347707948708 }, { "branch_id": "adaptive-volumetric-play-mobility-infrastructure", "depth": 2, "id": "hoverboard-zipline-movement-system", "parent_id": "adaptive-volumetric-play-mobility-infrastructure", "path_count": 11, "path_product": 0.36962893532343266, "strength": 0.9618119727379729 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 2, "id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "parent_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "path_count": 7, "path_product": 0.36599995998429496, "strength": 0.8752331148819275 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 2, "id": "persistent-ai-mediated-externalized-cognition-loop", "parent_id": "cognitive-responsive-city-infrastructure", "path_count": 4, "path_product": 0.3374850243102987, "strength": 0.7019618708118199 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 2, "id": "predictive-living-experience-mesh", "parent_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "path_count": 11, "path_product": 0.3739058132311076, "strength": 0.9635005746116386 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 2, "id": "voice-first-continuous-cognitive-offloading-layer", "parent_id": "cognitive-responsive-city-infrastructure", "path_count": 2, "path_product": 0.3287609094882653, "strength": 0.45911986503202773 }, { "branch_id": "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "depth": 3, "id": "adaptive-experiential-knowledge-landscapes", "parent_id": "adaptive-perceptual-living-environments", "path_count": 1, "path_product": 0.2235299087438982, "strength": 0.22352990874389822 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "adaptive-food-abundance-infrastructure", "parent_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "path_count": 2, "path_product": 0.20874222878282753, "strength": 0.3705720901218036 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "ai-externalized-ideation-loop", "parent_id": "ai-externalized-thought-flow", "path_count": 2, "path_product": 0.28579972130144776, "strength": 0.47104483331397284 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "ai-first-externalized-cognitive-operating-system", "parent_id": "ai-externalized-thought-flow", "path_count": 2, "path_product": 0.2767516828977261, "strength": 0.4446904317826633 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "ai-mediated-cognitive-intimacy-and-collective-co-processing", "parent_id": "endosymbiotic-ai-human-infrastructure", "path_count": 2, "path_product": 0.22754514450282304, "strength": 0.39939087418578545 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "ai-mediated-externalized-cognition-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 4, "path_product": 0.288607857076188, "strength": 0.6957422812138663 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "ai-mediated-living-knowledge-fabric", "parent_id": "predictive-living-experience-mesh", "path_count": 2, "path_product": 0.2141150783114732, "strength": 0.36505506942243515 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "ai-mediated-seed-idea-ecology", "parent_id": "externalized-seed-and-scaffold-creativity-infrastructure", "path_count": 1, "path_product": 0.22833033310244236, "strength": 0.22833033310244233 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "biological-geometry-and-emergent-structures", "parent_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "path_count": 1, "path_product": 0.21833293935845088, "strength": 0.21833293935845088 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "continuous-externalized-ai-cognition-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 2, "path_product": 0.27235904263448196, "strength": 0.43265180280045623 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "continuous-externalized-cognitive-flow-loop", "parent_id": "voice-first-continuous-cognitive-offloading-layer", "path_count": 1, "path_product": 0.2210630588623684, "strength": 0.22106305886236843 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "deviation-native-regenerative-resilience", "parent_id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "path_count": 1, "path_product": 0.21499983255619035, "strength": 0.21499983255619037 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 3, "id": "embodied-generative-spatial-music-systems", "parent_id": "ambient-programmable-body-space-infrastructure", "path_count": 1, "path_product": 0.18598633533538084, "strength": 0.18598633533538078 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "externalized-cognition", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.27248135363197434, "strength": 0.27248135363197434 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "parent_id": "predictive-living-experience-mesh", "path_count": 2, "path_product": 0.21380644753628877, "strength": 0.3645880613424447 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "externalized-seed-stream-knowledge-graph-production-infrastructure", "parent_id": "externalized-seed-and-scaffold-creativity-infrastructure", "path_count": 1, "path_product": 0.2377772482705402, "strength": 0.23777724827054025 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 3, "id": "nature-guided-architecture-and-products", "parent_id": "bio-digital-symbiotic-evolutionary-infrastructure", "path_count": 1, "path_product": 0.19162903356251515, "strength": 0.19162903356251515 }, { "branch_id": "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "depth": 3, "id": "pareidolic-responsive-environments", "parent_id": "adaptive-perceptual-living-environments", "path_count": 1, "path_product": 0.22601769037989705, "strength": 0.22601769037989705 }, { "branch_id": "cultivated-bio-circulatory-infrastructure", "depth": 3, "id": "participatory-generative-art-infrastructure", "parent_id": "ambient-programmable-body-space-infrastructure", "path_count": 1, "path_product": 0.1835228137330047, "strength": 0.18352281373300472 }, { "branch_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "depth": 3, "id": "possibility-space-cognitive-mesh", "parent_id": "predictive-living-experience-mesh", "path_count": 2, "path_product": 0.22864130782113276, "strength": 0.3868422935256475 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "recursive-ai-mediated-externalized-cognition-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.2582574657073216, "strength": 0.25825746570732155 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "recursive-ai-scaffolded-thought-and-workflow-construction", "parent_id": "externalized-seed-and-scaffold-creativity-infrastructure", "path_count": 1, "path_product": 0.2245569201155223, "strength": 0.2245569201155223 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "seed-and-expansion-cognitive-infrastructure", "parent_id": "externalized-seed-and-scaffold-creativity-infrastructure", "path_count": 1, "path_product": 0.22662047426188464, "strength": 0.2266204742618847 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "seed-expanded-human-ai-co-reasoning", "parent_id": "externalized-seed-and-scaffold-creativity-infrastructure", "path_count": 1, "path_product": 0.2361238286395149, "strength": 0.23612382863951487 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "seed-stream-externalized-ideation", "parent_id": "externalized-seed-and-scaffold-creativity-infrastructure", "path_count": 1, "path_product": 0.2466643362704526, "strength": 0.2466643362704526 }, { "branch_id": "adaptive-volumetric-play-mobility-infrastructure", "depth": 3, "id": "suspended-furniture-movable-structures-and-chaotic-construction", "parent_id": "anchor-tension-mobility-networks", "path_count": 3, "path_product": 0.24670622843084186, "strength": 0.5290801217262869 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "thought-externalization", "parent_id": "ai-externalized-thought-flow", "path_count": 2, "path_product": 0.2890943112897047, "strength": 0.46881172335015975 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "voice-ai-externalized-cognition-loop", "parent_id": "voice-first-continuous-cognitive-offloading-layer", "path_count": 1, "path_product": 0.25871254117253867, "strength": 0.2587125411725386 } ], "score": "multipath-support", "status": "candidate", "visual_interpretation": "Bright convergence hotspots where several routes support the same target; redundant hubs can quickly saturate." } ], "code": "C150", "hue": 277, "id": "post-car-choreographed-flow-city", "observation": "Its strongest relation is 0.597, below the fixed threshold, so the absolute lens draws none.", "profile_order": [ "post-car-choreographed-flow-city", "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "adaptive-volumetric-play-mobility-infrastructure", "adaptive-energy-mobility-civic-infrastructure-mesh", "cultivated-bio-circulatory-infrastructure", "cognitive-responsive-city-infrastructure", "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "fluid-access-habitat-and-logistics-grid", "embodied-generative-spatial-music-systems", "wheelchair-first-architecture-and-infrastructure", "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "participatory-generative-art-infrastructure", "hoverboard-zipline-movement-system", "real-time-logistics-for-personal-items-tools-and-materials", "suspended-furniture-movable-structures-and-chaotic-construction", "canine-centered-interspecies-urban-citizenship", "movement-coupled-cognitive-work-environments", "continuous-generative-production-distribution-stack-with-ai-co-execution-and-latent-creative-navigation", "adaptive-perceptual-living-environments", "pareidolia-vantage-points-in-cities", "biological-geometry-and-emergent-structures", "anchor-tension-mobility-networks", "flow-routed-energy-work-architecture", "cloud-movement-and-flexible-aerial-artwork", "pendulum-warehouse-and-vector-latch-logistics", "forest-path-reservation", "continuous-externalized-cognitive-flow-loop", "ambient-programmable-body-space-infrastructure", "functionality-first-living-code-ecosystem", "parallel-co-exploratory-creative-system", "ai-externalized-thought-flow", "predictive-living-experience-mesh", "deviation-native-regenerative-resilience", "decoupled-vision-market-for-ai-mediated-future-building", "stochastic-constraint-field-generative-systems-across-physical-tiles-diffusion-media-and-lottery-allocation", "embodied-intent-collapse-input-systems", "autonomous-declarative-work-orchestration-loop", "implementation-friction-collapse-orchestration-loop", "ai-gardened-pattern-field-agency", "voice-first-continuous-cognitive-offloading-layer", "distributed-optical-architecture-of-material-light-systems", "pareidolic-responsive-environments", "semantic-graph-coordination-for-human-ai-contribution-systems", "curiosity-driven-threshold-cartography-narrative-engine", "externalized-divergence-convergence-cognitive-routing-ecology", "daos-for-complex-service-loops", "intent-driven-ambient-spatial-execution-and-toolspace-layer", "endosymbiotic-ai-human-infrastructure", "externalized-fractal-cognitive-cartography", "adaptive-food-abundance-infrastructure", "persistent-ai-mediated-conversational-routing-fabric", "latent-multimodal-pattern-space-communication", "kinetic-habitat-cognition", "persistent-friction-as-system-rewriting", "hybrid-games-art-games-and-strategy-abstraction", "inhabitable-embedding-cartography", "possibility-space-cognitive-mesh", "perceptual-computational-environmental-stack-for-augmented-ecological-reality-systems", "ai-mediated-adaptive-creation-workshop-presentation-and-personal-manufacturing-loops", "ai-mediated-cognitive-cartography", "conversational-code-fabric", "ai-mediated-autopilot-labor-cognition", "adaptive-ai-mediated-visual-language", "working-with-chaos-through-stable-attractor-regions", "nature-guided-architecture-and-products", "cost-compressed-externalized-cognition-life-architecture", "ai-orchestrated-personal-development-operating-system", "embodied-maintenance-as-wellness-infrastructure", "ai-orchestrated-graph-and-quest-execution-system", "integrated-trust-and-feedback-dealership-operating-system", "intent-driven-ai-orchestration-system", "velcro-like-reconfigurable-cord-or-mesh-physical-space", "theme-parks-as-bounded-civilizational-experiments", "intent-driven-development-cockpit-with-semantic-control-surfaces", "personalized-thought-materialization-room", "position-aware-audio-installation", "centralized-local-food-systems", "contribution-weighted-open-commons-allocation-and-attribution-infrastructure", "identity-decoupled-generative-idea-ecosystem", "intent-driven-adaptive-communication-and-research-mediation-infrastructure", "probability-based-faster-than-light-communication", "adaptive-lifecycle-stewardship-economy", "bio-digital-symbiotic-evolutionary-infrastructure", "conceptographic-externalized-cognition-infrastructure", "functionality-driven-development-runtime-with-ai-managed-implementations", "adaptive-sonic-cognitive-encoding-and-navigable-music-ai-knowledge-systems", "ambiguity-controlled-ai-co-creation", "ecosystem-encoded-innovation-production", "compression-through-chaotic-structures", "graph-embedded-cellular-event-software", "uncertainty-preserving-playable-game-systems", "reference-anchored-embedding-terrains-and-embodied-navigation-interfaces", "externalized-seed-and-scaffold-creativity-infrastructure", "pendulum-cable-security", "pareidolic-card-and-grid-play-interfaces", "ai-native-software-orchestration", "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "sketch-and-handwriting-native-intent-interface-for-generative-co-creation", "conceptography", "goal-linked-nfts-and-high-value-goods", "modular-ai-mediated-living-codex", "ai-mediated-spore-scale-idea-propagation", "ai-mediated-continuous-thought-capture-archive", "ai-mediated-seed-idea-ecology", "conversational-graph-orchestrated-ai-work-layer", "continuous-externalized-ai-cognition-loop", "ai-operable-construction-knowledge-infrastructure", "ai-mediated-cognitive-intimacy-and-collective-co-processing", "externalized-seed-stream-knowledge-graph-production-infrastructure", "attention-conditioned-generative-media-and-knowledge-systems", "arrangement-as-substance-the-cord-emergence-demonstration", "persistent-ai-mediated-externalized-cognition-loop", "voice-ai-externalized-cognition-loop", "intent-to-architecture-human-ai-development-split", "personal-use-tinkering-software-as-exploratory-craft", "navigable-embedding-visual-cognition-systems", "adaptive-modular-narrative-infrastructure", "ai-first-externalized-cognitive-operating-system", "intent-to-behavior-compilation-layer-for-software-systems", "recursive-ai-scaffolded-thought-and-workflow-construction", "ai-mediated-living-knowledge-fabric", "human-ai-communication-optimized-across-cycles", "embedding-native-geometric-knowledge-navigation-and-semantic-field-manipulation", "intent-compiled-generative-infrastructure", "parallel-externalized-conversational-cognition", "self-directed-exploration-and-role-separation", "embedding-space-cognitive-navigation", "self-directed-cognitive-scaffolding-with-hibernating-execution-layers", "embedding-native-visual-and-adaptive-language-artifacts", "synthetic-company-operating-benchmark-commons", "persistent-conversational-cognitive-infrastructure", "living-spatial-knowledge-landscape-interfaces", "adaptive-experiential-knowledge-landscapes", "externalized-recursive-embedding-graph-knowledge-field", "pareidolia-cinema-begins", "sonic-spatial-augmentation-systems", "graph-native-ai-software-runtime", "pattern-based-animal-survival-navigation-indicators", "continuous-externalized-thought-infrastructure", "lifelong-students-and-surprise-optimization", "lacunar-code", "recursive-ai-mediated-externalized-cognition-loop", "ambient-relational-ai-and-artifact-scaffolds", "evolutionary-diagram-to-code-feedback-loop", "seed-stream-externalized-ideation", "conversational-co-adaptive-training-infrastructure", "inverted-communication-model", "conversational-graph-vector-knowledge-fabric", "game-modding-as-prototyping", "cognitive-offloading", "information-gain-agriculture", "seed-expanded-human-ai-co-reasoning", "three-dimensional-go", "graph-native-relational-computation-substrate", "continuous-externalized-thought-language-co-processing-loop", "ai-mediated-externalized-cognition-loop", "semantic-reflex-network-for-code-systems", "recursive-residual-information-chemistry", "thought-externalization", "seed-and-expansion-cognitive-infrastructure", "fractal-physical-connector-and-cable-power-interface", "ai-externalized-ideation-loop", "intent-structured-attention-and-experience-infrastructure", "anthropomorphic-forensic-debugging-loop", "schema-contracted-synthetic-execution-graph", "ai-mediated-understanding-transfer-network", "graph-native-schema-bound-execution-fabric", "relational-provenance-token-economies", "split-brain-ai-system", "conversation-compounded-ai-textbook-infrastructure", "externalized-scratchpad-architecture-for-ai-native-development", "adaptive-embedding-text-knowledge-terrain", "seed-reconstructive-information-chemistry", "externalized-cognition", "debugging-through-observable-state-and-hidden-state-drift", "semantic-commit-memory", "mist-art-installation", "externalized-predictive-conversational-cognition", "information-chemistry", "externalized-navigable-learning-systems", "externalized-recursive-thought-archive", "epistemic-graph-development-with-signal-oriented-validation", "information-fingerprinting", "logarithmic-learning" ], "role": "Threshold boundary isolate", "title": "Post-Car Choreographed Flow City" }, { "arms": [ { "caution": "The regular footprint is partly guaranteed by fixed out-degree.", "claim": "bounded navigational identity; membership does not claim that the sixth neighbor is absolutely close", "direct_edges": [ { "id": "thought-externalization", "similarity": 0.7897244223766268 }, { "id": "ai-mediated-externalized-cognition-loop", "similarity": 0.7840559354675138 }, { "id": "ai-externalized-ideation-loop", "similarity": 0.7807245283149387 }, { "id": "persistent-ai-mediated-externalized-cognition-loop", "similarity": 0.7672435298421607 }, { "id": "ai-first-externalized-cognitive-operating-system", "similarity": 0.7560078299124575 }, { "id": "externalized-cognition", "similarity": 0.7443424903292988 } ], "graph": "ranked", "id": "ranked-path", "label": "Nearest six · path product", "metrics": { "depth_counts": { "1": 6, "2": 4, "3": 8 }, "direct_degree": 6, "effective_node_count": 17.242427930623293, "field_mass": 10.243346608229825, "field_mass_per_concept": 0.055670362001249044, "reach_count": 19, "visible_count": 18, "weighted_world_radius": 0.2305456611330273 }, "nodes": [ { "branch_id": "ai-externalized-thought-flow", "depth": 0, "id": "ai-externalized-thought-flow", "parent_id": "", "path_count": 1, "path_product": 1.0, "strength": 1.0 }, { "branch_id": "ai-externalized-ideation-loop", "depth": 1, "id": "ai-externalized-ideation-loop", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.7807245283149387, "strength": 0.7807245283149387 }, { "branch_id": "ai-first-externalized-cognitive-operating-system", "depth": 1, "id": "ai-first-externalized-cognitive-operating-system", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.7560078299124575, "strength": 0.7560078299124575 }, { "branch_id": "ai-mediated-externalized-cognition-loop", "depth": 1, "id": "ai-mediated-externalized-cognition-loop", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.7840559354675138, "strength": 0.7840559354675138 }, { "branch_id": "externalized-cognition", "depth": 1, "id": "externalized-cognition", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.7443424903292988, "strength": 0.7443424903292988 }, { "branch_id": "persistent-ai-mediated-externalized-cognition-loop", "depth": 1, "id": "persistent-ai-mediated-externalized-cognition-loop", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.7672435298421607, "strength": 0.7672435298421607 }, { "branch_id": "thought-externalization", "depth": 1, "id": "thought-externalization", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.7897244223766268, "strength": 0.7897244223766268 }, { "branch_id": "ai-first-externalized-cognitive-operating-system", "depth": 2, "id": "ai-orchestrated-personal-development-operating-system", "parent_id": "ai-first-externalized-cognitive-operating-system", "path_count": 1, "path_product": 0.5529029154731218, "strength": 0.5529029154731218 }, { "branch_id": "thought-externalization", "depth": 2, "id": "cognitive-offloading", "parent_id": "thought-externalization", "path_count": 1, "path_product": 0.5888988131895518, "strength": 0.5888988131895518 }, { "branch_id": "persistent-ai-mediated-externalized-cognition-loop", "depth": 2, "id": "continuous-externalized-ai-cognition-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.6191851436441196, "strength": 0.6191851436441196 }, { "branch_id": "ai-mediated-externalized-cognition-loop", "depth": 2, "id": "recursive-ai-mediated-externalized-cognition-loop", "parent_id": "ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.6394248738269254, "strength": 0.6394248738269254 }, { "branch_id": "ai-first-externalized-cognitive-operating-system", "depth": 3, "id": "ai-gardened-pattern-field-agency", "parent_id": "ai-orchestrated-personal-development-operating-system", "path_count": 1, "path_product": 0.3594383640808058, "strength": 0.3594383640808058 }, { "branch_id": "ai-first-externalized-cognitive-operating-system", "depth": 3, "id": "ai-native-software-orchestration", "parent_id": "ai-orchestrated-personal-development-operating-system", "path_count": 1, "path_product": 0.36870864798945213, "strength": 0.36870864798945213 }, { "branch_id": "ai-first-externalized-cognitive-operating-system", "depth": 3, "id": "ai-operable-construction-knowledge-infrastructure", "parent_id": "ai-orchestrated-personal-development-operating-system", "path_count": 1, "path_product": 0.3832268414715128, "strength": 0.3832268414715128 }, { "branch_id": "ai-first-externalized-cognitive-operating-system", "depth": 3, "id": "ai-orchestrated-graph-and-quest-execution-system", "parent_id": "ai-orchestrated-personal-development-operating-system", "path_count": 1, "path_product": 0.3690810922920612, "strength": 0.3690810922920612 }, { "branch_id": "persistent-ai-mediated-externalized-cognition-loop", "depth": 3, "id": "continuous-externalized-cognitive-flow-loop", "parent_id": "continuous-externalized-ai-cognition-loop", "path_count": 1, "path_product": 0.4872807366520578, "strength": 0.4872807366520578 }, { "branch_id": "thought-externalization", "depth": 3, "id": "cost-compressed-externalized-cognition-life-architecture", "parent_id": "cognitive-offloading", "path_count": 1, "path_product": 0.415746709382697, "strength": 0.415746709382697 }, { "branch_id": "ai-first-externalized-cognitive-operating-system", "depth": 3, "id": "intent-driven-ai-orchestration-system", "parent_id": "ai-orchestrated-personal-development-operating-system", "path_count": 1, "path_product": 0.3597205370647423, "strength": 0.3597205370647423 }, { "branch_id": "persistent-ai-mediated-externalized-cognition-loop", "depth": 3, "id": "voice-ai-externalized-cognition-loop", "parent_id": "continuous-externalized-ai-cognition-loop", "path_count": 1, "path_product": 0.47763319691978023, "strength": 0.47763319691978023 } ], "score": "path-product", "status": "baseline", "visual_interpretation": "A medium-sized, evenly branched footprint whose fading is mostly a record of hop count." }, { "caution": "One cutoff can turn a continuous boundary into a hard cliff.", "claim": "absolute connectivity; concepts with no qualifying edge remain visibly isolated and dense regions may have more than six edges", "direct_edges": [ { "id": "thought-externalization", "similarity": 0.789724 }, { "id": "ai-mediated-externalized-cognition-loop", "similarity": 0.784056 }, { "id": "ai-externalized-ideation-loop", "similarity": 0.780725 }, { "id": "persistent-ai-mediated-externalized-cognition-loop", "similarity": 0.767244 }, { "id": "ai-first-externalized-cognitive-operating-system", "similarity": 0.756008 }, { "id": "externalized-cognition", "similarity": 0.744342 }, { "id": "continuous-externalized-ai-cognition-loop", "similarity": 0.736692 }, { "id": "externalized-divergence-convergence-cognitive-routing-ecology", "similarity": 0.732028 }, { "id": "voice-ai-externalized-cognition-loop", "similarity": 0.731053 }, { "id": "recursive-ai-mediated-externalized-cognition-loop", "similarity": 0.729908 }, { "id": "ai-mediated-cognitive-intimacy-and-collective-co-processing", "similarity": 0.722164 }, { "id": "parallel-externalized-conversational-cognition", "similarity": 0.706974 }, { "id": "continuous-externalized-cognitive-flow-loop", "similarity": 0.70629 }, { "id": "ai-mediated-continuous-thought-capture-archive", "similarity": 0.703729 }, { "id": "voice-first-continuous-cognitive-offloading-layer", "similarity": 0.695621 }, { "id": "continuous-externalized-thought-infrastructure", "similarity": 0.691409 }, { "id": "endosymbiotic-ai-human-infrastructure", "similarity": 0.680972 }, { "id": "cognitive-offloading", "similarity": 0.675978 }, { "id": "continuous-generative-production-distribution-stack-with-ai-co-execution-and-latent-creative-navigation", "similarity": 0.670644 }, { "id": "externalized-seed-and-scaffold-creativity-infrastructure", "similarity": 0.658868 }, { "id": "intent-to-architecture-human-ai-development-split", "similarity": 0.656455 }, { "id": "cognitive-responsive-city-infrastructure", "similarity": 0.655901 }, { "id": "adaptive-ai-mediated-visual-language", "similarity": 0.654896 }, { "id": "recursive-ai-scaffolded-thought-and-workflow-construction", "similarity": 0.651475 }, { "id": "ai-orchestrated-personal-development-operating-system", "similarity": 0.647445 }, { "id": "seed-expanded-human-ai-co-reasoning", "similarity": 0.645893 }, { "id": "ai-mediated-adaptive-creation-workshop-presentation-and-personal-manufacturing-loops", "similarity": 0.642962 }, { "id": "ai-mediated-cognitive-cartography", "similarity": 0.642612 }, { "id": "ai-mediated-seed-idea-ecology", "similarity": 0.637823 }, { "id": "externalized-predictive-conversational-cognition", "similarity": 0.63626 }, { "id": "seed-stream-externalized-ideation", "similarity": 0.636203 }, { "id": "ai-mediated-living-knowledge-fabric", "similarity": 0.631173 }, { "id": "personalized-thought-materialization-room", "similarity": 0.631164 }, { "id": "self-directed-cognitive-scaffolding-with-hibernating-execution-layers", "similarity": 0.63073 }, { "id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "similarity": 0.628751 }, { "id": "cost-compressed-externalized-cognition-life-architecture", "similarity": 0.627003 }, { "id": "ambiguity-controlled-ai-co-creation", "similarity": 0.624377 }, { "id": "conceptographic-externalized-cognition-infrastructure", "similarity": 0.624177 }, { "id": "ai-mediated-spore-scale-idea-propagation", "similarity": 0.622806 }, { "id": "persistent-ai-mediated-conversational-routing-fabric", "similarity": 0.620424 }, { "id": "conversation-compounded-ai-textbook-infrastructure", "similarity": 0.618244 }, { "id": "externalized-recursive-thought-archive", "similarity": 0.610718 }, { "id": "externalized-scratchpad-architecture-for-ai-native-development", "similarity": 0.609652 }, { "id": "continuous-externalized-thought-language-co-processing-loop", "similarity": 0.605737 }, { "id": "externalized-seed-stream-knowledge-graph-production-infrastructure", "similarity": 0.603116 }, { "id": "human-ai-communication-optimized-across-cycles", "similarity": 0.602156 } ], "graph": "absolute-threshold", "id": "absolute-threshold", "label": "Cosine ≥ 0.60 · path product", "metrics": { "depth_counts": { "1": 46, "2": 51, "3": 16 }, "direct_degree": 46, "effective_node_count": 107.80018273251301, "field_mass": 56.84283923416016, "field_mass_per_concept": 0.3089284740986965, "reach_count": 114, "visible_count": 113, "weighted_world_radius": 0.31631206367184983 }, "nodes": [ { "branch_id": "ai-externalized-thought-flow", "depth": 0, "id": "ai-externalized-thought-flow", "parent_id": "", "path_count": 1, "path_product": 1.0, "strength": 1.0 }, { "branch_id": "adaptive-ai-mediated-visual-language", "depth": 1, "id": "adaptive-ai-mediated-visual-language", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.654896, "strength": 0.654896 }, { "branch_id": "ai-externalized-ideation-loop", "depth": 1, "id": "ai-externalized-ideation-loop", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.780725, "strength": 0.780725 }, { "branch_id": "ai-first-externalized-cognitive-operating-system", "depth": 1, "id": "ai-first-externalized-cognitive-operating-system", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.756008, "strength": 0.756008 }, { "branch_id": "ai-mediated-adaptive-creation-workshop-presentation-and-personal-manufacturing-loops", "depth": 1, "id": "ai-mediated-adaptive-creation-workshop-presentation-and-personal-manufacturing-loops", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.642962, "strength": 0.642962 }, { "branch_id": "ai-mediated-cognitive-cartography", "depth": 1, "id": "ai-mediated-cognitive-cartography", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.642612, "strength": 0.642612 }, { "branch_id": "ai-mediated-cognitive-intimacy-and-collective-co-processing", "depth": 1, "id": "ai-mediated-cognitive-intimacy-and-collective-co-processing", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.722164, "strength": 0.722164 }, { "branch_id": "ai-mediated-continuous-thought-capture-archive", "depth": 1, "id": "ai-mediated-continuous-thought-capture-archive", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.703729, "strength": 0.703729 }, { "branch_id": "ai-mediated-externalized-cognition-loop", "depth": 1, "id": "ai-mediated-externalized-cognition-loop", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.784056, "strength": 0.784056 }, { "branch_id": "ai-mediated-living-knowledge-fabric", "depth": 1, "id": "ai-mediated-living-knowledge-fabric", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.631173, "strength": 0.631173 }, { "branch_id": "ai-mediated-seed-idea-ecology", "depth": 1, "id": "ai-mediated-seed-idea-ecology", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.637823, "strength": 0.637823 }, { "branch_id": "ai-mediated-spore-scale-idea-propagation", "depth": 1, "id": "ai-mediated-spore-scale-idea-propagation", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.622806, "strength": 0.622806 }, { "branch_id": "ai-orchestrated-personal-development-operating-system", "depth": 1, "id": "ai-orchestrated-personal-development-operating-system", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.647445, "strength": 0.647445 }, { "branch_id": "ambiguity-controlled-ai-co-creation", "depth": 1, "id": "ambiguity-controlled-ai-co-creation", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.624377, "strength": 0.624377 }, { "branch_id": "cognitive-offloading", "depth": 1, "id": "cognitive-offloading", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.675978, "strength": 0.675978 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 1, "id": "cognitive-responsive-city-infrastructure", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.655901, "strength": 0.655901 }, { "branch_id": "conceptographic-externalized-cognition-infrastructure", "depth": 1, "id": "conceptographic-externalized-cognition-infrastructure", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.624177, "strength": 0.624177 }, { "branch_id": "continuous-externalized-ai-cognition-loop", "depth": 1, "id": "continuous-externalized-ai-cognition-loop", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.736692, "strength": 0.736692 }, { "branch_id": "continuous-externalized-cognitive-flow-loop", "depth": 1, "id": "continuous-externalized-cognitive-flow-loop", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.70629, "strength": 0.70629 }, { "branch_id": "continuous-externalized-thought-infrastructure", "depth": 1, "id": "continuous-externalized-thought-infrastructure", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.691409, "strength": 0.691409 }, { "branch_id": "continuous-externalized-thought-language-co-processing-loop", "depth": 1, "id": "continuous-externalized-thought-language-co-processing-loop", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.605737, "strength": 0.605737 }, { "branch_id": "continuous-generative-production-distribution-stack-with-ai-co-execution-and-latent-creative-navigation", "depth": 1, "id": "continuous-generative-production-distribution-stack-with-ai-co-execution-and-latent-creative-navigation", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.670644, "strength": 0.670644 }, { "branch_id": "conversation-compounded-ai-textbook-infrastructure", "depth": 1, "id": "conversation-compounded-ai-textbook-infrastructure", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.618244, "strength": 0.618244 }, { "branch_id": "cost-compressed-externalized-cognition-life-architecture", "depth": 1, "id": "cost-compressed-externalized-cognition-life-architecture", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.627003, "strength": 0.627003 }, { "branch_id": "endosymbiotic-ai-human-infrastructure", "depth": 1, "id": "endosymbiotic-ai-human-infrastructure", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.680972, "strength": 0.680972 }, { "branch_id": "externalized-cognition", "depth": 1, "id": "externalized-cognition", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.744342, "strength": 0.744342 }, { "branch_id": "externalized-divergence-convergence-cognitive-routing-ecology", "depth": 1, "id": "externalized-divergence-convergence-cognitive-routing-ecology", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.732028, "strength": 0.732028 }, { "branch_id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "depth": 1, "id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.628751, "strength": 0.628751 }, { "branch_id": "externalized-predictive-conversational-cognition", "depth": 1, "id": "externalized-predictive-conversational-cognition", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.63626, "strength": 0.63626 }, { "branch_id": "externalized-recursive-thought-archive", "depth": 1, "id": "externalized-recursive-thought-archive", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.610718, "strength": 0.610718 }, { "branch_id": "externalized-scratchpad-architecture-for-ai-native-development", "depth": 1, "id": "externalized-scratchpad-architecture-for-ai-native-development", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.609652, "strength": 0.609652 }, { "branch_id": "externalized-seed-and-scaffold-creativity-infrastructure", "depth": 1, "id": "externalized-seed-and-scaffold-creativity-infrastructure", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.658868, "strength": 0.658868 }, { "branch_id": "externalized-seed-stream-knowledge-graph-production-infrastructure", "depth": 1, "id": "externalized-seed-stream-knowledge-graph-production-infrastructure", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.603116, "strength": 0.603116 }, { "branch_id": "human-ai-communication-optimized-across-cycles", "depth": 1, "id": "human-ai-communication-optimized-across-cycles", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.602156, "strength": 0.602156 }, { "branch_id": "intent-to-architecture-human-ai-development-split", "depth": 1, "id": "intent-to-architecture-human-ai-development-split", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.656455, "strength": 0.656455 }, { "branch_id": "parallel-externalized-conversational-cognition", "depth": 1, "id": "parallel-externalized-conversational-cognition", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.706974, "strength": 0.706974 }, { "branch_id": "persistent-ai-mediated-conversational-routing-fabric", "depth": 1, "id": "persistent-ai-mediated-conversational-routing-fabric", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.620424, "strength": 0.620424 }, { "branch_id": "persistent-ai-mediated-externalized-cognition-loop", "depth": 1, "id": "persistent-ai-mediated-externalized-cognition-loop", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.767244, "strength": 0.767244 }, { "branch_id": "personalized-thought-materialization-room", "depth": 1, "id": "personalized-thought-materialization-room", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.631164, "strength": 0.631164 }, { "branch_id": "recursive-ai-mediated-externalized-cognition-loop", "depth": 1, "id": "recursive-ai-mediated-externalized-cognition-loop", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.729908, "strength": 0.729908 }, { "branch_id": "recursive-ai-scaffolded-thought-and-workflow-construction", "depth": 1, "id": "recursive-ai-scaffolded-thought-and-workflow-construction", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.651475, "strength": 0.651475 }, { "branch_id": "seed-expanded-human-ai-co-reasoning", "depth": 1, "id": "seed-expanded-human-ai-co-reasoning", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.645893, "strength": 0.645893 }, { "branch_id": "seed-stream-externalized-ideation", "depth": 1, "id": "seed-stream-externalized-ideation", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.636203, "strength": 0.636203 }, { "branch_id": "self-directed-cognitive-scaffolding-with-hibernating-execution-layers", "depth": 1, "id": "self-directed-cognitive-scaffolding-with-hibernating-execution-layers", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.63073, "strength": 0.63073 }, { "branch_id": "thought-externalization", "depth": 1, "id": "thought-externalization", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.789724, "strength": 0.789724 }, { "branch_id": "voice-ai-externalized-cognition-loop", "depth": 1, "id": "voice-ai-externalized-cognition-loop", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.731053, "strength": 0.731053 }, { "branch_id": "voice-first-continuous-cognitive-offloading-layer", "depth": 1, "id": "voice-first-continuous-cognitive-offloading-layer", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.695621, "strength": 0.695621 }, { "branch_id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "depth": 2, "id": "adaptive-embedding-text-knowledge-terrain", "parent_id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "path_count": 1, "path_product": 0.39654068068, "strength": 0.39654068068 }, { "branch_id": "endosymbiotic-ai-human-infrastructure", "depth": 2, "id": "adaptive-energy-mobility-civic-infrastructure-mesh", "parent_id": "endosymbiotic-ai-human-infrastructure", "path_count": 1, "path_product": 0.419166185852, "strength": 0.419166185852 }, { "branch_id": "endosymbiotic-ai-human-infrastructure", "depth": 2, "id": "adaptive-food-abundance-infrastructure", "parent_id": "endosymbiotic-ai-human-infrastructure", "path_count": 1, "path_product": 0.41724039703599997, "strength": 0.41724039703599997 }, { "branch_id": "adaptive-ai-mediated-visual-language", "depth": 2, "id": "adaptive-sonic-cognitive-encoding-and-navigable-music-ai-knowledge-systems", "parent_id": "adaptive-ai-mediated-visual-language", "path_count": 1, "path_product": 0.42013543088000005, "strength": 0.42013543088000005 }, { "branch_id": "ai-orchestrated-personal-development-operating-system", "depth": 2, "id": "ai-gardened-pattern-field-agency", "parent_id": "ai-orchestrated-personal-development-operating-system", "path_count": 1, "path_product": 0.42089946238500003, "strength": 0.42089946238500003 }, { "branch_id": "ai-mediated-externalized-cognition-loop", "depth": 2, "id": "ai-mediated-autopilot-labor-cognition", "parent_id": "ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.49307321699999995, "strength": 0.49307321699999995 }, { "branch_id": "human-ai-communication-optimized-across-cycles", "depth": 2, "id": "ai-mediated-understanding-transfer-network", "parent_id": "human-ai-communication-optimized-across-cycles", "path_count": 1, "path_product": 0.36593562060400003, "strength": 0.36593562060400003 }, { "branch_id": "ai-orchestrated-personal-development-operating-system", "depth": 2, "id": "ai-native-software-orchestration", "parent_id": "ai-orchestrated-personal-development-operating-system", "path_count": 1, "path_product": 0.4317551727, "strength": 0.4317551727 }, { "branch_id": "ai-first-externalized-cognitive-operating-system", "depth": 2, "id": "ai-operable-construction-knowledge-infrastructure", "parent_id": "ai-first-externalized-cognitive-operating-system", "path_count": 1, "path_product": 0.460516981144, "strength": 0.460516981144 }, { "branch_id": "ai-orchestrated-personal-development-operating-system", "depth": 2, "id": "ai-orchestrated-graph-and-quest-execution-system", "parent_id": "ai-orchestrated-personal-development-operating-system", "path_count": 1, "path_product": 0.4321909031850001, "strength": 0.4321909031850001 }, { "branch_id": "ai-mediated-continuous-thought-capture-archive", "depth": 2, "id": "ambient-relational-ai-and-artifact-scaffolds", "parent_id": "ai-mediated-continuous-thought-capture-archive", "path_count": 1, "path_product": 0.4408158456, "strength": 0.4408158456 }, { "branch_id": "continuous-generative-production-distribution-stack-with-ai-co-execution-and-latent-creative-navigation", "depth": 2, "id": "attention-conditioned-generative-media-and-knowledge-systems", "parent_id": "continuous-generative-production-distribution-stack-with-ai-co-execution-and-latent-creative-navigation", "path_count": 1, "path_product": 0.40790311754400005, "strength": 0.40790311754400005 }, { "branch_id": "endosymbiotic-ai-human-infrastructure", "depth": 2, "id": "bio-digital-symbiotic-evolutionary-infrastructure", "parent_id": "endosymbiotic-ai-human-infrastructure", "path_count": 1, "path_product": 0.459614560708, "strength": 0.459614560708 }, { "branch_id": "conceptographic-externalized-cognition-infrastructure", "depth": 2, "id": "conceptography", "parent_id": "conceptographic-externalized-cognition-infrastructure", "path_count": 1, "path_product": 0.386451699426, "strength": 0.386451699426 }, { "branch_id": "ai-mediated-continuous-thought-capture-archive", "depth": 2, "id": "conversational-co-adaptive-training-infrastructure", "parent_id": "ai-mediated-continuous-thought-capture-archive", "path_count": 1, "path_product": 0.44866735005300007, "strength": 0.44866735005300007 }, { "branch_id": "conversation-compounded-ai-textbook-infrastructure", "depth": 2, "id": "conversational-code-fabric", "parent_id": "conversation-compounded-ai-textbook-infrastructure", "path_count": 1, "path_product": 0.405100053292, "strength": 0.405100053292 }, { "branch_id": "persistent-ai-mediated-conversational-routing-fabric", "depth": 2, "id": "conversational-graph-orchestrated-ai-work-layer", "parent_id": "persistent-ai-mediated-conversational-routing-fabric", "path_count": 1, "path_product": 0.41033602511999995, "strength": 0.41033602511999995 }, { "branch_id": "ai-mediated-living-knowledge-fabric", "depth": 2, "id": "conversational-graph-vector-knowledge-fabric", "parent_id": "ai-mediated-living-knowledge-fabric", "path_count": 1, "path_product": 0.387903777648, "strength": 0.387903777648 }, { "branch_id": "conceptographic-externalized-cognition-infrastructure", "depth": 2, "id": "curiosity-driven-threshold-cartography-narrative-engine", "parent_id": "conceptographic-externalized-cognition-infrastructure", "path_count": 1, "path_product": 0.400581194175, "strength": 0.400581194175 }, { "branch_id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "depth": 2, "id": "embedding-native-geometric-knowledge-navigation-and-semantic-field-manipulation", "parent_id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "path_count": 1, "path_product": 0.430223500501, "strength": 0.430223500501 }, { "branch_id": "adaptive-ai-mediated-visual-language", "depth": 2, "id": "embedding-native-visual-and-adaptive-language-artifacts", "parent_id": "adaptive-ai-mediated-visual-language", "path_count": 1, "path_product": 0.448732774512, "strength": 0.448732774512 }, { "branch_id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "depth": 2, "id": "embedding-space-cognitive-navigation", "parent_id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "path_count": 1, "path_product": 0.42077840297899993, "strength": 0.42077840297899993 }, { "branch_id": "continuous-generative-production-distribution-stack-with-ai-co-execution-and-latent-creative-navigation", "depth": 2, "id": "embodied-generative-spatial-music-systems", "parent_id": "continuous-generative-production-distribution-stack-with-ai-co-execution-and-latent-creative-navigation", "path_count": 1, "path_product": 0.42368471215200004, "strength": 0.42368471215200004 }, { "branch_id": "intent-to-architecture-human-ai-development-split", "depth": 2, "id": "embodied-intent-collapse-input-systems", "parent_id": "intent-to-architecture-human-ai-development-split", "path_count": 1, "path_product": 0.42807561840999997, "strength": 0.42807561840999997 }, { "branch_id": "ai-mediated-living-knowledge-fabric", "depth": 2, "id": "epistemic-graph-development-with-signal-oriented-validation", "parent_id": "ai-mediated-living-knowledge-fabric", "path_count": 1, "path_product": 0.39091447285799996, "strength": 0.39091447285799996 }, { "branch_id": "recursive-ai-scaffolded-thought-and-workflow-construction", "depth": 2, "id": "evolutionary-diagram-to-code-feedback-loop", "parent_id": "recursive-ai-scaffolded-thought-and-workflow-construction", "path_count": 1, "path_product": 0.42480730325000005, "strength": 0.42480730325000005 }, { "branch_id": "externalized-divergence-convergence-cognitive-routing-ecology", "depth": 2, "id": "externalized-fractal-cognitive-cartography", "parent_id": "externalized-divergence-convergence-cognitive-routing-ecology", "path_count": 1, "path_product": 0.46551710198400004, "strength": 0.46551710198400004 }, { "branch_id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "depth": 2, "id": "externalized-recursive-embedding-graph-knowledge-field", "parent_id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "path_count": 1, "path_product": 0.49816821981399995, "strength": 0.49816821981399995 }, { "branch_id": "externalized-divergence-convergence-cognitive-routing-ecology", "depth": 2, "id": "flow-routed-energy-work-architecture", "parent_id": "externalized-divergence-convergence-cognitive-routing-ecology", "path_count": 1, "path_product": 0.44185356485599997, "strength": 0.44185356485599997 }, { "branch_id": "ai-mediated-cognitive-cartography", "depth": 2, "id": "inhabitable-embedding-cartography", "parent_id": "ai-mediated-cognitive-cartography", "path_count": 1, "path_product": 0.41016124646399993, "strength": 0.41016124646399993 }, { "branch_id": "ai-mediated-continuous-thought-capture-archive", "depth": 2, "id": "intent-driven-adaptive-communication-and-research-mediation-infrastructure", "parent_id": "ai-mediated-continuous-thought-capture-archive", "path_count": 1, "path_product": 0.436977707634, "strength": 0.436977707634 }, { "branch_id": "intent-to-architecture-human-ai-development-split", "depth": 2, "id": "intent-driven-ai-orchestration-system", "parent_id": "intent-to-architecture-human-ai-development-split", "path_count": 1, "path_product": 0.43799530991499996, "strength": 0.43799530991499996 }, { "branch_id": "intent-to-architecture-human-ai-development-split", "depth": 2, "id": "intent-driven-ambient-spatial-execution-and-toolspace-layer", "parent_id": "intent-to-architecture-human-ai-development-split", "path_count": 1, "path_product": 0.397442145835, "strength": 0.397442145835 }, { "branch_id": "ai-orchestrated-personal-development-operating-system", "depth": 2, "id": "intent-driven-development-cockpit-with-semantic-control-surfaces", "parent_id": "ai-orchestrated-personal-development-operating-system", "path_count": 1, "path_product": 0.39415221454500005, "strength": 0.39415221454500005 }, { "branch_id": "intent-to-architecture-human-ai-development-split", "depth": 2, "id": "intent-structured-attention-and-experience-infrastructure", "parent_id": "intent-to-architecture-human-ai-development-split", "path_count": 1, "path_product": 0.41328306144000004, "strength": 0.41328306144000004 }, { "branch_id": "continuous-generative-production-distribution-stack-with-ai-co-execution-and-latent-creative-navigation", "depth": 2, "id": "latent-multimodal-pattern-space-communication", "parent_id": "continuous-generative-production-distribution-stack-with-ai-co-execution-and-latent-creative-navigation", "path_count": 1, "path_product": 0.40693739018400005, "strength": 0.40693739018400005 }, { "branch_id": "ai-mediated-continuous-thought-capture-archive", "depth": 2, "id": "modular-ai-mediated-living-codex", "parent_id": "ai-mediated-continuous-thought-capture-archive", "path_count": 1, "path_product": 0.42244007395200006, "strength": 0.42244007395200006 }, { "branch_id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "depth": 2, "id": "navigable-embedding-visual-cognition-systems", "parent_id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "path_count": 1, "path_product": 0.41431861520499996, "strength": 0.41431861520499996 }, { "branch_id": "endosymbiotic-ai-human-infrastructure", "depth": 2, "id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "parent_id": "endosymbiotic-ai-human-infrastructure", "path_count": 1, "path_product": 0.43000113134400003, "strength": 0.43000113134400003 }, { "branch_id": "parallel-externalized-conversational-cognition", "depth": 2, "id": "parallel-co-exploratory-creative-system", "parent_id": "parallel-externalized-conversational-cognition", "path_count": 1, "path_product": 0.45237216035399996, "strength": 0.45237216035399996 }, { "branch_id": "continuous-generative-production-distribution-stack-with-ai-co-execution-and-latent-creative-navigation", "depth": 2, "id": "participatory-generative-art-infrastructure", "parent_id": "continuous-generative-production-distribution-stack-with-ai-co-execution-and-latent-creative-navigation", "path_count": 1, "path_product": 0.403599594996, "strength": 0.403599594996 }, { "branch_id": "parallel-externalized-conversational-cognition", "depth": 2, "id": "persistent-conversational-cognitive-infrastructure", "parent_id": "parallel-externalized-conversational-cognition", "path_count": 1, "path_product": 0.48119831823, "strength": 0.48119831823 }, { "branch_id": "recursive-ai-scaffolded-thought-and-workflow-construction", "depth": 2, "id": "personal-use-tinkering-software-as-exploratory-craft", "parent_id": "recursive-ai-scaffolded-thought-and-workflow-construction", "path_count": 1, "path_product": 0.41028266812499997, "strength": 0.41028266812499997 }, { "branch_id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "depth": 2, "id": "possibility-space-cognitive-mesh", "parent_id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "path_count": 1, "path_product": 0.37830501542699996, "strength": 0.37830501542699996 }, { "branch_id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "depth": 2, "id": "reference-anchored-embedding-terrains-and-embodied-navigation-interfaces", "parent_id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "path_count": 1, "path_product": 0.41058383426499995, "strength": 0.41058383426499995 }, { "branch_id": "seed-expanded-human-ai-co-reasoning", "depth": 2, "id": "seed-and-expansion-cognitive-infrastructure", "parent_id": "seed-expanded-human-ai-co-reasoning", "path_count": 1, "path_product": 0.453120421113, "strength": 0.453120421113 }, { "branch_id": "externalized-divergence-convergence-cognitive-routing-ecology", "depth": 2, "id": "self-directed-exploration-and-role-separation", "parent_id": "externalized-divergence-convergence-cognitive-routing-ecology", "path_count": 1, "path_product": 0.44534753450000003, "strength": 0.44534753450000003 }, { "branch_id": "continuous-generative-production-distribution-stack-with-ai-co-execution-and-latent-creative-navigation", "depth": 2, "id": "semantic-graph-coordination-for-human-ai-contribution-systems", "parent_id": "continuous-generative-production-distribution-stack-with-ai-co-execution-and-latent-creative-navigation", "path_count": 1, "path_product": 0.4259260044, "strength": 0.4259260044 }, { "branch_id": "intent-to-architecture-human-ai-development-split", "depth": 2, "id": "sketch-and-handwriting-native-intent-interface-for-generative-co-creation", "parent_id": "intent-to-architecture-human-ai-development-split", "path_count": 1, "path_product": 0.41993557641, "strength": 0.41993557641 }, { "branch_id": "intent-to-architecture-human-ai-development-split", "depth": 2, "id": "split-brain-ai-system", "parent_id": "intent-to-architecture-human-ai-development-split", "path_count": 1, "path_product": 0.40991150855999997, "strength": 0.40991150855999997 }, { "branch_id": "continuous-generative-production-distribution-stack-with-ai-co-execution-and-latent-creative-navigation", "depth": 2, "id": "stochastic-constraint-field-generative-systems-across-physical-tiles-diffusion-media-and-lottery-allocation", "parent_id": "continuous-generative-production-distribution-stack-with-ai-co-execution-and-latent-creative-navigation", "path_count": 1, "path_product": 0.420016960116, "strength": 0.420016960116 }, { "branch_id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "depth": 3, "id": "adaptive-experiential-knowledge-landscapes", "parent_id": "adaptive-embedding-text-knowledge-terrain", "path_count": 1, "path_product": 0.26619419007435785, "strength": 0.26619419007435785 }, { "branch_id": "ai-mediated-continuous-thought-capture-archive", "depth": 3, "id": "adaptive-modular-narrative-infrastructure", "parent_id": "modular-ai-mediated-living-codex", "path_count": 1, "path_product": 0.25784643769837806, "strength": 0.25784643769837806 }, { "branch_id": "endosymbiotic-ai-human-infrastructure", "depth": 3, "id": "adaptive-volumetric-play-mobility-infrastructure", "parent_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "path_count": 1, "path_product": 0.2858981653869585, "strength": 0.2858981653869585 }, { "branch_id": "continuous-generative-production-distribution-stack-with-ai-co-execution-and-latent-creative-navigation", "depth": 3, "id": "biological-geometry-and-emergent-structures", "parent_id": "embodied-generative-spatial-music-systems", "path_count": 1, "path_product": 0.25699782532773585, "strength": 0.25699782532773585 }, { "branch_id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "depth": 3, "id": "externalized-navigable-learning-systems", "parent_id": "embedding-space-cognitive-navigation", "path_count": 1, "path_product": 0.2862732202395388, "strength": 0.2862732202395388 }, { "branch_id": "conversation-compounded-ai-textbook-infrastructure", "depth": 3, "id": "functionality-first-living-code-ecosystem", "parent_id": "conversational-code-fabric", "path_count": 1, "path_product": 0.24849201858979242, "strength": 0.24849201858979242 }, { "branch_id": "ai-orchestrated-personal-development-operating-system", "depth": 3, "id": "graph-native-ai-software-runtime", "parent_id": "ai-native-software-orchestration", "path_count": 1, "path_product": 0.3017951386966092, "strength": 0.3017951386966092 }, { "branch_id": "continuous-generative-production-distribution-stack-with-ai-co-execution-and-latent-creative-navigation", "depth": 3, "id": "graph-native-relational-computation-substrate", "parent_id": "semantic-graph-coordination-for-human-ai-contribution-systems", "path_count": 1, "path_product": 0.2729913095561184, "strength": 0.2729913095561184 }, { "branch_id": "intent-to-architecture-human-ai-development-split", "depth": 3, "id": "intent-to-behavior-compilation-layer-for-software-systems", "parent_id": "intent-driven-ai-orchestration-system", "path_count": 1, "path_product": 0.2790275401532102, "strength": 0.2790275401532102 }, { "branch_id": "endosymbiotic-ai-human-infrastructure", "depth": 3, "id": "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "parent_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "path_count": 1, "path_product": 0.29111301190514327, "strength": 0.29111301190514327 }, { "branch_id": "continuous-generative-production-distribution-stack-with-ai-co-execution-and-latent-creative-navigation", "depth": 3, "id": "position-aware-audio-installation", "parent_id": "embodied-generative-spatial-music-systems", "path_count": 1, "path_product": 0.2566508275484834, "strength": 0.2566508275484834 }, { "branch_id": "endosymbiotic-ai-human-infrastructure", "depth": 3, "id": "predictive-living-experience-mesh", "parent_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "path_count": 1, "path_product": 0.27449558763322657, "strength": 0.27449558763322657 }, { "branch_id": "continuous-generative-production-distribution-stack-with-ai-co-execution-and-latent-creative-navigation", "depth": 3, "id": "probability-based-faster-than-light-communication", "parent_id": "latent-multimodal-pattern-space-communication", "path_count": 1, "path_product": 0.25262306938971557, "strength": 0.25262306938971557 }, { "branch_id": "endosymbiotic-ai-human-infrastructure", "depth": 3, "id": "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "parent_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "path_count": 1, "path_product": 0.28027756600086906, "strength": 0.28027756600086906 }, { "branch_id": "continuous-generative-production-distribution-stack-with-ai-co-execution-and-latent-creative-navigation", "depth": 3, "id": "semantic-commit-memory", "parent_id": "semantic-graph-coordination-for-human-ai-contribution-systems", "path_count": 1, "path_product": 0.2618631408391596, "strength": 0.2618631408391596 }, { "branch_id": "adaptive-ai-mediated-visual-language", "depth": 3, "id": "sonic-spatial-augmentation-systems", "parent_id": "adaptive-sonic-cognitive-encoding-and-navigable-music-ai-knowledge-systems", "path_count": 1, "path_product": 0.2558263457588643, "strength": 0.2558263457588643 } ], "score": "path-product", "status": "keep", "threshold": 0.6, "visual_interpretation": "Either a blank field or a saturated component: the visual bifurcation is the evidence this lens contributes." }, { "caution": "Reciprocity can reject a real relation near a dense hub.", "claim": "Keep a ranked edge only when both endpoints choose each other.", "direct_edges": [ { "id": "thought-externalization", "similarity": 0.7897244223766268 }, { "id": "ai-mediated-externalized-cognition-loop", "similarity": 0.7840559354675138 }, { "id": "ai-externalized-ideation-loop", "similarity": 0.7807245283149387 }, { "id": "persistent-ai-mediated-externalized-cognition-loop", "similarity": 0.7672435298421607 }, { "id": "ai-first-externalized-cognitive-operating-system", "similarity": 0.7560078299124575 }, { "id": "externalized-cognition", "similarity": 0.7443424903292988 } ], "graph": "mutual-ranked", "id": "mutual-ranked-path", "label": "Mutual nearest", "metrics": { "depth_counts": { "1": 6, "2": 4, "3": 7 }, "direct_degree": 6, "effective_node_count": 16.335899321063543, "field_mass": 9.883626071165082, "field_mass_per_concept": 0.05371535908241892, "reach_count": 18, "visible_count": 17, "weighted_world_radius": 0.21351816468130763 }, "nodes": [ { "branch_id": "ai-externalized-thought-flow", "depth": 0, "id": "ai-externalized-thought-flow", "parent_id": "", "path_count": 1, "path_product": 1.0, "strength": 1.0 }, { "branch_id": "ai-externalized-ideation-loop", "depth": 1, "id": "ai-externalized-ideation-loop", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.7807245283149387, "strength": 0.7807245283149387 }, { "branch_id": "ai-first-externalized-cognitive-operating-system", "depth": 1, "id": "ai-first-externalized-cognitive-operating-system", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.7560078299124575, "strength": 0.7560078299124575 }, { "branch_id": "ai-mediated-externalized-cognition-loop", "depth": 1, "id": "ai-mediated-externalized-cognition-loop", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.7840559354675138, "strength": 0.7840559354675138 }, { "branch_id": "externalized-cognition", "depth": 1, "id": "externalized-cognition", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.7443424903292988, "strength": 0.7443424903292988 }, { "branch_id": "persistent-ai-mediated-externalized-cognition-loop", "depth": 1, "id": "persistent-ai-mediated-externalized-cognition-loop", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.7672435298421607, "strength": 0.7672435298421607 }, { "branch_id": "thought-externalization", "depth": 1, "id": "thought-externalization", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.7897244223766268, "strength": 0.7897244223766268 }, { "branch_id": "ai-first-externalized-cognitive-operating-system", "depth": 2, "id": "ai-orchestrated-personal-development-operating-system", "parent_id": "ai-first-externalized-cognitive-operating-system", "path_count": 1, "path_product": 0.5529029154731218, "strength": 0.5529029154731218 }, { "branch_id": "thought-externalization", "depth": 2, "id": "cognitive-offloading", "parent_id": "thought-externalization", "path_count": 1, "path_product": 0.5888988131895518, "strength": 0.5888988131895518 }, { "branch_id": "persistent-ai-mediated-externalized-cognition-loop", "depth": 2, "id": "continuous-externalized-ai-cognition-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.6191851436441196, "strength": 0.6191851436441196 }, { "branch_id": "ai-mediated-externalized-cognition-loop", "depth": 2, "id": "recursive-ai-mediated-externalized-cognition-loop", "parent_id": "ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.6394248738269254, "strength": 0.6394248738269254 }, { "branch_id": "ai-first-externalized-cognitive-operating-system", "depth": 3, "id": "ai-gardened-pattern-field-agency", "parent_id": "ai-orchestrated-personal-development-operating-system", "path_count": 1, "path_product": 0.3594383640808058, "strength": 0.3594383640808058 }, { "branch_id": "ai-first-externalized-cognitive-operating-system", "depth": 3, "id": "ai-native-software-orchestration", "parent_id": "ai-orchestrated-personal-development-operating-system", "path_count": 1, "path_product": 0.36870864798945213, "strength": 0.36870864798945213 }, { "branch_id": "ai-first-externalized-cognitive-operating-system", "depth": 3, "id": "ai-operable-construction-knowledge-infrastructure", "parent_id": "ai-orchestrated-personal-development-operating-system", "path_count": 1, "path_product": 0.3832268414715128, "strength": 0.3832268414715128 }, { "branch_id": "ai-first-externalized-cognitive-operating-system", "depth": 3, "id": "ai-orchestrated-graph-and-quest-execution-system", "parent_id": "ai-orchestrated-personal-development-operating-system", "path_count": 1, "path_product": 0.3690810922920612, "strength": 0.3690810922920612 }, { "branch_id": "persistent-ai-mediated-externalized-cognition-loop", "depth": 3, "id": "continuous-externalized-cognitive-flow-loop", "parent_id": "continuous-externalized-ai-cognition-loop", "path_count": 1, "path_product": 0.4872807366520578, "strength": 0.4872807366520578 }, { "branch_id": "thought-externalization", "depth": 3, "id": "cost-compressed-externalized-cognition-life-architecture", "parent_id": "cognitive-offloading", "path_count": 1, "path_product": 0.415746709382697, "strength": 0.415746709382697 }, { "branch_id": "persistent-ai-mediated-externalized-cognition-loop", "depth": 3, "id": "voice-ai-externalized-cognition-loop", "parent_id": "continuous-externalized-ai-cognition-loop", "path_count": 1, "path_product": 0.47763319691978023, "strength": 0.47763319691978023 } ], "score": "path-product", "status": "candidate", "visual_interpretation": "Small reciprocal islands with fewer one-way spokes and visibly harder boundaries." }, { "caution": "Fading says direct root affinity, not path unreliability.", "claim": "bounded reach membership with intensity set by each reached concept's direct cosine similarity to the selected origin", "direct_edges": [ { "id": "thought-externalization", "similarity": 0.7897244223766268 }, { "id": "ai-mediated-externalized-cognition-loop", "similarity": 0.7840559354675138 }, { "id": "ai-externalized-ideation-loop", "similarity": 0.7807245283149387 }, { "id": "persistent-ai-mediated-externalized-cognition-loop", "similarity": 0.7672435298421607 }, { "id": "ai-first-externalized-cognitive-operating-system", "similarity": 0.7560078299124575 }, { "id": "externalized-cognition", "similarity": 0.7443424903292988 } ], "graph": "ranked", "id": "origin-affinity", "label": "Nearest-six reach · origin affinity", "metrics": { "depth_counts": { "1": 6, "2": 4, "3": 8 }, "direct_degree": 6, "effective_node_count": 17.294527067760182, "field_mass": 11.898208, "field_mass_per_concept": 0.06466417391304348, "reach_count": 19, "visible_count": 18, "weighted_world_radius": 0.22832690631301186 }, "nodes": [ { "branch_id": "ai-externalized-thought-flow", "depth": 0, "id": "ai-externalized-thought-flow", "parent_id": "", "path_count": 1, "path_product": 1.0, "strength": 1.0 }, { "branch_id": "ai-externalized-ideation-loop", "depth": 1, "id": "ai-externalized-ideation-loop", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.7807245283149387, "strength": 0.86145 }, { "branch_id": "ai-first-externalized-cognitive-operating-system", "depth": 1, "id": "ai-first-externalized-cognitive-operating-system", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.7560078299124575, "strength": 0.8120160000000001 }, { "branch_id": "ai-mediated-externalized-cognition-loop", "depth": 1, "id": "ai-mediated-externalized-cognition-loop", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.7840559354675138, "strength": 0.868112 }, { "branch_id": "externalized-cognition", "depth": 1, "id": "externalized-cognition", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.7443424903292988, "strength": 0.7886839999999999 }, { "branch_id": "persistent-ai-mediated-externalized-cognition-loop", "depth": 1, "id": "persistent-ai-mediated-externalized-cognition-loop", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.7672435298421607, "strength": 0.8344880000000001 }, { "branch_id": "thought-externalization", "depth": 1, "id": "thought-externalization", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.7897244223766268, "strength": 0.879448 }, { "branch_id": "ai-first-externalized-cognitive-operating-system", "depth": 2, "id": "ai-orchestrated-personal-development-operating-system", "parent_id": "ai-first-externalized-cognitive-operating-system", "path_count": 1, "path_product": 0.5529029154731218, "strength": 0.5948900000000001 }, { "branch_id": "thought-externalization", "depth": 2, "id": "cognitive-offloading", "parent_id": "thought-externalization", "path_count": 1, "path_product": 0.5888988131895518, "strength": 0.651956 }, { "branch_id": "persistent-ai-mediated-externalized-cognition-loop", "depth": 2, "id": "continuous-externalized-ai-cognition-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.6191851436441196, "strength": 0.7733840000000001 }, { "branch_id": "ai-mediated-externalized-cognition-loop", "depth": 2, "id": "recursive-ai-mediated-externalized-cognition-loop", "parent_id": "ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.6394248738269254, "strength": 0.759816 }, { "branch_id": "ai-first-externalized-cognitive-operating-system", "depth": 3, "id": "ai-gardened-pattern-field-agency", "parent_id": "ai-orchestrated-personal-development-operating-system", "path_count": 1, "path_product": 0.3594383640808058, "strength": 0.4992160000000001 }, { "branch_id": "ai-first-externalized-cognitive-operating-system", "depth": 3, "id": "ai-native-software-orchestration", "parent_id": "ai-orchestrated-personal-development-operating-system", "path_count": 1, "path_product": 0.36870864798945213, "strength": 0.3527800000000001 }, { "branch_id": "ai-first-externalized-cognitive-operating-system", "depth": 3, "id": "ai-operable-construction-knowledge-infrastructure", "parent_id": "ai-orchestrated-personal-development-operating-system", "path_count": 1, "path_product": 0.3832268414715128, "strength": 0.342546 }, { "branch_id": "ai-first-externalized-cognitive-operating-system", "depth": 3, "id": "ai-orchestrated-graph-and-quest-execution-system", "parent_id": "ai-orchestrated-personal-development-operating-system", "path_count": 1, "path_product": 0.3690810922920612, "strength": 0.4476 }, { "branch_id": "persistent-ai-mediated-externalized-cognition-loop", "depth": 3, "id": "continuous-externalized-cognitive-flow-loop", "parent_id": "continuous-externalized-ai-cognition-loop", "path_count": 1, "path_product": 0.4872807366520578, "strength": 0.71258 }, { "branch_id": "thought-externalization", "depth": 3, "id": "cost-compressed-externalized-cognition-life-architecture", "parent_id": "cognitive-offloading", "path_count": 1, "path_product": 0.415746709382697, "strength": 0.554006 }, { "branch_id": "ai-first-externalized-cognitive-operating-system", "depth": 3, "id": "intent-driven-ai-orchestration-system", "parent_id": "ai-orchestrated-personal-development-operating-system", "path_count": 1, "path_product": 0.3597205370647423, "strength": 0.40313 }, { "branch_id": "persistent-ai-mediated-externalized-cognition-loop", "depth": 3, "id": "voice-ai-externalized-cognition-loop", "parent_id": "continuous-externalized-ai-cognition-loop", "path_count": 1, "path_product": 0.47763319691978023, "strength": 0.762106 } ], "score": "origin-affinity", "status": "keep", "visual_interpretation": "A bounded footprint with distant-in-meaning members fading out even when the traversal can still reach them." }, { "caution": "A mean can conceal a single weak bridge.", "claim": "bounded reach membership with intensity set by the candidate's mean cosine similarity to every earlier concept on its chosen path", "direct_edges": [ { "id": "thought-externalization", "similarity": 0.7897244223766268 }, { "id": "ai-mediated-externalized-cognition-loop", "similarity": 0.7840559354675138 }, { "id": "ai-externalized-ideation-loop", "similarity": 0.7807245283149387 }, { "id": "persistent-ai-mediated-externalized-cognition-loop", "similarity": 0.7672435298421607 }, { "id": "ai-first-externalized-cognitive-operating-system", "similarity": 0.7560078299124575 }, { "id": "externalized-cognition", "similarity": 0.7443424903292988 } ], "graph": "ranked", "id": "path-cohesion", "label": "Nearest-six reach · path cohesion", "metrics": { "depth_counts": { "1": 6, "2": 4, "3": 8 }, "direct_degree": 6, "effective_node_count": 17.5738077401363, "field_mass": 12.784478, "field_mass_per_concept": 0.06948085869565217, "reach_count": 19, "visible_count": 18, "weighted_world_radius": 0.24271377545481715 }, "nodes": [ { "branch_id": "ai-externalized-thought-flow", "depth": 0, "id": "ai-externalized-thought-flow", "parent_id": "", "path_count": 1, "path_product": 1.0, "strength": 1.0 }, { "branch_id": "ai-externalized-ideation-loop", "depth": 1, "id": "ai-externalized-ideation-loop", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.7807245283149387, "strength": 0.86145 }, { "branch_id": "ai-first-externalized-cognitive-operating-system", "depth": 1, "id": "ai-first-externalized-cognitive-operating-system", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.7560078299124575, "strength": 0.8120160000000001 }, { "branch_id": "ai-mediated-externalized-cognition-loop", "depth": 1, "id": "ai-mediated-externalized-cognition-loop", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.7840559354675138, "strength": 0.868112 }, { "branch_id": "externalized-cognition", "depth": 1, "id": "externalized-cognition", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.7443424903292988, "strength": 0.7886839999999999 }, { "branch_id": "persistent-ai-mediated-externalized-cognition-loop", "depth": 1, "id": "persistent-ai-mediated-externalized-cognition-loop", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.7672435298421607, "strength": 0.8344880000000001 }, { "branch_id": "thought-externalization", "depth": 1, "id": "thought-externalization", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.7897244223766268, "strength": 0.879448 }, { "branch_id": "ai-first-externalized-cognitive-operating-system", "depth": 2, "id": "ai-orchestrated-personal-development-operating-system", "parent_id": "ai-first-externalized-cognitive-operating-system", "path_count": 1, "path_product": 0.5529029154731218, "strength": 0.67879 }, { "branch_id": "externalized-cognition", "depth": 2, "id": "cognitive-offloading", "parent_id": "externalized-cognition", "path_count": 1, "path_product": 0.5584008537340948, "strength": 0.7261710000000001 }, { "branch_id": "persistent-ai-mediated-externalized-cognition-loop", "depth": 2, "id": "continuous-externalized-ai-cognition-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.6191851436441196, "strength": 0.8437180000000002 }, { "branch_id": "ai-mediated-externalized-cognition-loop", "depth": 2, "id": "recursive-ai-mediated-externalized-cognition-loop", "parent_id": "ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.6394248738269254, "strength": 0.8454430000000002 }, { "branch_id": "ai-first-externalized-cognitive-operating-system", "depth": 3, "id": "ai-gardened-pattern-field-agency", "parent_id": "ai-orchestrated-personal-development-operating-system", "path_count": 1, "path_product": 0.3594383640808058, "strength": 0.485538 }, { "branch_id": "ai-first-externalized-cognitive-operating-system", "depth": 3, "id": "ai-native-software-orchestration", "parent_id": "ai-orchestrated-personal-development-operating-system", "path_count": 1, "path_product": 0.36870864798945213, "strength": 0.4663193333333333 }, { "branch_id": "ai-first-externalized-cognitive-operating-system", "depth": 3, "id": "ai-operable-construction-knowledge-infrastructure", "parent_id": "ai-orchestrated-personal-development-operating-system", "path_count": 1, "path_product": 0.3832268414715128, "strength": 0.5156893333333334 }, { "branch_id": "ai-first-externalized-cognitive-operating-system", "depth": 3, "id": "ai-orchestrated-graph-and-quest-execution-system", "parent_id": "ai-orchestrated-personal-development-operating-system", "path_count": 1, "path_product": 0.3690810922920612, "strength": 0.506882 }, { "branch_id": "persistent-ai-mediated-externalized-cognition-loop", "depth": 3, "id": "continuous-externalized-cognitive-flow-loop", "parent_id": "continuous-externalized-ai-cognition-loop", "path_count": 1, "path_product": 0.4872807366520578, "strength": 0.7921066666666665 }, { "branch_id": "externalized-cognition", "depth": 3, "id": "cost-compressed-externalized-cognition-life-architecture", "parent_id": "cognitive-offloading", "path_count": 1, "path_product": 0.3942159709901032, "strength": 0.6247699999999998 }, { "branch_id": "ai-first-externalized-cognitive-operating-system", "depth": 3, "id": "intent-driven-ai-orchestration-system", "parent_id": "ai-orchestrated-personal-development-operating-system", "path_count": 1, "path_product": 0.3597205370647423, "strength": 0.4691693333333333 }, { "branch_id": "persistent-ai-mediated-externalized-cognition-loop", "depth": 3, "id": "voice-ai-externalized-cognition-loop", "parent_id": "continuous-externalized-ai-cognition-loop", "path_count": 1, "path_product": 0.47763319691978023, "strength": 0.7856833333333335 } ], "score": "path-cohesion", "status": "experimental", "visual_interpretation": "Broad, comparatively even halos because a candidate can agree with the route context despite weak direct origin affinity." }, { "caution": "One noisy edge can suppress an otherwise coherent route.", "claim": "Let the weakest edge cap every selected route.", "direct_edges": [ { "id": "thought-externalization", "similarity": 0.7897244223766268 }, { "id": "ai-mediated-externalized-cognition-loop", "similarity": 0.7840559354675138 }, { "id": "ai-externalized-ideation-loop", "similarity": 0.7807245283149387 }, { "id": "persistent-ai-mediated-externalized-cognition-loop", "similarity": 0.7672435298421607 }, { "id": "ai-first-externalized-cognitive-operating-system", "similarity": 0.7560078299124575 }, { "id": "externalized-cognition", "similarity": 0.7443424903292988 } ], "graph": "ranked", "id": "ranked-bottleneck", "label": "Weakest-link path", "metrics": { "depth_counts": { "1": 6, "2": 4, "3": 8 }, "direct_degree": 6, "effective_node_count": 17.858079993762818, "field_mass": 13.83822544931678, "field_mass_per_concept": 0.07520774700715642, "reach_count": 19, "visible_count": 18, "weighted_world_radius": 0.2617973904376417 }, "nodes": [ { "branch_id": "ai-externalized-thought-flow", "depth": 0, "id": "ai-externalized-thought-flow", "parent_id": "", "path_count": 1, "path_product": 1.0, "strength": 1.0 }, { "branch_id": "ai-externalized-ideation-loop", "depth": 1, "id": "ai-externalized-ideation-loop", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.7807245283149387, "strength": 0.8614490566298774 }, { "branch_id": "ai-first-externalized-cognitive-operating-system", "depth": 1, "id": "ai-first-externalized-cognitive-operating-system", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.7560078299124575, "strength": 0.8120156598249151 }, { "branch_id": "ai-mediated-externalized-cognition-loop", "depth": 1, "id": "ai-mediated-externalized-cognition-loop", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.7840559354675138, "strength": 0.8681118709350277 }, { "branch_id": "externalized-cognition", "depth": 1, "id": "externalized-cognition", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.7443424903292988, "strength": 0.7886849806585976 }, { "branch_id": "persistent-ai-mediated-externalized-cognition-loop", "depth": 1, "id": "persistent-ai-mediated-externalized-cognition-loop", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.7672435298421607, "strength": 0.8344870596843215 }, { "branch_id": "thought-externalization", "depth": 1, "id": "thought-externalization", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.7897244223766268, "strength": 0.8794488447532536 }, { "branch_id": "ai-first-externalized-cognitive-operating-system", "depth": 2, "id": "ai-orchestrated-personal-development-operating-system", "parent_id": "ai-first-externalized-cognitive-operating-system", "path_count": 1, "path_product": 0.5529029154731218, "strength": 0.7626909764602452 }, { "branch_id": "thought-externalization", "depth": 2, "id": "cognitive-offloading", "parent_id": "thought-externalization", "path_count": 1, "path_product": 0.5888988131895518, "strength": 0.7914033212175389 }, { "branch_id": "persistent-ai-mediated-externalized-cognition-loop", "depth": 2, "id": "continuous-externalized-ai-cognition-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.6191851436441196, "strength": 0.8344870596843215 }, { "branch_id": "ai-mediated-externalized-cognition-loop", "depth": 2, "id": "recursive-ai-mediated-externalized-cognition-loop", "parent_id": "ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.6394248738269254, "strength": 0.8681118709350277 }, { "branch_id": "ai-first-externalized-cognitive-operating-system", "depth": 3, "id": "ai-gardened-pattern-field-agency", "parent_id": "ai-orchestrated-personal-development-operating-system", "path_count": 1, "path_product": 0.3594383640808058, "strength": 0.6001861774349033 }, { "branch_id": "ai-first-externalized-cognitive-operating-system", "depth": 3, "id": "ai-native-software-orchestration", "parent_id": "ai-orchestrated-personal-development-operating-system", "path_count": 1, "path_product": 0.36870864798945213, "strength": 0.6337193119119162 }, { "branch_id": "ai-first-externalized-cognitive-operating-system", "depth": 3, "id": "ai-operable-construction-knowledge-infrastructure", "parent_id": "ai-orchestrated-personal-development-operating-system", "path_count": 1, "path_product": 0.3832268414715128, "strength": 0.6862355605181922 }, { "branch_id": "ai-first-externalized-cognitive-operating-system", "depth": 3, "id": "ai-orchestrated-graph-and-quest-execution-system", "parent_id": "ai-orchestrated-personal-development-operating-system", "path_count": 1, "path_product": 0.3690810922920612, "strength": 0.6350665441010985 }, { "branch_id": "persistent-ai-mediated-externalized-cognition-loop", "depth": 3, "id": "continuous-externalized-cognitive-flow-loop", "parent_id": "continuous-externalized-ai-cognition-loop", "path_count": 1, "path_product": 0.4872807366520578, "strength": 0.8344870596843215 }, { "branch_id": "thought-externalization", "depth": 3, "id": "cost-compressed-externalized-cognition-life-architecture", "parent_id": "cognitive-offloading", "path_count": 1, "path_product": 0.415746709382697, "strength": 0.7119461614499076 }, { "branch_id": "ai-first-externalized-cognitive-operating-system", "depth": 3, "id": "intent-driven-ai-orchestration-system", "parent_id": "ai-orchestrated-personal-development-operating-system", "path_count": 1, "path_product": 0.3597205370647423, "strength": 0.6012068737489931 }, { "branch_id": "persistent-ai-mediated-externalized-cognition-loop", "depth": 3, "id": "voice-ai-externalized-cognition-loop", "parent_id": "continuous-externalized-ai-cognition-loop", "path_count": 1, "path_product": 0.47763319691978023, "strength": 0.8344870596843215 } ], "score": "path-bottleneck", "status": "candidate", "visual_interpretation": "Branch-level plateaus: one weak bridge dims every descendant beyond it." }, { "caution": "The probability-union display treats correlated paths as support.", "claim": "Accumulate support from every simple route within three hops.", "direct_edges": [ { "id": "thought-externalization", "similarity": 0.7897244223766268 }, { "id": "ai-mediated-externalized-cognition-loop", "similarity": 0.7840559354675138 }, { "id": "ai-externalized-ideation-loop", "similarity": 0.7807245283149387 }, { "id": "persistent-ai-mediated-externalized-cognition-loop", "similarity": 0.7672435298421607 }, { "id": "ai-first-externalized-cognitive-operating-system", "similarity": 0.7560078299124575 }, { "id": "externalized-cognition", "similarity": 0.7443424903292988 } ], "graph": "ranked", "id": "ranked-multipath", "label": "Multipath support", "metrics": { "depth_counts": { "1": 6, "2": 4, "3": 8 }, "direct_degree": 6, "effective_node_count": 16.80296839208661, "field_mass": 14.248940498979989, "field_mass_per_concept": 0.0774398940161956, "reach_count": 19, "visible_count": 18, "weighted_world_radius": 0.21223338745918663 }, "nodes": [ { "branch_id": "ai-externalized-thought-flow", "depth": 0, "id": "ai-externalized-thought-flow", "parent_id": "", "path_count": 1, "path_product": 1.0, "strength": 1.0 }, { "branch_id": "ai-externalized-ideation-loop", "depth": 1, "id": "ai-externalized-ideation-loop", "parent_id": "ai-externalized-thought-flow", "path_count": 19, "path_product": 0.7807245283149387, "strength": 0.9999981675007857 }, { "branch_id": "ai-first-externalized-cognitive-operating-system", "depth": 1, "id": "ai-first-externalized-cognitive-operating-system", "parent_id": "ai-externalized-thought-flow", "path_count": 14, "path_product": 0.7560078299124575, "strength": 0.999934633191338 }, { "branch_id": "ai-mediated-externalized-cognition-loop", "depth": 1, "id": "ai-mediated-externalized-cognition-loop", "parent_id": "ai-externalized-thought-flow", "path_count": 23, "path_product": 0.7840559354675138, "strength": 0.9999999045411537 }, { "branch_id": "externalized-cognition", "depth": 1, "id": "externalized-cognition", "parent_id": "ai-externalized-thought-flow", "path_count": 5, "path_product": 0.7443424903292988, "strength": 0.9813293254474329 }, { "branch_id": "persistent-ai-mediated-externalized-cognition-loop", "depth": 1, "id": "persistent-ai-mediated-externalized-cognition-loop", "parent_id": "ai-externalized-thought-flow", "path_count": 25, "path_product": 0.7672435298421607, "strength": 0.9999999666925127 }, { "branch_id": "thought-externalization", "depth": 1, "id": "thought-externalization", "parent_id": "ai-externalized-thought-flow", "path_count": 11, "path_product": 0.7897244223766268, "strength": 0.9996501429961797 }, { "branch_id": "ai-first-externalized-cognitive-operating-system", "depth": 2, "id": "ai-orchestrated-personal-development-operating-system", "parent_id": "ai-first-externalized-cognitive-operating-system", "path_count": 4, "path_product": 0.5529029154731218, "strength": 0.9126397077509821 }, { "branch_id": "thought-externalization", "depth": 2, "id": "cognitive-offloading", "parent_id": "thought-externalization", "path_count": 6, "path_product": 0.5888988131895518, "strength": 0.9804369125141752 }, { "branch_id": "persistent-ai-mediated-externalized-cognition-loop", "depth": 2, "id": "continuous-externalized-ai-cognition-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 21, "path_product": 0.6191851436441196, "strength": 0.9999988206801116 }, { "branch_id": "ai-mediated-externalized-cognition-loop", "depth": 2, "id": "recursive-ai-mediated-externalized-cognition-loop", "parent_id": "ai-mediated-externalized-cognition-loop", "path_count": 16, "path_product": 0.6394248738269254, "strength": 0.9999842623192285 }, { "branch_id": "ai-first-externalized-cognitive-operating-system", "depth": 3, "id": "ai-gardened-pattern-field-agency", "parent_id": "ai-orchestrated-personal-development-operating-system", "path_count": 1, "path_product": 0.3594383640808058, "strength": 0.35943836408080587 }, { "branch_id": "ai-first-externalized-cognitive-operating-system", "depth": 3, "id": "ai-native-software-orchestration", "parent_id": "ai-orchestrated-personal-development-operating-system", "path_count": 1, "path_product": 0.36870864798945213, "strength": 0.36870864798945213 }, { "branch_id": "ai-first-externalized-cognitive-operating-system", "depth": 3, "id": "ai-operable-construction-knowledge-infrastructure", "parent_id": "ai-orchestrated-personal-development-operating-system", "path_count": 1, "path_product": 0.3832268414715128, "strength": 0.38322684147151276 }, { "branch_id": "ai-first-externalized-cognitive-operating-system", "depth": 3, "id": "ai-orchestrated-graph-and-quest-execution-system", "parent_id": "ai-orchestrated-personal-development-operating-system", "path_count": 1, "path_product": 0.3690810922920612, "strength": 0.3690810922920612 }, { "branch_id": "persistent-ai-mediated-externalized-cognition-loop", "depth": 3, "id": "continuous-externalized-cognitive-flow-loop", "parent_id": "continuous-externalized-ai-cognition-loop", "path_count": 7, "path_product": 0.4872807366520578, "strength": 0.9845143797209348 }, { "branch_id": "thought-externalization", "depth": 3, "id": "cost-compressed-externalized-cognition-life-architecture", "parent_id": "cognitive-offloading", "path_count": 2, "path_product": 0.415746709382697, "strength": 0.6460686876475601 }, { "branch_id": "ai-first-externalized-cognitive-operating-system", "depth": 3, "id": "intent-driven-ai-orchestration-system", "parent_id": "ai-orchestrated-personal-development-operating-system", "path_count": 1, "path_product": 0.3597205370647423, "strength": 0.3597205370647423 }, { "branch_id": "persistent-ai-mediated-externalized-cognition-loop", "depth": 3, "id": "voice-ai-externalized-cognition-loop", "parent_id": "continuous-externalized-ai-cognition-loop", "path_count": 4, "path_product": 0.47763319691978023, "strength": 0.9042101050790199 } ], "score": "multipath-support", "status": "candidate", "visual_interpretation": "Bright convergence hotspots where several routes support the same target; redundant hubs can quickly saturate." } ], "code": "C012", "hue": 110, "id": "ai-externalized-thought-flow", "observation": "It has 46 direct relations at the fixed threshold, showing why absolute topology can saturate.", "profile_order": [ "ai-externalized-thought-flow", "thought-externalization", "ai-mediated-externalized-cognition-loop", "ai-externalized-ideation-loop", "persistent-ai-mediated-externalized-cognition-loop", "ai-first-externalized-cognitive-operating-system", "externalized-cognition", "continuous-externalized-ai-cognition-loop", "externalized-divergence-convergence-cognitive-routing-ecology", "voice-ai-externalized-cognition-loop", "recursive-ai-mediated-externalized-cognition-loop", "ai-mediated-cognitive-intimacy-and-collective-co-processing", "parallel-externalized-conversational-cognition", "continuous-externalized-cognitive-flow-loop", "ai-mediated-continuous-thought-capture-archive", "voice-first-continuous-cognitive-offloading-layer", "continuous-externalized-thought-infrastructure", "endosymbiotic-ai-human-infrastructure", "cognitive-offloading", "continuous-generative-production-distribution-stack-with-ai-co-execution-and-latent-creative-navigation", "externalized-seed-and-scaffold-creativity-infrastructure", "intent-to-architecture-human-ai-development-split", "cognitive-responsive-city-infrastructure", "adaptive-ai-mediated-visual-language", "recursive-ai-scaffolded-thought-and-workflow-construction", "ai-orchestrated-personal-development-operating-system", "seed-expanded-human-ai-co-reasoning", "ai-mediated-adaptive-creation-workshop-presentation-and-personal-manufacturing-loops", "ai-mediated-cognitive-cartography", "ai-mediated-seed-idea-ecology", "externalized-predictive-conversational-cognition", "seed-stream-externalized-ideation", "ai-mediated-living-knowledge-fabric", "personalized-thought-materialization-room", "self-directed-cognitive-scaffolding-with-hibernating-execution-layers", "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "cost-compressed-externalized-cognition-life-architecture", "ambiguity-controlled-ai-co-creation", "conceptographic-externalized-cognition-infrastructure", "ai-mediated-spore-scale-idea-propagation", "persistent-ai-mediated-conversational-routing-fabric", "conversation-compounded-ai-textbook-infrastructure", "externalized-recursive-thought-archive", "externalized-scratchpad-architecture-for-ai-native-development", "continuous-externalized-thought-language-co-processing-loop", "externalized-seed-stream-knowledge-graph-production-infrastructure", "human-ai-communication-optimized-across-cycles", "ai-mediated-understanding-transfer-network", "ai-gardened-pattern-field-agency", "ambient-relational-ai-and-artifact-scaffolds", "conversational-co-adaptive-training-infrastructure", "conversational-code-fabric", "semantic-graph-coordination-for-human-ai-contribution-systems", "conversational-graph-orchestrated-ai-work-layer", "ai-mediated-autopilot-labor-cognition", "externalized-recursive-embedding-graph-knowledge-field", "ai-orchestrated-graph-and-quest-execution-system", "parallel-co-exploratory-creative-system", "externalized-fractal-cognitive-cartography", "split-brain-ai-system", "flow-routed-energy-work-architecture", "sketch-and-handwriting-native-intent-interface-for-generative-co-creation", "persistent-conversational-cognitive-infrastructure", "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "intent-driven-ambient-spatial-execution-and-toolspace-layer", "intent-driven-ai-orchestration-system", "personal-use-tinkering-software-as-exploratory-craft", "possibility-space-cognitive-mesh", "curiosity-driven-threshold-cartography-narrative-engine", "embodied-generative-spatial-music-systems", "self-directed-exploration-and-role-separation", "intent-driven-adaptive-communication-and-research-mediation-infrastructure", "adaptive-sonic-cognitive-encoding-and-navigable-music-ai-knowledge-systems", "intent-structured-attention-and-experience-infrastructure", "perceptual-computational-environmental-stack-for-augmented-ecological-reality-systems", "adaptive-food-abundance-infrastructure", "embodied-intent-collapse-input-systems", "bio-digital-symbiotic-evolutionary-infrastructure", "identity-decoupled-generative-idea-ecosystem", "ai-native-software-orchestration", "modular-ai-mediated-living-codex", "ai-operable-construction-knowledge-infrastructure", "graph-native-ai-software-runtime", "seed-and-expansion-cognitive-infrastructure", "predictive-living-experience-mesh", "kinetic-habitat-cognition", "participatory-generative-art-infrastructure", "ecosystem-encoded-innovation-production", "movement-coupled-cognitive-work-environments", "embedding-native-visual-and-adaptive-language-artifacts", "adaptive-energy-mobility-civic-infrastructure-mesh", "conversational-graph-vector-knowledge-fabric", "functionality-first-living-code-ecosystem", "adaptive-modular-narrative-infrastructure", "evolutionary-diagram-to-code-feedback-loop", "anthropomorphic-forensic-debugging-loop", "decoupled-vision-market-for-ai-mediated-future-building", "adaptive-experiential-knowledge-landscapes", "functionality-driven-development-runtime-with-ai-managed-implementations", "epistemic-graph-development-with-signal-oriented-validation", "intent-driven-development-cockpit-with-semantic-control-surfaces", "attention-conditioned-generative-media-and-knowledge-systems", "intent-compiled-generative-infrastructure", "inverted-communication-model", "lifelong-students-and-surprise-optimization", "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "latent-multimodal-pattern-space-communication", "adaptive-perceptual-living-environments", "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "autonomous-declarative-work-orchestration-loop", "hybrid-games-art-games-and-strategy-abstraction", "distributed-optical-architecture-of-material-light-systems", "externalized-navigable-learning-systems", "reference-anchored-embedding-terrains-and-embodied-navigation-interfaces", "biological-geometry-and-emergent-structures", "stochastic-constraint-field-generative-systems-across-physical-tiles-diffusion-media-and-lottery-allocation", "living-spatial-knowledge-landscape-interfaces", "implementation-friction-collapse-orchestration-loop", "adaptive-embedding-text-knowledge-terrain", "intent-to-behavior-compilation-layer-for-software-systems", "inhabitable-embedding-cartography", "persistent-friction-as-system-rewriting", "cultivated-bio-circulatory-infrastructure", "deviation-native-regenerative-resilience", "embodied-maintenance-as-wellness-infrastructure", "post-car-choreographed-flow-city", "contribution-weighted-open-commons-allocation-and-attribution-infrastructure", "canine-centered-interspecies-urban-citizenship", "embedding-native-geometric-knowledge-navigation-and-semantic-field-manipulation", "fluid-access-habitat-and-logistics-grid", "ambient-programmable-body-space-infrastructure", "nature-guided-architecture-and-products", "pareidolic-responsive-environments", "cloud-movement-and-flexible-aerial-artwork", "navigable-embedding-visual-cognition-systems", "embedding-space-cognitive-navigation", "adaptive-volumetric-play-mobility-infrastructure", "position-aware-audio-installation", "suspended-furniture-movable-structures-and-chaotic-construction", "daos-for-complex-service-loops", "hoverboard-zipline-movement-system", "arrangement-as-substance-the-cord-emergence-demonstration", "pareidolia-cinema-begins", "adaptive-lifecycle-stewardship-economy", "semantic-reflex-network-for-code-systems", "information-gain-agriculture", "theme-parks-as-bounded-civilizational-experiments", "integrated-trust-and-feedback-dealership-operating-system", "compression-through-chaotic-structures", "probability-based-faster-than-light-communication", "pareidolic-card-and-grid-play-interfaces", "schema-contracted-synthetic-execution-graph", "sonic-spatial-augmentation-systems", "synthetic-company-operating-benchmark-commons", "real-time-logistics-for-personal-items-tools-and-materials", "graph-native-relational-computation-substrate", "forest-path-reservation", "pareidolia-vantage-points-in-cities", "debugging-through-observable-state-and-hidden-state-drift", "lacunar-code", "semantic-commit-memory", "uncertainty-preserving-playable-game-systems", "conceptography", "goal-linked-nfts-and-high-value-goods", "working-with-chaos-through-stable-attractor-regions", "graph-embedded-cellular-event-software", "recursive-residual-information-chemistry", "seed-reconstructive-information-chemistry", "graph-native-schema-bound-execution-fabric", "anchor-tension-mobility-networks", "wheelchair-first-architecture-and-infrastructure", "three-dimensional-go", "relational-provenance-token-economies", "logarithmic-learning", "velcro-like-reconfigurable-cord-or-mesh-physical-space", "pendulum-warehouse-and-vector-latch-logistics", "game-modding-as-prototyping", "pattern-based-animal-survival-navigation-indicators", "information-chemistry", "fractal-physical-connector-and-cable-power-interface", "mist-art-installation", "pendulum-cable-security", "information-fingerprinting", "centralized-local-food-systems" ], "role": "Dense threshold region", "title": "AI-Externalized Thought Flow" }, { "arms": [ { "caution": "The regular footprint is partly guaranteed by fixed out-degree.", "claim": "bounded navigational identity; membership does not claim that the sixth neighbor is absolutely close", "direct_edges": [ { "id": "ai-mediated-externalized-cognition-loop", "similarity": 0.8551723373977896 }, { "id": "continuous-externalized-ai-cognition-loop", "similarity": 0.8070255656264705 }, { "id": "ai-externalized-ideation-loop", "similarity": 0.768550192848335 }, { "id": "ai-externalized-thought-flow", "similarity": 0.7672435298421607 }, { "id": "recursive-ai-mediated-externalized-cognition-loop", "similarity": 0.7652412614014785 }, { "id": "thought-externalization", "similarity": 0.749072167200914 } ], "graph": "ranked", "id": "ranked-path", "label": "Nearest six · path product", "metrics": { "depth_counts": { "1": 6, "2": 5, "3": 6 }, "direct_degree": 6, "effective_node_count": 16.57206058265887, "field_mass": 10.546791553852584, "field_mass_per_concept": 0.057319519314416215, "reach_count": 18, "visible_count": 17, "weighted_world_radius": 0.11784979310600033 }, "nodes": [ { "branch_id": "persistent-ai-mediated-externalized-cognition-loop", "depth": 0, "id": "persistent-ai-mediated-externalized-cognition-loop", "parent_id": "", "path_count": 1, "path_product": 1.0, "strength": 1.0 }, { "branch_id": "ai-externalized-ideation-loop", "depth": 1, "id": "ai-externalized-ideation-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.768550192848335, "strength": 0.768550192848335 }, { "branch_id": "ai-externalized-thought-flow", "depth": 1, "id": "ai-externalized-thought-flow", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.7672435298421607, "strength": 0.7672435298421607 }, { "branch_id": "ai-mediated-externalized-cognition-loop", "depth": 1, "id": "ai-mediated-externalized-cognition-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.8551723373977896, "strength": 0.8551723373977896 }, { "branch_id": "continuous-externalized-ai-cognition-loop", "depth": 1, "id": "continuous-externalized-ai-cognition-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.8070255656264705, "strength": 0.8070255656264705 }, { "branch_id": "recursive-ai-mediated-externalized-cognition-loop", "depth": 1, "id": "recursive-ai-mediated-externalized-cognition-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.7652412614014785, "strength": 0.7652412614014785 }, { "branch_id": "thought-externalization", "depth": 1, "id": "thought-externalization", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.749072167200914, "strength": 0.749072167200914 }, { "branch_id": "ai-mediated-externalized-cognition-loop", "depth": 2, "id": "ai-first-externalized-cognitive-operating-system", "parent_id": "ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.6590708776610334, "strength": 0.6590708776610334 }, { "branch_id": "thought-externalization", "depth": 2, "id": "cognitive-offloading", "parent_id": "thought-externalization", "path_count": 1, "path_product": 0.5585843589975313, "strength": 0.5585843589975313 }, { "branch_id": "continuous-externalized-ai-cognition-loop", "depth": 2, "id": "continuous-externalized-cognitive-flow-loop", "parent_id": "continuous-externalized-ai-cognition-loop", "path_count": 1, "path_product": 0.635105696821324, "strength": 0.635105696821324 }, { "branch_id": "thought-externalization", "depth": 2, "id": "externalized-cognition", "parent_id": "thought-externalization", "path_count": 1, "path_product": 0.5725067621410311, "strength": 0.5725067621410311 }, { "branch_id": "continuous-externalized-ai-cognition-loop", "depth": 2, "id": "voice-ai-externalized-cognition-loop", "parent_id": "continuous-externalized-ai-cognition-loop", "path_count": 1, "path_product": 0.622531410617487, "strength": 0.622531410617487 }, { "branch_id": "ai-mediated-externalized-cognition-loop", "depth": 3, "id": "ai-orchestrated-personal-development-operating-system", "parent_id": "ai-first-externalized-cognitive-operating-system", "path_count": 1, "path_product": 0.4820085128012639, "strength": 0.4820085128012639 }, { "branch_id": "continuous-externalized-ai-cognition-loop", "depth": 3, "id": "conceptographic-externalized-cognition-infrastructure", "parent_id": "continuous-externalized-cognitive-flow-loop", "path_count": 1, "path_product": 0.4862206354880549, "strength": 0.4862206354880549 }, { "branch_id": "continuous-externalized-ai-cognition-loop", "depth": 3, "id": "continuous-externalized-thought-language-co-processing-loop", "parent_id": "continuous-externalized-cognitive-flow-loop", "path_count": 1, "path_product": 0.47903861793141156, "strength": 0.47903861793141156 }, { "branch_id": "thought-externalization", "depth": 3, "id": "cost-compressed-externalized-cognition-life-architecture", "parent_id": "cognitive-offloading", "path_count": 1, "path_product": 0.3943455207662608, "strength": 0.3943455207662608 }, { "branch_id": "continuous-externalized-ai-cognition-loop", "depth": 3, "id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "parent_id": "continuous-externalized-cognitive-flow-loop", "path_count": 1, "path_product": 0.4551841025037188, "strength": 0.4551841025037188 }, { "branch_id": "continuous-externalized-ai-cognition-loop", "depth": 3, "id": "voice-first-continuous-cognitive-offloading-layer", "parent_id": "voice-ai-externalized-cognition-loop", "path_count": 1, "path_product": 0.489890003806319, "strength": 0.489890003806319 } ], "score": "path-product", "status": "baseline", "visual_interpretation": "A medium-sized, evenly branched footprint whose fading is mostly a record of hop count." }, { "caution": "One cutoff can turn a continuous boundary into a hard cliff.", "claim": "absolute connectivity; concepts with no qualifying edge remain visibly isolated and dense regions may have more than six edges", "direct_edges": [ { "id": "ai-mediated-externalized-cognition-loop", "similarity": 0.855172 }, { "id": "continuous-externalized-ai-cognition-loop", "similarity": 0.807026 }, { "id": "ai-externalized-ideation-loop", "similarity": 0.76855 }, { "id": "ai-externalized-thought-flow", "similarity": 0.767244 }, { "id": "recursive-ai-mediated-externalized-cognition-loop", "similarity": 0.765241 }, { "id": "thought-externalization", "similarity": 0.749072 }, { "id": "continuous-externalized-cognitive-flow-loop", "similarity": 0.744899 }, { "id": "ai-first-externalized-cognitive-operating-system", "similarity": 0.734773 }, { "id": "voice-ai-externalized-cognition-loop", "similarity": 0.726082 }, { "id": "cost-compressed-externalized-cognition-life-architecture", "similarity": 0.711108 }, { "id": "ai-mediated-continuous-thought-capture-archive", "similarity": 0.708995 }, { "id": "parallel-externalized-conversational-cognition", "similarity": 0.700844 }, { "id": "externalized-cognition", "similarity": 0.698749 }, { "id": "continuous-externalized-thought-infrastructure", "similarity": 0.694993 }, { "id": "ai-mediated-cognitive-intimacy-and-collective-co-processing", "similarity": 0.687462 }, { "id": "cognitive-offloading", "similarity": 0.685876 }, { "id": "externalized-seed-and-scaffold-creativity-infrastructure", "similarity": 0.675273 }, { "id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "similarity": 0.674311 }, { "id": "self-directed-cognitive-scaffolding-with-hibernating-execution-layers", "similarity": 0.673619 }, { "id": "externalized-scratchpad-architecture-for-ai-native-development", "similarity": 0.67245 }, { "id": "externalized-divergence-convergence-cognitive-routing-ecology", "similarity": 0.665984 }, { "id": "voice-first-continuous-cognitive-offloading-layer", "similarity": 0.665168 }, { "id": "persistent-ai-mediated-conversational-routing-fabric", "similarity": 0.664682 }, { "id": "conceptographic-externalized-cognition-infrastructure", "similarity": 0.647111 }, { "id": "ai-mediated-cognitive-cartography", "similarity": 0.643793 }, { "id": "ai-orchestrated-personal-development-operating-system", "similarity": 0.643049 }, { "id": "continuous-externalized-thought-language-co-processing-loop", "similarity": 0.642894 }, { "id": "personalized-thought-materialization-room", "similarity": 0.63069 }, { "id": "recursive-ai-scaffolded-thought-and-workflow-construction", "similarity": 0.630038 }, { "id": "continuous-generative-production-distribution-stack-with-ai-co-execution-and-latent-creative-navigation", "similarity": 0.62869 }, { "id": "ai-mediated-living-knowledge-fabric", "similarity": 0.627826 }, { "id": "externalized-predictive-conversational-cognition", "similarity": 0.627148 }, { "id": "persistent-conversational-cognitive-infrastructure", "similarity": 0.624264 }, { "id": "ai-mediated-adaptive-creation-workshop-presentation-and-personal-manufacturing-loops", "similarity": 0.624074 }, { "id": "externalized-recursive-thought-archive", "similarity": 0.612159 }, { "id": "externalized-recursive-embedding-graph-knowledge-field", "similarity": 0.606488 }, { "id": "cognitive-responsive-city-infrastructure", "similarity": 0.604684 }, { "id": "ai-mediated-autopilot-labor-cognition", "similarity": 0.603205 } ], "graph": "absolute-threshold", "id": "absolute-threshold", "label": "Cosine ≥ 0.60 · path product", "metrics": { "depth_counts": { "1": 38, "2": 49, "3": 26 }, "direct_degree": 38, "effective_node_count": 107.07542904253269, "field_mass": 54.87121794097934, "field_mass_per_concept": 0.29821314098358337, "reach_count": 114, "visible_count": 113, "weighted_world_radius": 0.26632168614921126 }, "nodes": [ { "branch_id": "persistent-ai-mediated-externalized-cognition-loop", "depth": 0, "id": "persistent-ai-mediated-externalized-cognition-loop", "parent_id": "", "path_count": 1, "path_product": 1.0, "strength": 1.0 }, { "branch_id": "ai-externalized-ideation-loop", "depth": 1, "id": "ai-externalized-ideation-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.76855, "strength": 0.76855 }, { "branch_id": "ai-externalized-thought-flow", "depth": 1, "id": "ai-externalized-thought-flow", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.767244, "strength": 0.767244 }, { "branch_id": "ai-first-externalized-cognitive-operating-system", "depth": 1, "id": "ai-first-externalized-cognitive-operating-system", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.734773, "strength": 0.734773 }, { "branch_id": "ai-mediated-adaptive-creation-workshop-presentation-and-personal-manufacturing-loops", "depth": 1, "id": "ai-mediated-adaptive-creation-workshop-presentation-and-personal-manufacturing-loops", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.624074, "strength": 0.624074 }, { "branch_id": "ai-mediated-autopilot-labor-cognition", "depth": 1, "id": "ai-mediated-autopilot-labor-cognition", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.603205, "strength": 0.603205 }, { "branch_id": "ai-mediated-cognitive-cartography", "depth": 1, "id": "ai-mediated-cognitive-cartography", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.643793, "strength": 0.643793 }, { "branch_id": "ai-mediated-cognitive-intimacy-and-collective-co-processing", "depth": 1, "id": "ai-mediated-cognitive-intimacy-and-collective-co-processing", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.687462, "strength": 0.687462 }, { "branch_id": "ai-mediated-continuous-thought-capture-archive", "depth": 1, "id": "ai-mediated-continuous-thought-capture-archive", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.708995, "strength": 0.708995 }, { "branch_id": "ai-mediated-externalized-cognition-loop", "depth": 1, "id": "ai-mediated-externalized-cognition-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.855172, "strength": 0.855172 }, { "branch_id": "ai-mediated-living-knowledge-fabric", "depth": 1, "id": "ai-mediated-living-knowledge-fabric", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.627826, "strength": 0.627826 }, { "branch_id": "ai-orchestrated-personal-development-operating-system", "depth": 1, "id": "ai-orchestrated-personal-development-operating-system", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.643049, "strength": 0.643049 }, { "branch_id": "cognitive-offloading", "depth": 1, "id": "cognitive-offloading", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.685876, "strength": 0.685876 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 1, "id": "cognitive-responsive-city-infrastructure", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.604684, "strength": 0.604684 }, { "branch_id": "conceptographic-externalized-cognition-infrastructure", "depth": 1, "id": "conceptographic-externalized-cognition-infrastructure", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.647111, "strength": 0.647111 }, { "branch_id": "continuous-externalized-ai-cognition-loop", "depth": 1, "id": "continuous-externalized-ai-cognition-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.807026, "strength": 0.807026 }, { "branch_id": "continuous-externalized-cognitive-flow-loop", "depth": 1, "id": "continuous-externalized-cognitive-flow-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.744899, "strength": 0.744899 }, { "branch_id": "continuous-externalized-thought-infrastructure", "depth": 1, "id": "continuous-externalized-thought-infrastructure", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.694993, "strength": 0.694993 }, { "branch_id": "continuous-externalized-thought-language-co-processing-loop", "depth": 1, "id": "continuous-externalized-thought-language-co-processing-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.642894, "strength": 0.642894 }, { "branch_id": "continuous-generative-production-distribution-stack-with-ai-co-execution-and-latent-creative-navigation", "depth": 1, "id": "continuous-generative-production-distribution-stack-with-ai-co-execution-and-latent-creative-navigation", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.62869, "strength": 0.62869 }, { "branch_id": "cost-compressed-externalized-cognition-life-architecture", "depth": 1, "id": "cost-compressed-externalized-cognition-life-architecture", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.711108, "strength": 0.711108 }, { "branch_id": "externalized-cognition", "depth": 1, "id": "externalized-cognition", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.698749, "strength": 0.698749 }, { "branch_id": "externalized-divergence-convergence-cognitive-routing-ecology", "depth": 1, "id": "externalized-divergence-convergence-cognitive-routing-ecology", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.665984, "strength": 0.665984 }, { "branch_id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "depth": 1, "id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.674311, "strength": 0.674311 }, { "branch_id": "externalized-predictive-conversational-cognition", "depth": 1, "id": "externalized-predictive-conversational-cognition", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.627148, "strength": 0.627148 }, { "branch_id": "externalized-recursive-embedding-graph-knowledge-field", "depth": 1, "id": "externalized-recursive-embedding-graph-knowledge-field", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.606488, "strength": 0.606488 }, { "branch_id": "externalized-recursive-thought-archive", "depth": 1, "id": "externalized-recursive-thought-archive", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.612159, "strength": 0.612159 }, { "branch_id": "externalized-scratchpad-architecture-for-ai-native-development", "depth": 1, "id": "externalized-scratchpad-architecture-for-ai-native-development", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.67245, "strength": 0.67245 }, { "branch_id": "externalized-seed-and-scaffold-creativity-infrastructure", "depth": 1, "id": "externalized-seed-and-scaffold-creativity-infrastructure", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.675273, "strength": 0.675273 }, { "branch_id": "parallel-externalized-conversational-cognition", "depth": 1, "id": "parallel-externalized-conversational-cognition", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.700844, "strength": 0.700844 }, { "branch_id": "persistent-ai-mediated-conversational-routing-fabric", "depth": 1, "id": "persistent-ai-mediated-conversational-routing-fabric", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.664682, "strength": 0.664682 }, { "branch_id": "persistent-conversational-cognitive-infrastructure", "depth": 1, "id": "persistent-conversational-cognitive-infrastructure", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.624264, "strength": 0.624264 }, { "branch_id": "personalized-thought-materialization-room", "depth": 1, "id": "personalized-thought-materialization-room", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.63069, "strength": 0.63069 }, { "branch_id": "recursive-ai-mediated-externalized-cognition-loop", "depth": 1, "id": "recursive-ai-mediated-externalized-cognition-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.765241, "strength": 0.765241 }, { "branch_id": "recursive-ai-scaffolded-thought-and-workflow-construction", "depth": 1, "id": "recursive-ai-scaffolded-thought-and-workflow-construction", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.630038, "strength": 0.630038 }, { "branch_id": "self-directed-cognitive-scaffolding-with-hibernating-execution-layers", "depth": 1, "id": "self-directed-cognitive-scaffolding-with-hibernating-execution-layers", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.673619, "strength": 0.673619 }, { "branch_id": "thought-externalization", "depth": 1, "id": "thought-externalization", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.749072, "strength": 0.749072 }, { "branch_id": "voice-ai-externalized-cognition-loop", "depth": 1, "id": "voice-ai-externalized-cognition-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.726082, "strength": 0.726082 }, { "branch_id": "voice-first-continuous-cognitive-offloading-layer", "depth": 1, "id": "voice-first-continuous-cognitive-offloading-layer", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.665168, "strength": 0.665168 }, { "branch_id": "ai-mediated-externalized-cognition-loop", "depth": 2, "id": "adaptive-ai-mediated-visual-language", "parent_id": "ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.530130529692, "strength": 0.530130529692 }, { "branch_id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "depth": 2, "id": "adaptive-embedding-text-knowledge-terrain", "parent_id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "path_count": 1, "path_product": 0.42527446148000003, "strength": 0.42527446148000003 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 2, "id": "adaptive-energy-mobility-civic-infrastructure-mesh", "parent_id": "cognitive-responsive-city-infrastructure", "path_count": 1, "path_product": 0.37203848252399996, "strength": 0.37203848252399996 }, { "branch_id": "ai-mediated-cognitive-cartography", "depth": 2, "id": "adaptive-sonic-cognitive-encoding-and-navigable-music-ai-knowledge-systems", "parent_id": "ai-mediated-cognitive-cartography", "path_count": 1, "path_product": 0.40566877653899996, "strength": 0.40566877653899996 }, { "branch_id": "ai-orchestrated-personal-development-operating-system", "depth": 2, "id": "ai-gardened-pattern-field-agency", "parent_id": "ai-orchestrated-personal-development-operating-system", "path_count": 1, "path_product": 0.418041653557, "strength": 0.418041653557 }, { "branch_id": "ai-mediated-externalized-cognition-loop", "depth": 2, "id": "ai-mediated-seed-idea-ecology", "parent_id": "ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.517750204648, "strength": 0.517750204648 }, { "branch_id": "ai-externalized-thought-flow", "depth": 2, "id": "ai-mediated-spore-scale-idea-propagation", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.477844166664, "strength": 0.477844166664 }, { "branch_id": "ai-orchestrated-personal-development-operating-system", "depth": 2, "id": "ai-native-software-orchestration", "parent_id": "ai-orchestrated-personal-development-operating-system", "path_count": 1, "path_product": 0.42882365614, "strength": 0.42882365614 }, { "branch_id": "ai-first-externalized-cognitive-operating-system", "depth": 2, "id": "ai-operable-construction-knowledge-infrastructure", "parent_id": "ai-first-externalized-cognitive-operating-system", "path_count": 1, "path_product": 0.447581829539, "strength": 0.447581829539 }, { "branch_id": "ai-orchestrated-personal-development-operating-system", "depth": 2, "id": "ai-orchestrated-graph-and-quest-execution-system", "parent_id": "ai-orchestrated-personal-development-operating-system", "path_count": 1, "path_product": 0.429256428117, "strength": 0.429256428117 }, { "branch_id": "recursive-ai-mediated-externalized-cognition-loop", "depth": 2, "id": "ambient-relational-ai-and-artifact-scaffolds", "parent_id": "recursive-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.461272735221, "strength": 0.461272735221 }, { "branch_id": "ai-externalized-thought-flow", "depth": 2, "id": "ambiguity-controlled-ai-co-creation", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.479049506988, "strength": 0.479049506988 }, { "branch_id": "continuous-generative-production-distribution-stack-with-ai-co-execution-and-latent-creative-navigation", "depth": 2, "id": "attention-conditioned-generative-media-and-knowledge-systems", "parent_id": "continuous-generative-production-distribution-stack-with-ai-co-execution-and-latent-creative-navigation", "path_count": 1, "path_product": 0.38238560394, "strength": 0.38238560394 }, { "branch_id": "conceptographic-externalized-cognition-infrastructure", "depth": 2, "id": "conceptography", "parent_id": "conceptographic-externalized-cognition-infrastructure", "path_count": 1, "path_product": 0.400651010318, "strength": 0.400651010318 }, { "branch_id": "continuous-externalized-ai-cognition-loop", "depth": 2, "id": "conversation-compounded-ai-textbook-infrastructure", "parent_id": "continuous-externalized-ai-cognition-loop", "path_count": 1, "path_product": 0.49201712034199996, "strength": 0.49201712034199996 }, { "branch_id": "ai-mediated-continuous-thought-capture-archive", "depth": 2, "id": "conversational-co-adaptive-training-infrastructure", "parent_id": "ai-mediated-continuous-thought-capture-archive", "path_count": 1, "path_product": 0.45202472521500003, "strength": 0.45202472521500003 }, { "branch_id": "persistent-ai-mediated-conversational-routing-fabric", "depth": 2, "id": "conversational-code-fabric", "parent_id": "persistent-ai-mediated-conversational-routing-fabric", "path_count": 1, "path_product": 0.427667698394, "strength": 0.427667698394 }, { "branch_id": "persistent-ai-mediated-conversational-routing-fabric", "depth": 2, "id": "conversational-graph-orchestrated-ai-work-layer", "parent_id": "persistent-ai-mediated-conversational-routing-fabric", "path_count": 1, "path_product": 0.43960738116, "strength": 0.43960738116 }, { "branch_id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "depth": 2, "id": "conversational-graph-vector-knowledge-fabric", "parent_id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "path_count": 1, "path_product": 0.408099085999, "strength": 0.408099085999 }, { "branch_id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "depth": 2, "id": "curiosity-driven-threshold-cartography-narrative-engine", "parent_id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "path_count": 1, "path_product": 0.426768060345, "strength": 0.426768060345 }, { "branch_id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "depth": 2, "id": "embedding-native-geometric-knowledge-navigation-and-semantic-field-manipulation", "parent_id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "path_count": 1, "path_product": 0.461397976061, "strength": 0.461397976061 }, { "branch_id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "depth": 2, "id": "embedding-space-cognitive-navigation", "parent_id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "path_count": 1, "path_product": 0.45126847621899996, "strength": 0.45126847621899996 }, { "branch_id": "continuous-generative-production-distribution-stack-with-ai-co-execution-and-latent-creative-navigation", "depth": 2, "id": "embodied-generative-spatial-music-systems", "parent_id": "continuous-generative-production-distribution-stack-with-ai-co-execution-and-latent-creative-navigation", "path_count": 1, "path_product": 0.39717993702, "strength": 0.39717993702 }, { "branch_id": "ai-mediated-externalized-cognition-loop", "depth": 2, "id": "endosymbiotic-ai-human-infrastructure", "parent_id": "ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.542466385792, "strength": 0.542466385792 }, { "branch_id": "ai-mediated-living-knowledge-fabric", "depth": 2, "id": "epistemic-graph-development-with-signal-oriented-validation", "parent_id": "ai-mediated-living-knowledge-fabric", "path_count": 1, "path_product": 0.38884152179599996, "strength": 0.38884152179599996 }, { "branch_id": "recursive-ai-scaffolded-thought-and-workflow-construction", "depth": 2, "id": "evolutionary-diagram-to-code-feedback-loop", "parent_id": "recursive-ai-scaffolded-thought-and-workflow-construction", "path_count": 1, "path_product": 0.41082887866, "strength": 0.41082887866 }, { "branch_id": "continuous-externalized-cognitive-flow-loop", "depth": 2, "id": "externalized-fractal-cognitive-cartography", "parent_id": "continuous-externalized-cognitive-flow-loop", "path_count": 1, "path_product": 0.48899639754, "strength": 0.48899639754 }, { "branch_id": "continuous-externalized-ai-cognition-loop", "depth": 2, "id": "externalized-seed-stream-knowledge-graph-production-infrastructure", "parent_id": "continuous-externalized-ai-cognition-loop", "path_count": 1, "path_product": 0.523433835496, "strength": 0.523433835496 }, { "branch_id": "externalized-divergence-convergence-cognitive-routing-ecology", "depth": 2, "id": "flow-routed-energy-work-architecture", "parent_id": "externalized-divergence-convergence-cognitive-routing-ecology", "path_count": 1, "path_product": 0.40198927436799997, "strength": 0.40198927436799997 }, { "branch_id": "ai-externalized-thought-flow", "depth": 2, "id": "human-ai-communication-optimized-across-cycles", "parent_id": "ai-externalized-thought-flow", "path_count": 1, "path_product": 0.462000578064, "strength": 0.462000578064 }, { "branch_id": "ai-mediated-cognitive-cartography", "depth": 2, "id": "inhabitable-embedding-cartography", "parent_id": "ai-mediated-cognitive-cartography", "path_count": 1, "path_product": 0.41091504569599996, "strength": 0.41091504569599996 }, { "branch_id": "ai-mediated-continuous-thought-capture-archive", "depth": 2, "id": "intent-driven-adaptive-communication-and-research-mediation-infrastructure", "parent_id": "ai-mediated-continuous-thought-capture-archive", "path_count": 1, "path_product": 0.44024760927, "strength": 0.44024760927 }, { "branch_id": "ai-orchestrated-personal-development-operating-system", "depth": 2, "id": "intent-driven-ai-orchestration-system", "parent_id": "ai-orchestrated-personal-development-operating-system", "path_count": 1, "path_product": 0.418369608547, "strength": 0.418369608547 }, { "branch_id": "ai-orchestrated-personal-development-operating-system", "depth": 2, "id": "intent-driven-development-cockpit-with-semantic-control-surfaces", "parent_id": "ai-orchestrated-personal-development-operating-system", "path_count": 1, "path_product": 0.391476013269, "strength": 0.391476013269 }, { "branch_id": "ai-mediated-externalized-cognition-loop", "depth": 2, "id": "intent-to-architecture-human-ai-development-split", "parent_id": "ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.513735172108, "strength": 0.513735172108 }, { "branch_id": "continuous-generative-production-distribution-stack-with-ai-co-execution-and-latent-creative-navigation", "depth": 2, "id": "latent-multimodal-pattern-space-communication", "parent_id": "continuous-generative-production-distribution-stack-with-ai-co-execution-and-latent-creative-navigation", "path_count": 1, "path_product": 0.38148029034000003, "strength": 0.38148029034000003 }, { "branch_id": "ai-mediated-continuous-thought-capture-archive", "depth": 2, "id": "modular-ai-mediated-living-codex", "parent_id": "ai-mediated-continuous-thought-capture-archive", "path_count": 1, "path_product": 0.42560119056000006, "strength": 0.42560119056000006 }, { "branch_id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "depth": 2, "id": "navigable-embedding-visual-cognition-systems", "parent_id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "path_count": 1, "path_product": 0.44434060500499994, "strength": 0.44434060500499994 }, { "branch_id": "parallel-externalized-conversational-cognition", "depth": 2, "id": "parallel-co-exploratory-creative-system", "parent_id": "parallel-externalized-conversational-cognition", "path_count": 1, "path_product": 0.448449751124, "strength": 0.448449751124 }, { "branch_id": "continuous-generative-production-distribution-stack-with-ai-co-execution-and-latent-creative-navigation", "depth": 2, "id": "participatory-generative-art-infrastructure", "parent_id": "continuous-generative-production-distribution-stack-with-ai-co-execution-and-latent-creative-navigation", "path_count": 1, "path_product": 0.37835130021, "strength": 0.37835130021 }, { "branch_id": "recursive-ai-scaffolded-thought-and-workflow-construction", "depth": 2, "id": "personal-use-tinkering-software-as-exploratory-craft", "parent_id": "recursive-ai-scaffolded-thought-and-workflow-construction", "path_count": 1, "path_product": 0.39678218145, "strength": 0.39678218145 }, { "branch_id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "depth": 2, "id": "possibility-space-cognitive-mesh", "parent_id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "path_count": 1, "path_product": 0.405717419547, "strength": 0.405717419547 }, { "branch_id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "depth": 2, "id": "reference-anchored-embedding-terrains-and-embodied-navigation-interfaces", "parent_id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "path_count": 1, "path_product": 0.440335197665, "strength": 0.440335197665 }, { "branch_id": "externalized-seed-and-scaffold-creativity-infrastructure", "depth": 2, "id": "seed-and-expansion-cognitive-infrastructure", "parent_id": "externalized-seed-and-scaffold-creativity-infrastructure", "path_count": 1, "path_product": 0.46125265065300003, "strength": 0.46125265065300003 }, { "branch_id": "recursive-ai-mediated-externalized-cognition-loop", "depth": 2, "id": "seed-expanded-human-ai-co-reasoning", "parent_id": "recursive-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.500939002456, "strength": 0.500939002456 }, { "branch_id": "externalized-seed-and-scaffold-creativity-infrastructure", "depth": 2, "id": "seed-stream-externalized-ideation", "parent_id": "externalized-seed-and-scaffold-creativity-infrastructure", "path_count": 1, "path_product": 0.502048593675, "strength": 0.502048593675 }, { "branch_id": "externalized-divergence-convergence-cognitive-routing-ecology", "depth": 2, "id": "self-directed-exploration-and-role-separation", "parent_id": "externalized-divergence-convergence-cognitive-routing-ecology", "path_count": 1, "path_product": 0.405168016, "strength": 0.405168016 }, { "branch_id": "persistent-ai-mediated-conversational-routing-fabric", "depth": 2, "id": "semantic-graph-coordination-for-human-ai-contribution-systems", "parent_id": "persistent-ai-mediated-conversational-routing-fabric", "path_count": 1, "path_product": 0.40298672637, "strength": 0.40298672637 }, { "branch_id": "continuous-generative-production-distribution-stack-with-ai-co-execution-and-latent-creative-navigation", "depth": 2, "id": "stochastic-constraint-field-generative-systems-across-physical-tiles-diffusion-media-and-lottery-allocation", "parent_id": "continuous-generative-production-distribution-stack-with-ai-co-execution-and-latent-creative-navigation", "path_count": 1, "path_product": 0.39374163140999996, "strength": 0.39374163140999996 }, { "branch_id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "depth": 3, "id": "adaptive-experiential-knowledge-landscapes", "parent_id": "adaptive-embedding-text-knowledge-terrain", "path_count": 1, "path_product": 0.2854829185213707, "strength": 0.2854829185213707 }, { "branch_id": "ai-mediated-externalized-cognition-loop", "depth": 3, "id": "adaptive-food-abundance-infrastructure", "parent_id": "endosymbiotic-ai-human-infrastructure", "path_count": 1, "path_product": 0.3323762066377737, "strength": 0.3323762066377737 }, { "branch_id": "ai-mediated-continuous-thought-capture-archive", "depth": 3, "id": "adaptive-modular-narrative-infrastructure", "parent_id": "modular-ai-mediated-living-codex", "path_count": 1, "path_product": 0.2597759010868695, "strength": 0.2597759010868695 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "adaptive-volumetric-play-mobility-infrastructure", "parent_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "path_count": 1, "path_product": 0.2537540555442495, "strength": 0.2537540555442495 }, { "branch_id": "ai-externalized-thought-flow", "depth": 3, "id": "ai-mediated-understanding-transfer-network", "parent_id": "human-ai-communication-optimized-across-cycles", "path_count": 1, "path_product": 0.2807619092946954, "strength": 0.2807619092946954 }, { "branch_id": "ai-mediated-externalized-cognition-loop", "depth": 3, "id": "bio-digital-symbiotic-evolutionary-infrastructure", "parent_id": "endosymbiotic-ai-human-infrastructure", "path_count": 1, "path_product": 0.36613171996006666, "strength": 0.36613171996006666 }, { "branch_id": "continuous-generative-production-distribution-stack-with-ai-co-execution-and-latent-creative-navigation", "depth": 3, "id": "biological-geometry-and-emergent-structures", "parent_id": "embodied-generative-spatial-music-systems", "path_count": 1, "path_product": 0.24092061183771754, "strength": 0.24092061183771754 }, { "branch_id": "ai-mediated-externalized-cognition-loop", "depth": 3, "id": "embedding-native-visual-and-adaptive-language-artifacts", "parent_id": "adaptive-ai-mediated-visual-language", "path_count": 1, "path_product": 0.36324384855336933, "strength": 0.36324384855336933 }, { "branch_id": "ai-mediated-externalized-cognition-loop", "depth": 3, "id": "embodied-intent-collapse-input-systems", "parent_id": "intent-to-architecture-human-ai-development-split", "path_count": 1, "path_product": 0.335007733201971, "strength": 0.335007733201971 }, { "branch_id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "depth": 3, "id": "externalized-navigable-learning-systems", "parent_id": "embedding-space-cognitive-navigation", "path_count": 1, "path_product": 0.3070168976477869, "strength": 0.3070168976477869 }, { "branch_id": "persistent-ai-mediated-conversational-routing-fabric", "depth": 3, "id": "functionality-first-living-code-ecosystem", "parent_id": "conversational-code-fabric", "path_count": 1, "path_product": 0.26233521520416514, "strength": 0.26233521520416514 }, { "branch_id": "ai-orchestrated-personal-development-operating-system", "depth": 3, "id": "graph-native-ai-software-runtime", "parent_id": "ai-native-software-orchestration", "path_count": 1, "path_product": 0.2997460203472354, "strength": 0.2997460203472354 }, { "branch_id": "persistent-ai-mediated-conversational-routing-fabric", "depth": 3, "id": "graph-native-relational-computation-substrate", "parent_id": "semantic-graph-coordination-for-human-ai-contribution-systems", "path_count": 1, "path_product": 0.2582887004526823, "strength": 0.2582887004526823 }, { "branch_id": "ai-mediated-externalized-cognition-loop", "depth": 3, "id": "intent-driven-ambient-spatial-execution-and-toolspace-layer", "parent_id": "intent-to-architecture-human-ai-development-split", "path_count": 1, "path_product": 0.3110342813955512, "strength": 0.3110342813955512 }, { "branch_id": "ai-mediated-externalized-cognition-loop", "depth": 3, "id": "intent-structured-attention-and-experience-infrastructure", "parent_id": "intent-to-architecture-human-ai-development-split", "path_count": 1, "path_product": 0.32343122483368936, "strength": 0.32343122483368936 }, { "branch_id": "ai-orchestrated-personal-development-operating-system", "depth": 3, "id": "intent-to-behavior-compilation-layer-for-software-systems", "parent_id": "intent-driven-ai-orchestration-system", "path_count": 1, "path_product": 0.2665248693425176, "strength": 0.2665248693425176 }, { "branch_id": "ai-mediated-externalized-cognition-loop", "depth": 3, "id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "parent_id": "endosymbiotic-ai-human-infrastructure", "path_count": 1, "path_product": 0.34254148424113, "strength": 0.34254148424113 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "parent_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "path_count": 1, "path_product": 0.2583825863053306, "strength": 0.2583825863053306 }, { "branch_id": "continuous-generative-production-distribution-stack-with-ai-co-execution-and-latent-creative-navigation", "depth": 3, "id": "position-aware-audio-installation", "parent_id": "embodied-generative-spatial-music-systems", "path_count": 1, "path_product": 0.24059532146929818, "strength": 0.24059532146929818 }, { "branch_id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "depth": 3, "id": "predictive-living-experience-mesh", "parent_id": "possibility-space-cognitive-mesh", "path_count": 1, "path_product": 0.24809376774847322, "strength": 0.24809376774847322 }, { "branch_id": "continuous-generative-production-distribution-stack-with-ai-co-execution-and-latent-creative-navigation", "depth": 3, "id": "probability-based-faster-than-light-communication", "parent_id": "latent-multimodal-pattern-space-communication", "path_count": 1, "path_product": 0.23681953092045896, "strength": 0.23681953092045896 }, { "branch_id": "cognitive-responsive-city-infrastructure", "depth": 3, "id": "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "parent_id": "adaptive-energy-mobility-civic-infrastructure-mesh", "path_count": 1, "path_product": 0.24876539153208518, "strength": 0.24876539153208518 }, { "branch_id": "persistent-ai-mediated-conversational-routing-fabric", "depth": 3, "id": "semantic-commit-memory", "parent_id": "semantic-graph-coordination-for-human-ai-contribution-systems", "path_count": 1, "path_product": 0.24775986625281335, "strength": 0.24775986625281335 }, { "branch_id": "ai-mediated-externalized-cognition-loop", "depth": 3, "id": "sketch-and-handwriting-native-intent-interface-for-generative-co-creation", "parent_id": "intent-to-architecture-human-ai-development-split", "path_count": 1, "path_product": 0.32863741706783184, "strength": 0.32863741706783184 }, { "branch_id": "ai-mediated-cognitive-cartography", "depth": 3, "id": "sonic-spatial-augmentation-systems", "parent_id": "adaptive-sonic-cognitive-encoding-and-navigable-music-ai-knowledge-systems", "path_count": 1, "path_product": 0.2470173973974686, "strength": 0.2470173973974686 }, { "branch_id": "ai-mediated-externalized-cognition-loop", "depth": 3, "id": "split-brain-ai-system", "parent_id": "intent-to-architecture-human-ai-development-split", "path_count": 1, "path_product": 0.3207926809897427, "strength": 0.3207926809897427 } ], "score": "path-product", "status": "keep", "threshold": 0.6, "visual_interpretation": "Either a blank field or a saturated component: the visual bifurcation is the evidence this lens contributes." }, { "caution": "Reciprocity can reject a real relation near a dense hub.", "claim": "Keep a ranked edge only when both endpoints choose each other.", "direct_edges": [ { "id": "ai-mediated-externalized-cognition-loop", "similarity": 0.8551723373977896 }, { "id": "continuous-externalized-ai-cognition-loop", "similarity": 0.8070255656264705 }, { "id": "ai-externalized-ideation-loop", "similarity": 0.768550192848335 }, { "id": "ai-externalized-thought-flow", "similarity": 0.7672435298421607 }, { "id": "recursive-ai-mediated-externalized-cognition-loop", "similarity": 0.7652412614014785 }, { "id": "thought-externalization", "similarity": 0.749072167200914 } ], "graph": "mutual-ranked", "id": "mutual-ranked-path", "label": "Mutual nearest", "metrics": { "depth_counts": { "1": 6, "2": 5, "3": 6 }, "direct_degree": 6, "effective_node_count": 16.57206058265887, "field_mass": 10.546791553852584, "field_mass_per_concept": 0.057319519314416215, "reach_count": 18, "visible_count": 17, "weighted_world_radius": 0.11784979310600033 }, "nodes": [ { "branch_id": "persistent-ai-mediated-externalized-cognition-loop", "depth": 0, "id": "persistent-ai-mediated-externalized-cognition-loop", "parent_id": "", "path_count": 1, "path_product": 1.0, "strength": 1.0 }, { "branch_id": "ai-externalized-ideation-loop", "depth": 1, "id": "ai-externalized-ideation-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.768550192848335, "strength": 0.768550192848335 }, { "branch_id": "ai-externalized-thought-flow", "depth": 1, "id": "ai-externalized-thought-flow", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.7672435298421607, "strength": 0.7672435298421607 }, { "branch_id": "ai-mediated-externalized-cognition-loop", "depth": 1, "id": "ai-mediated-externalized-cognition-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.8551723373977896, "strength": 0.8551723373977896 }, { "branch_id": "continuous-externalized-ai-cognition-loop", "depth": 1, "id": "continuous-externalized-ai-cognition-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.8070255656264705, "strength": 0.8070255656264705 }, { "branch_id": "recursive-ai-mediated-externalized-cognition-loop", "depth": 1, "id": "recursive-ai-mediated-externalized-cognition-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.7652412614014785, "strength": 0.7652412614014785 }, { "branch_id": "thought-externalization", "depth": 1, "id": "thought-externalization", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.749072167200914, "strength": 0.749072167200914 }, { "branch_id": "ai-mediated-externalized-cognition-loop", "depth": 2, "id": "ai-first-externalized-cognitive-operating-system", "parent_id": "ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.6590708776610334, "strength": 0.6590708776610334 }, { "branch_id": "thought-externalization", "depth": 2, "id": "cognitive-offloading", "parent_id": "thought-externalization", "path_count": 1, "path_product": 0.5585843589975313, "strength": 0.5585843589975313 }, { "branch_id": "continuous-externalized-ai-cognition-loop", "depth": 2, "id": "continuous-externalized-cognitive-flow-loop", "parent_id": "continuous-externalized-ai-cognition-loop", "path_count": 1, "path_product": 0.635105696821324, "strength": 0.635105696821324 }, { "branch_id": "thought-externalization", "depth": 2, "id": "externalized-cognition", "parent_id": "thought-externalization", "path_count": 1, "path_product": 0.5725067621410311, "strength": 0.5725067621410311 }, { "branch_id": "continuous-externalized-ai-cognition-loop", "depth": 2, "id": "voice-ai-externalized-cognition-loop", "parent_id": "continuous-externalized-ai-cognition-loop", "path_count": 1, "path_product": 0.622531410617487, "strength": 0.622531410617487 }, { "branch_id": "ai-mediated-externalized-cognition-loop", "depth": 3, "id": "ai-orchestrated-personal-development-operating-system", "parent_id": "ai-first-externalized-cognitive-operating-system", "path_count": 1, "path_product": 0.4820085128012639, "strength": 0.4820085128012639 }, { "branch_id": "continuous-externalized-ai-cognition-loop", "depth": 3, "id": "conceptographic-externalized-cognition-infrastructure", "parent_id": "continuous-externalized-cognitive-flow-loop", "path_count": 1, "path_product": 0.4862206354880549, "strength": 0.4862206354880549 }, { "branch_id": "continuous-externalized-ai-cognition-loop", "depth": 3, "id": "continuous-externalized-thought-language-co-processing-loop", "parent_id": "continuous-externalized-cognitive-flow-loop", "path_count": 1, "path_product": 0.47903861793141156, "strength": 0.47903861793141156 }, { "branch_id": "thought-externalization", "depth": 3, "id": "cost-compressed-externalized-cognition-life-architecture", "parent_id": "cognitive-offloading", "path_count": 1, "path_product": 0.3943455207662608, "strength": 0.3943455207662608 }, { "branch_id": "continuous-externalized-ai-cognition-loop", "depth": 3, "id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "parent_id": "continuous-externalized-cognitive-flow-loop", "path_count": 1, "path_product": 0.4551841025037188, "strength": 0.4551841025037188 }, { "branch_id": "continuous-externalized-ai-cognition-loop", "depth": 3, "id": "voice-first-continuous-cognitive-offloading-layer", "parent_id": "voice-ai-externalized-cognition-loop", "path_count": 1, "path_product": 0.489890003806319, "strength": 0.489890003806319 } ], "score": "path-product", "status": "candidate", "visual_interpretation": "Small reciprocal islands with fewer one-way spokes and visibly harder boundaries." }, { "caution": "Fading says direct root affinity, not path unreliability.", "claim": "bounded reach membership with intensity set by each reached concept's direct cosine similarity to the selected origin", "direct_edges": [ { "id": "ai-mediated-externalized-cognition-loop", "similarity": 0.8551723373977896 }, { "id": "continuous-externalized-ai-cognition-loop", "similarity": 0.8070255656264705 }, { "id": "ai-externalized-ideation-loop", "similarity": 0.768550192848335 }, { "id": "ai-externalized-thought-flow", "similarity": 0.7672435298421607 }, { "id": "recursive-ai-mediated-externalized-cognition-loop", "similarity": 0.7652412614014785 }, { "id": "thought-externalization", "similarity": 0.749072167200914 } ], "graph": "ranked", "id": "origin-affinity", "label": "Nearest-six reach · origin affinity", "metrics": { "depth_counts": { "1": 6, "2": 5, "3": 6 }, "direct_degree": 6, "effective_node_count": 16.798792619603287, "field_mass": 12.662306000000001, "field_mass_per_concept": 0.06881688043478261, "reach_count": 18, "visible_count": 17, "weighted_world_radius": 0.12035771592232165 }, "nodes": [ { "branch_id": "persistent-ai-mediated-externalized-cognition-loop", "depth": 0, "id": "persistent-ai-mediated-externalized-cognition-loop", "parent_id": "", "path_count": 1, "path_product": 1.0, "strength": 1.0 }, { "branch_id": "ai-externalized-ideation-loop", "depth": 1, "id": "ai-externalized-ideation-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.768550192848335, "strength": 0.8371 }, { "branch_id": "ai-externalized-thought-flow", "depth": 1, "id": "ai-externalized-thought-flow", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.7672435298421607, "strength": 0.8344880000000001 }, { "branch_id": "ai-mediated-externalized-cognition-loop", "depth": 1, "id": "ai-mediated-externalized-cognition-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.8551723373977896, "strength": 1.0 }, { "branch_id": "continuous-externalized-ai-cognition-loop", "depth": 1, "id": "continuous-externalized-ai-cognition-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.8070255656264705, "strength": 0.9140520000000001 }, { "branch_id": "recursive-ai-mediated-externalized-cognition-loop", "depth": 1, "id": "recursive-ai-mediated-externalized-cognition-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.7652412614014785, "strength": 0.8304819999999999 }, { "branch_id": "thought-externalization", "depth": 1, "id": "thought-externalization", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.749072167200914, "strength": 0.798144 }, { "branch_id": "ai-mediated-externalized-cognition-loop", "depth": 2, "id": "ai-first-externalized-cognitive-operating-system", "parent_id": "ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.6590708776610334, "strength": 0.7695460000000001 }, { "branch_id": "thought-externalization", "depth": 2, "id": "cognitive-offloading", "parent_id": "thought-externalization", "path_count": 1, "path_product": 0.5585843589975313, "strength": 0.6717520000000001 }, { "branch_id": "continuous-externalized-ai-cognition-loop", "depth": 2, "id": "continuous-externalized-cognitive-flow-loop", "parent_id": "continuous-externalized-ai-cognition-loop", "path_count": 1, "path_product": 0.635105696821324, "strength": 0.789798 }, { "branch_id": "thought-externalization", "depth": 2, "id": "externalized-cognition", "parent_id": "thought-externalization", "path_count": 1, "path_product": 0.5725067621410311, "strength": 0.697498 }, { "branch_id": "continuous-externalized-ai-cognition-loop", "depth": 2, "id": "voice-ai-externalized-cognition-loop", "parent_id": "continuous-externalized-ai-cognition-loop", "path_count": 1, "path_product": 0.622531410617487, "strength": 0.752164 }, { "branch_id": "ai-mediated-externalized-cognition-loop", "depth": 3, "id": "ai-orchestrated-personal-development-operating-system", "parent_id": "ai-first-externalized-cognitive-operating-system", "path_count": 1, "path_product": 0.4820085128012639, "strength": 0.586098 }, { "branch_id": "continuous-externalized-ai-cognition-loop", "depth": 3, "id": "conceptographic-externalized-cognition-infrastructure", "parent_id": "continuous-externalized-cognitive-flow-loop", "path_count": 1, "path_product": 0.4862206354880549, "strength": 0.594222 }, { "branch_id": "continuous-externalized-ai-cognition-loop", "depth": 3, "id": "continuous-externalized-thought-language-co-processing-loop", "parent_id": "continuous-externalized-cognitive-flow-loop", "path_count": 1, "path_product": 0.47903861793141156, "strength": 0.585788 }, { "branch_id": "thought-externalization", "depth": 3, "id": "cost-compressed-externalized-cognition-life-architecture", "parent_id": "cognitive-offloading", "path_count": 1, "path_product": 0.3943455207662608, "strength": 0.722216 }, { "branch_id": "continuous-externalized-ai-cognition-loop", "depth": 3, "id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "parent_id": "continuous-externalized-cognitive-flow-loop", "path_count": 1, "path_product": 0.4551841025037188, "strength": 0.648622 }, { "branch_id": "continuous-externalized-ai-cognition-loop", "depth": 3, "id": "voice-first-continuous-cognitive-offloading-layer", "parent_id": "voice-ai-externalized-cognition-loop", "path_count": 1, "path_product": 0.489890003806319, "strength": 0.630336 } ], "score": "origin-affinity", "status": "keep", "visual_interpretation": "A bounded footprint with distant-in-meaning members fading out even when the traversal can still reach them." }, { "caution": "A mean can conceal a single weak bridge.", "claim": "bounded reach membership with intensity set by the candidate's mean cosine similarity to every earlier concept on its chosen path", "direct_edges": [ { "id": "ai-mediated-externalized-cognition-loop", "similarity": 0.8551723373977896 }, { "id": "continuous-externalized-ai-cognition-loop", "similarity": 0.8070255656264705 }, { "id": "ai-externalized-ideation-loop", "similarity": 0.768550192848335 }, { "id": "ai-externalized-thought-flow", "similarity": 0.7672435298421607 }, { "id": "recursive-ai-mediated-externalized-cognition-loop", "similarity": 0.7652412614014785 }, { "id": "thought-externalization", "similarity": 0.749072167200914 } ], "graph": "ranked", "id": "path-cohesion", "label": "Nearest-six reach · path cohesion", "metrics": { "depth_counts": { "1": 6, "2": 5, "3": 6 }, "direct_degree": 6, "effective_node_count": 16.894625411707636, "field_mass": 13.292762666666667, "field_mass_per_concept": 0.07224327536231884, "reach_count": 18, "visible_count": 17, "weighted_world_radius": 0.12152940874553478 }, "nodes": [ { "branch_id": "persistent-ai-mediated-externalized-cognition-loop", "depth": 0, "id": "persistent-ai-mediated-externalized-cognition-loop", "parent_id": "", "path_count": 1, "path_product": 1.0, "strength": 1.0 }, { "branch_id": "ai-externalized-ideation-loop", "depth": 1, "id": "ai-externalized-ideation-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.768550192848335, "strength": 0.8371 }, { "branch_id": "ai-externalized-thought-flow", "depth": 1, "id": "ai-externalized-thought-flow", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.7672435298421607, "strength": 0.8344880000000001 }, { "branch_id": "ai-mediated-externalized-cognition-loop", "depth": 1, "id": "ai-mediated-externalized-cognition-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.8551723373977896, "strength": 1.0 }, { "branch_id": "continuous-externalized-ai-cognition-loop", "depth": 1, "id": "continuous-externalized-ai-cognition-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.8070255656264705, "strength": 0.9140520000000001 }, { "branch_id": "recursive-ai-mediated-externalized-cognition-loop", "depth": 1, "id": "recursive-ai-mediated-externalized-cognition-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.7652412614014785, "strength": 0.8304819999999999 }, { "branch_id": "thought-externalization", "depth": 1, "id": "thought-externalization", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.749072167200914, "strength": 0.798144 }, { "branch_id": "ai-mediated-externalized-cognition-loop", "depth": 2, "id": "ai-first-externalized-cognitive-operating-system", "parent_id": "ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.6590708776610334, "strength": 0.805461 }, { "branch_id": "thought-externalization", "depth": 2, "id": "cognitive-offloading", "parent_id": "thought-externalization", "path_count": 1, "path_product": 0.5585843589975313, "strength": 0.7315780000000001 }, { "branch_id": "continuous-externalized-ai-cognition-loop", "depth": 2, "id": "continuous-externalized-cognitive-flow-loop", "parent_id": "continuous-externalized-ai-cognition-loop", "path_count": 1, "path_product": 0.635105696821324, "strength": 0.8318700000000001 }, { "branch_id": "thought-externalization", "depth": 2, "id": "externalized-cognition", "parent_id": "thought-externalization", "path_count": 1, "path_product": 0.5725067621410311, "strength": 0.763037 }, { "branch_id": "continuous-externalized-ai-cognition-loop", "depth": 2, "id": "voice-ai-externalized-cognition-loop", "parent_id": "continuous-externalized-ai-cognition-loop", "path_count": 1, "path_product": 0.622531410617487, "strength": 0.7974720000000002 }, { "branch_id": "ai-mediated-externalized-cognition-loop", "depth": 3, "id": "ai-orchestrated-personal-development-operating-system", "parent_id": "ai-first-externalized-cognitive-operating-system", "path_count": 1, "path_product": 0.4820085128012639, "strength": 0.6443906666666668 }, { "branch_id": "continuous-externalized-ai-cognition-loop", "depth": 3, "id": "conceptographic-externalized-cognition-infrastructure", "parent_id": "continuous-externalized-cognitive-flow-loop", "path_count": 1, "path_product": 0.4862206354880549, "strength": 0.6936706666666668 }, { "branch_id": "continuous-externalized-ai-cognition-loop", "depth": 3, "id": "continuous-externalized-thought-language-co-processing-loop", "parent_id": "continuous-externalized-cognitive-flow-loop", "path_count": 1, "path_product": 0.47903861793141156, "strength": 0.7083506666666666 }, { "branch_id": "thought-externalization", "depth": 3, "id": "cost-compressed-externalized-cognition-life-architecture", "parent_id": "cognitive-offloading", "path_count": 1, "path_product": 0.3943455207662608, "strength": 0.6982953333333335 }, { "branch_id": "continuous-externalized-ai-cognition-loop", "depth": 3, "id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "parent_id": "continuous-externalized-cognitive-flow-loop", "path_count": 1, "path_product": 0.4551841025037188, "strength": 0.6895953333333333 }, { "branch_id": "continuous-externalized-ai-cognition-loop", "depth": 3, "id": "voice-first-continuous-cognitive-offloading-layer", "parent_id": "voice-ai-externalized-cognition-loop", "path_count": 1, "path_product": 0.489890003806319, "strength": 0.7147759999999999 } ], "score": "path-cohesion", "status": "experimental", "visual_interpretation": "Broad, comparatively even halos because a candidate can agree with the route context despite weak direct origin affinity." }, { "caution": "One noisy edge can suppress an otherwise coherent route.", "claim": "Let the weakest edge cap every selected route.", "direct_edges": [ { "id": "ai-mediated-externalized-cognition-loop", "similarity": 0.8551723373977896 }, { "id": "continuous-externalized-ai-cognition-loop", "similarity": 0.8070255656264705 }, { "id": "ai-externalized-ideation-loop", "similarity": 0.768550192848335 }, { "id": "ai-externalized-thought-flow", "similarity": 0.7672435298421607 }, { "id": "recursive-ai-mediated-externalized-cognition-loop", "similarity": 0.7652412614014785 }, { "id": "thought-externalization", "similarity": 0.749072167200914 } ], "graph": "ranked", "id": "ranked-bottleneck", "label": "Weakest-link path", "metrics": { "depth_counts": { "1": 6, "2": 5, "3": 6 }, "direct_degree": 6, "effective_node_count": 16.949623686150318, "field_mass": 14.052420343372745, "field_mass_per_concept": 0.07637184969224318, "reach_count": 18, "visible_count": 17, "weighted_world_radius": 0.12297126174265637 }, "nodes": [ { "branch_id": "persistent-ai-mediated-externalized-cognition-loop", "depth": 0, "id": "persistent-ai-mediated-externalized-cognition-loop", "parent_id": "", "path_count": 1, "path_product": 1.0, "strength": 1.0 }, { "branch_id": "ai-externalized-ideation-loop", "depth": 1, "id": "ai-externalized-ideation-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.768550192848335, "strength": 0.8371003856966701 }, { "branch_id": "ai-externalized-thought-flow", "depth": 1, "id": "ai-externalized-thought-flow", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.7672435298421607, "strength": 0.8344870596843215 }, { "branch_id": "ai-mediated-externalized-cognition-loop", "depth": 1, "id": "ai-mediated-externalized-cognition-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.8551723373977896, "strength": 1.0 }, { "branch_id": "continuous-externalized-ai-cognition-loop", "depth": 1, "id": "continuous-externalized-ai-cognition-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.8070255656264705, "strength": 0.9140511312529411 }, { "branch_id": "recursive-ai-mediated-externalized-cognition-loop", "depth": 1, "id": "recursive-ai-mediated-externalized-cognition-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.7652412614014785, "strength": 0.8304825228029571 }, { "branch_id": "thought-externalization", "depth": 1, "id": "thought-externalization", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.749072167200914, "strength": 0.798144334401828 }, { "branch_id": "ai-mediated-externalized-cognition-loop", "depth": 2, "id": "ai-first-externalized-cognitive-operating-system", "parent_id": "ai-mediated-externalized-cognition-loop", "path_count": 1, "path_product": 0.6590708776610334, "strength": 0.8413755773871854 }, { "branch_id": "thought-externalization", "depth": 2, "id": "cognitive-offloading", "parent_id": "thought-externalization", "path_count": 1, "path_product": 0.5585843589975313, "strength": 0.7914033212175389 }, { "branch_id": "continuous-externalized-ai-cognition-loop", "depth": 2, "id": "continuous-externalized-cognitive-flow-loop", "parent_id": "continuous-externalized-ai-cognition-loop", "path_count": 1, "path_product": 0.635105696821324, "strength": 0.8739419514629871 }, { "branch_id": "thought-externalization", "depth": 2, "id": "externalized-cognition", "parent_id": "thought-externalization", "path_count": 1, "path_product": 0.5725067621410311, "strength": 0.798144334401828 }, { "branch_id": "continuous-externalized-ai-cognition-loop", "depth": 2, "id": "voice-ai-externalized-cognition-loop", "parent_id": "continuous-externalized-ai-cognition-loop", "path_count": 1, "path_product": 0.622531410617487, "strength": 0.8427798997525782 }, { "branch_id": "ai-mediated-externalized-cognition-loop", "depth": 3, "id": "ai-orchestrated-personal-development-operating-system", "parent_id": "ai-first-externalized-cognitive-operating-system", "path_count": 1, "path_product": 0.4820085128012639, "strength": 0.7626909764602452 }, { "branch_id": "continuous-externalized-ai-cognition-loop", "depth": 3, "id": "conceptographic-externalized-cognition-infrastructure", "parent_id": "continuous-externalized-cognitive-flow-loop", "path_count": 1, "path_product": 0.4862206354880549, "strength": 0.8311487140536378 }, { "branch_id": "continuous-externalized-ai-cognition-loop", "depth": 3, "id": "continuous-externalized-thought-language-co-processing-loop", "parent_id": "continuous-externalized-cognitive-flow-loop", "path_count": 1, "path_product": 0.47903861793141156, "strength": 0.8085319509145603 }, { "branch_id": "thought-externalization", "depth": 3, "id": "cost-compressed-externalized-cognition-life-architecture", "parent_id": "cognitive-offloading", "path_count": 1, "path_product": 0.3943455207662608, "strength": 0.7119461614499076 }, { "branch_id": "continuous-externalized-ai-cognition-loop", "depth": 3, "id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "parent_id": "continuous-externalized-cognitive-flow-loop", "path_count": 1, "path_product": 0.4551841025037188, "strength": 0.7334121226809811 }, { "branch_id": "continuous-externalized-ai-cognition-loop", "depth": 3, "id": "voice-first-continuous-cognitive-offloading-layer", "parent_id": "voice-ai-externalized-cognition-loop", "path_count": 1, "path_product": 0.489890003806319, "strength": 0.8427798997525782 } ], "score": "path-bottleneck", "status": "candidate", "visual_interpretation": "Branch-level plateaus: one weak bridge dims every descendant beyond it." }, { "caution": "The probability-union display treats correlated paths as support.", "claim": "Accumulate support from every simple route within three hops.", "direct_edges": [ { "id": "ai-mediated-externalized-cognition-loop", "similarity": 0.8551723373977896 }, { "id": "continuous-externalized-ai-cognition-loop", "similarity": 0.8070255656264705 }, { "id": "ai-externalized-ideation-loop", "similarity": 0.768550192848335 }, { "id": "ai-externalized-thought-flow", "similarity": 0.7672435298421607 }, { "id": "recursive-ai-mediated-externalized-cognition-loop", "similarity": 0.7652412614014785 }, { "id": "thought-externalization", "similarity": 0.749072167200914 } ], "graph": "ranked", "id": "ranked-multipath", "label": "Multipath support", "metrics": { "depth_counts": { "1": 6, "2": 5, "3": 6 }, "direct_degree": 6, "effective_node_count": 16.533023335362607, "field_mass": 14.692925232942445, "field_mass_per_concept": 0.07985285452686111, "reach_count": 18, "visible_count": 17, "weighted_world_radius": 0.11726963930381451 }, "nodes": [ { "branch_id": "persistent-ai-mediated-externalized-cognition-loop", "depth": 0, "id": "persistent-ai-mediated-externalized-cognition-loop", "parent_id": "", "path_count": 1, "path_product": 1.0, "strength": 1.0 }, { "branch_id": "ai-externalized-ideation-loop", "depth": 1, "id": "ai-externalized-ideation-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 20, "path_product": 0.768550192848335, "strength": 0.9999996273280215 }, { "branch_id": "ai-externalized-thought-flow", "depth": 1, "id": "ai-externalized-thought-flow", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 24, "path_product": 0.7672435298421607, "strength": 0.9999999623405936 }, { "branch_id": "ai-mediated-externalized-cognition-loop", "depth": 1, "id": "ai-mediated-externalized-cognition-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 23, "path_product": 0.8551723373977896, "strength": 0.9999999411552578 }, { "branch_id": "continuous-externalized-ai-cognition-loop", "depth": 1, "id": "continuous-externalized-ai-cognition-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 16, "path_product": 0.8070255656264705, "strength": 0.9999897692215587 }, { "branch_id": "recursive-ai-mediated-externalized-cognition-loop", "depth": 1, "id": "recursive-ai-mediated-externalized-cognition-loop", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 11, "path_product": 0.7652412614014785, "strength": 0.9998705305247572 }, { "branch_id": "thought-externalization", "depth": 1, "id": "thought-externalization", "parent_id": "persistent-ai-mediated-externalized-cognition-loop", "path_count": 10, "path_product": 0.749072167200914, "strength": 0.9992209613623299 }, { "branch_id": "ai-mediated-externalized-cognition-loop", "depth": 2, "id": "ai-first-externalized-cognitive-operating-system", "parent_id": "ai-mediated-externalized-cognition-loop", "path_count": 20, "path_product": 0.6590708776610334, "strength": 0.9999978902701963 }, { "branch_id": "thought-externalization", "depth": 2, "id": "cognitive-offloading", "parent_id": "thought-externalization", "path_count": 4, "path_product": 0.5585843589975313, "strength": 0.9210964727929052 }, { "branch_id": "continuous-externalized-ai-cognition-loop", "depth": 2, "id": "continuous-externalized-cognitive-flow-loop", "parent_id": "continuous-externalized-ai-cognition-loop", "path_count": 7, "path_product": 0.635105696821324, "strength": 0.992988921182767 }, { "branch_id": "thought-externalization", "depth": 2, "id": "externalized-cognition", "parent_id": "thought-externalization", "path_count": 9, "path_product": 0.5725067621410311, "strength": 0.997110184335297 }, { "branch_id": "continuous-externalized-ai-cognition-loop", "depth": 2, "id": "voice-ai-externalized-cognition-loop", "parent_id": "continuous-externalized-ai-cognition-loop", "path_count": 4, "path_product": 0.622531410617487, "strength": 0.9391185680394408 }, { "branch_id": "ai-mediated-externalized-cognition-loop", "depth": 3, "id": "ai-orchestrated-personal-development-operating-system", "parent_id": "ai-first-externalized-cognitive-operating-system", "path_count": 4, "path_product": 0.4820085128012639, "strength": 0.8906699034416511 }, { "branch_id": "continuous-externalized-ai-cognition-loop", "depth": 3, "id": "conceptographic-externalized-cognition-infrastructure", "parent_id": "continuous-externalized-cognitive-flow-loop", "path_count": 2, "path_product": 0.4862206354880549, "strength": 0.7028797273160364 }, { "branch_id": "continuous-externalized-ai-cognition-loop", "depth": 3, "id": "continuous-externalized-thought-language-co-processing-loop", "parent_id": "continuous-externalized-cognitive-flow-loop", "path_count": 2, "path_product": 0.47903861793141156, "strength": 0.6954813121372884 }, { "branch_id": "thought-externalization", "depth": 3, "id": "cost-compressed-externalized-cognition-life-architecture", "parent_id": "cognitive-offloading", "path_count": 1, "path_product": 0.3943455207662608, "strength": 0.3943455207662607 }, { "branch_id": "continuous-externalized-ai-cognition-loop", "depth": 3, "id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "parent_id": "continuous-externalized-cognitive-flow-loop", "path_count": 2, "path_product": 0.4551841025037188, "strength": 0.6702659369217638 }, { "branch_id": "continuous-externalized-ai-cognition-loop", "depth": 3, "id": "voice-first-continuous-cognitive-offloading-layer", "parent_id": "voice-ai-externalized-cognition-loop", "path_count": 1, "path_product": 0.489890003806319, "strength": 0.489890003806319 } ], "score": "multipath-support", "status": "candidate", "visual_interpretation": "Bright convergence hotspots where several routes support the same target; redundant hubs can quickly saturate." } ], "code": "C143", "hue": 39, "id": "persistent-ai-mediated-externalized-cognition-loop", "observation": "Three-hop reach changes from 18 to 114 when membership changes from rank to absolute similarity.", "profile_order": [ "persistent-ai-mediated-externalized-cognition-loop", "ai-mediated-externalized-cognition-loop", "continuous-externalized-ai-cognition-loop", "ai-externalized-ideation-loop", "ai-externalized-thought-flow", "recursive-ai-mediated-externalized-cognition-loop", "thought-externalization", "continuous-externalized-cognitive-flow-loop", "ai-first-externalized-cognitive-operating-system", "voice-ai-externalized-cognition-loop", "cost-compressed-externalized-cognition-life-architecture", "ai-mediated-continuous-thought-capture-archive", "parallel-externalized-conversational-cognition", "externalized-cognition", "continuous-externalized-thought-infrastructure", "ai-mediated-cognitive-intimacy-and-collective-co-processing", "cognitive-offloading", "externalized-seed-and-scaffold-creativity-infrastructure", "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "self-directed-cognitive-scaffolding-with-hibernating-execution-layers", "externalized-scratchpad-architecture-for-ai-native-development", "externalized-divergence-convergence-cognitive-routing-ecology", "voice-first-continuous-cognitive-offloading-layer", "persistent-ai-mediated-conversational-routing-fabric", "conceptographic-externalized-cognition-infrastructure", "ai-mediated-cognitive-cartography", "ai-orchestrated-personal-development-operating-system", "continuous-externalized-thought-language-co-processing-loop", "personalized-thought-materialization-room", "recursive-ai-scaffolded-thought-and-workflow-construction", "continuous-generative-production-distribution-stack-with-ai-co-execution-and-latent-creative-navigation", "ai-mediated-living-knowledge-fabric", "externalized-predictive-conversational-cognition", "persistent-conversational-cognitive-infrastructure", "ai-mediated-adaptive-creation-workshop-presentation-and-personal-manufacturing-loops", "externalized-recursive-thought-archive", "externalized-recursive-embedding-graph-knowledge-field", "cognitive-responsive-city-infrastructure", "ai-mediated-autopilot-labor-cognition", "seed-stream-externalized-ideation", "endosymbiotic-ai-human-infrastructure", "intent-to-architecture-human-ai-development-split", "possibility-space-cognitive-mesh", "adaptive-ai-mediated-visual-language", "conversation-compounded-ai-textbook-infrastructure", "ambient-relational-ai-and-artifact-scaffolds", "intent-driven-adaptive-communication-and-research-mediation-infrastructure", "seed-expanded-human-ai-co-reasoning", "ai-mediated-spore-scale-idea-propagation", "externalized-seed-stream-knowledge-graph-production-infrastructure", "ai-mediated-seed-idea-ecology", "perceptual-computational-environmental-stack-for-augmented-ecological-reality-systems", "predictive-living-experience-mesh", "externalized-fractal-cognitive-cartography", "parallel-co-exploratory-creative-system", "curiosity-driven-threshold-cartography-narrative-engine", "semantic-graph-coordination-for-human-ai-contribution-systems", "ai-gardened-pattern-field-agency", "human-ai-communication-optimized-across-cycles", "conversational-co-adaptive-training-infrastructure", "ai-orchestrated-graph-and-quest-execution-system", "ai-mediated-understanding-transfer-network", "modular-ai-mediated-living-codex", "split-brain-ai-system", "adaptive-sonic-cognitive-encoding-and-navigable-music-ai-knowledge-systems", "seed-and-expansion-cognitive-infrastructure", "personal-use-tinkering-software-as-exploratory-craft", "conversational-graph-orchestrated-ai-work-layer", "sketch-and-handwriting-native-intent-interface-for-generative-co-creation", "intent-driven-ambient-spatial-execution-and-toolspace-layer", "lifelong-students-and-surprise-optimization", "self-directed-exploration-and-role-separation", "intent-structured-attention-and-experience-infrastructure", "externalized-navigable-learning-systems", "persistent-friction-as-system-rewriting", "kinetic-habitat-cognition", "ai-operable-construction-knowledge-infrastructure", "ambiguity-controlled-ai-co-creation", "graph-native-ai-software-runtime", "reference-anchored-embedding-terrains-and-embodied-navigation-interfaces", "flow-routed-energy-work-architecture", "embodied-intent-collapse-input-systems", "implementation-friction-collapse-orchestration-loop", "movement-coupled-cognitive-work-environments", "anthropomorphic-forensic-debugging-loop", "conversational-code-fabric", "intent-driven-ai-orchestration-system", "intent-driven-development-cockpit-with-semantic-control-surfaces", "embedding-native-visual-and-adaptive-language-artifacts", "bio-digital-symbiotic-evolutionary-infrastructure", "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "adaptive-energy-mobility-civic-infrastructure-mesh", "evolutionary-diagram-to-code-feedback-loop", "adaptive-modular-narrative-infrastructure", "embedding-space-cognitive-navigation", "epistemic-graph-development-with-signal-oriented-validation", "identity-decoupled-generative-idea-ecosystem", "living-spatial-knowledge-landscape-interfaces", "embodied-generative-spatial-music-systems", "embedding-native-geometric-knowledge-navigation-and-semantic-field-manipulation", "ecosystem-encoded-innovation-production", "embodied-maintenance-as-wellness-infrastructure", "distributed-optical-architecture-of-material-light-systems", "adaptive-experiential-knowledge-landscapes", "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "ai-native-software-orchestration", "attention-conditioned-generative-media-and-knowledge-systems", "participatory-generative-art-infrastructure", "conversational-graph-vector-knowledge-fabric", "navigable-embedding-visual-cognition-systems", "autonomous-declarative-work-orchestration-loop", "inhabitable-embedding-cartography", "adaptive-embedding-text-knowledge-terrain", "adaptive-food-abundance-infrastructure", "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "pareidolic-responsive-environments", "decoupled-vision-market-for-ai-mediated-future-building", "adaptive-perceptual-living-environments", "intent-compiled-generative-infrastructure", "ambient-programmable-body-space-infrastructure", "latent-multimodal-pattern-space-communication", "stochastic-constraint-field-generative-systems-across-physical-tiles-diffusion-media-and-lottery-allocation", "cultivated-bio-circulatory-infrastructure", "canine-centered-interspecies-urban-citizenship", "inverted-communication-model", "intent-to-behavior-compilation-layer-for-software-systems", "functionality-first-living-code-ecosystem", "biological-geometry-and-emergent-structures", "contribution-weighted-open-commons-allocation-and-attribution-infrastructure", "semantic-commit-memory", "nature-guided-architecture-and-products", "arrangement-as-substance-the-cord-emergence-demonstration", "deviation-native-regenerative-resilience", "functionality-driven-development-runtime-with-ai-managed-implementations", "hybrid-games-art-games-and-strategy-abstraction", "graph-native-relational-computation-substrate", "suspended-furniture-movable-structures-and-chaotic-construction", "debugging-through-observable-state-and-hidden-state-drift", "pareidolic-card-and-grid-play-interfaces", "adaptive-volumetric-play-mobility-infrastructure", "synthetic-company-operating-benchmark-commons", "semantic-reflex-network-for-code-systems", "pareidolia-cinema-begins", "pareidolia-vantage-points-in-cities", "graph-native-schema-bound-execution-fabric", "theme-parks-as-bounded-civilizational-experiments", "graph-embedded-cellular-event-software", "schema-contracted-synthetic-execution-graph", "daos-for-complex-service-loops", "recursive-residual-information-chemistry", "position-aware-audio-installation", "hoverboard-zipline-movement-system", "adaptive-lifecycle-stewardship-economy", "logarithmic-learning", "fluid-access-habitat-and-logistics-grid", "seed-reconstructive-information-chemistry", "velcro-like-reconfigurable-cord-or-mesh-physical-space", "compression-through-chaotic-structures", "lacunar-code", "pattern-based-animal-survival-navigation-indicators", "conceptography", "working-with-chaos-through-stable-attractor-regions", "probability-based-faster-than-light-communication", "cloud-movement-and-flexible-aerial-artwork", "pendulum-warehouse-and-vector-latch-logistics", "anchor-tension-mobility-networks", "relational-provenance-token-economies", "information-gain-agriculture", "post-car-choreographed-flow-city", "integrated-trust-and-feedback-dealership-operating-system", "forest-path-reservation", "real-time-logistics-for-personal-items-tools-and-materials", "uncertainty-preserving-playable-game-systems", "sonic-spatial-augmentation-systems", "goal-linked-nfts-and-high-value-goods", "wheelchair-first-architecture-and-infrastructure", "game-modding-as-prototyping", "information-fingerprinting", "three-dimensional-go", "pendulum-cable-security", "fractal-physical-connector-and-cable-power-interface", "information-chemistry", "centralized-local-food-systems", "mist-art-installation" ], "role": "Largest reach divergence", "title": "Persistent AI-Mediated Externalized Cognition Loop" } ], "concept_count": 184, "findings": [ { "evidence": "The same absolute arm draws 0 visible non-root nodes for C040 and 113 for C012.", "title": "Thresholding creates a visual phase change" }, { "evidence": "For C040, ranked membership reaches 61 nodes, but only 2 non-root nodes remain above the declared 0.10 display cutoff.", "title": "Origin affinity can make graph reach nearly disappear" }, { "evidence": "In the dense case, field mass rises from 10.2 under one selected path to 14.2 when all simple routes contribute.", "title": "Multipath support turns convergence into brightness" } ], "layout": { "coordinate_claim": "fixed presentation coordinates, not semantic distance", "id": "graph-mutual-neighbor-force", "label": "Mutual-neighbor force" }, "maximum_depth": 3, "oracles": { "every_case_has_every_algorithm": true, "every_field_contains_its_origin": true, "every_position_is_present_once": true, "every_strength_is_bounded": true, "multipath_never_weakens_ranked_support": true, "multipath_preserves_ranked_membership": true, "mutual_edges_are_reciprocal": true }, "positions": [ { "code": "C001", "hue": 194, "id": "adaptive-ai-mediated-visual-language", "title": "Adaptive AI-Mediated Visual Language", "x": 0.32507193967133674, "y": 0.39318551268226426 }, { "code": "C002", "hue": 161, "id": "adaptive-embedding-text-knowledge-terrain", "title": "Adaptive Embedding-Text Knowledge Terrain", "x": 0.1393190993835668, "y": 0.23300703987171142 }, { "code": "C003", "hue": 125, "id": "adaptive-energy-mobility-civic-infrastructure-mesh", "title": "Adaptive Energy-Mobility-Civic Infrastructure Mesh", "x": 0.7292444196996843, "y": 0.8977052549199988 }, { "code": "C004", "hue": 3, "id": "adaptive-experiential-knowledge-landscapes", "title": "Adaptive Experiential Knowledge Landscapes", "x": 0.3790377849619505, "y": 0.5656489627377476 }, { "code": "C005", "hue": 7, "id": "adaptive-food-abundance-infrastructure", "title": "Adaptive Food Abundance Infrastructure", "x": 0.6494120580458062, "y": 0.8692257957372963 }, { "code": "C006", "hue": 325, "id": "adaptive-lifecycle-stewardship-economy", "title": "Adaptive Lifecycle Stewardship Economy", "x": 0.7035553906925479, "y": 0.8255218945217665 }, { "code": "C007", "hue": 342, "id": "adaptive-modular-narrative-infrastructure", "title": "Adaptive Modular Narrative Infrastructure", "x": 0.17963898989176297, "y": 0.22249370532376866 }, { "code": "C008", "hue": 163, "id": "adaptive-perceptual-living-environments", "title": "Adaptive Perceptual Living Environments", "x": 0.5883991602165445, "y": 0.8172029667048962 }, { "code": "C009", "hue": 238, "id": "adaptive-sonic-cognitive-encoding-and-navigable-music-ai-knowledge-systems", "title": "Adaptive Sonic-Cognitive Encoding and Navigable Music–AI Knowledge Systems", "x": 0.410343876028763, "y": 0.5402426144979189 }, { "code": "C010", "hue": 107, "id": "adaptive-volumetric-play-mobility-infrastructure", "title": "Adaptive Volumetric Play-Mobility Infrastructure", "x": 0.6803946319316907, "y": 0.952833391801701 }, { "code": "C011", "hue": 320, "id": "ai-externalized-ideation-loop", "title": "AI-Externalized Ideation Loop", "x": 0.3616254603864903, "y": 0.4162629235568699 }, { "code": "C012", "hue": 110, "id": "ai-externalized-thought-flow", "title": "AI-Externalized Thought Flow", "x": 0.21543545056422364, "y": 0.5053475579954436 }, { "code": "C013", "hue": 71, "id": "ai-first-externalized-cognitive-operating-system", "title": "AI-First Externalized Cognitive Operating System", "x": 0.3240614195547501, "y": 0.43317319743334537 }, { "code": "C014", "hue": 226, "id": "ai-gardened-pattern-field-agency", "title": "AI-Gardened Pattern-Field Agency", "x": 0.43228507556300566, "y": 0.5728226225999246 }, { "code": "C015", "hue": 284, "id": "ai-mediated-adaptive-creation-workshop-presentation-and-personal-manufacturing-loops", "title": "AI-mediated adaptive creation, workshop, presentation, and personal manufacturing loops", "x": 0.5867601949730628, "y": 0.48032630902500734 }, { "code": "C016", "hue": 308, "id": "ai-mediated-autopilot-labor-cognition", "title": "AI-mediated autopilot labor cognition", "x": 0.44408579695165673, "y": 0.35468656947076704 }, { "code": "C017", "hue": 173, "id": "ai-mediated-cognitive-cartography", "title": "AI-Mediated Cognitive Cartography", "x": 0.20879840722743812, "y": 0.39465495140653106 }, { "code": "C018", "hue": 42, "id": "ai-mediated-cognitive-intimacy-and-collective-co-processing", "title": "AI-mediated cognitive intimacy and collective co-processing", "x": 0.257004860272668, "y": 0.35904486350324394 }, { "code": "C019", "hue": 315, "id": "ai-mediated-continuous-thought-capture-archive", "title": "AI-Mediated Continuous Thought Capture Archive", "x": 0.5283850277200177, "y": 0.26657347562711525 }, { "code": "C020", "hue": 94, "id": "ai-mediated-externalized-cognition-loop", "title": "AI-mediated externalized cognition loop", "x": 0.2888052344408741, "y": 0.41252978434379833 }, { "code": "C021", "hue": 9, "id": "ai-mediated-living-knowledge-fabric", "title": "AI-Mediated Living Knowledge Fabric", "x": 0.6087893631814877, "y": 0.23751115431301706 }, { "code": "C022", "hue": 262, "id": "ai-mediated-seed-idea-ecology", "title": "AI-Mediated Seed Idea Ecology", "x": 0.5239529686891301, "y": 0.42282570068996916 }, { "code": "C023", "hue": 16, "id": "ai-mediated-spore-scale-idea-propagation", "title": "AI-mediated spore-scale idea propagation", "x": 0.5560011342206882, "y": 0.38204343778938177 }, { "code": "C024", "hue": 2, "id": "ai-mediated-understanding-transfer-network", "title": "AI-mediated understanding-transfer network", "x": 0.4197356302424231, "y": 0.2813214937268822 }, { "code": "C025", "hue": 163, "id": "ai-native-software-orchestration", "title": "AI-Native Software Orchestration", "x": 0.879570104359848, "y": 0.16404961329435744 }, { "code": "C026", "hue": 151, "id": "ai-operable-construction-knowledge-infrastructure", "title": "AI-Operable Construction Knowledge Infrastructure", "x": 0.8252566649797439, "y": 0.7896256336598217 }, { "code": "C027", "hue": 215, "id": "ai-orchestrated-graph-and-quest-execution-system", "title": "AI-orchestrated graph-and-quest execution system", "x": 0.9173659127838253, "y": 0.14757577241618897 }, { "code": "C028", "hue": 356, "id": "ai-orchestrated-personal-development-operating-system", "title": "AI-Orchestrated Personal Development Operating System", "x": 0.3835790301009486, "y": 0.5049597748543592 }, { "code": "C029", "hue": 195, "id": "ambient-programmable-body-space-infrastructure", "title": "Ambient Programmable Body-Space Infrastructure", "x": 0.5146085469344122, "y": 0.6046757216012653 }, { "code": "C030", "hue": 272, "id": "ambient-relational-ai-and-artifact-scaffolds", "title": "Ambient Relational AI and Artifact Scaffolds", "x": 0.6481722665120292, "y": 0.22439714185135454 }, { "code": "C031", "hue": 115, "id": "ambiguity-controlled-ai-co-creation", "title": "Ambiguity-Controlled AI Co-Creation", "x": 0.5622794126317695, "y": 0.4382429526067447 }, { "code": "C032", "hue": 246, "id": "anchor-tension-mobility-networks", "title": "Anchor-Tension Mobility Networks", "x": 0.7220486882003412, "y": 0.943391600921931 }, { "code": "C033", "hue": 196, "id": "anthropomorphic-forensic-debugging-loop", "title": "Anthropomorphic Forensic Debugging Loop", "x": 0.8017848297466899, "y": 0.36606535857278416 }, { "code": "C034", "hue": 99, "id": "arrangement-as-substance-the-cord-emergence-demonstration", "title": "Arrangement as Substance: the cord emergence demonstration", "x": 0.7763195279396122, "y": 0.6590011628544656 }, { "code": "C035", "hue": 338, "id": "attention-conditioned-generative-media-and-knowledge-systems", "title": "Attention-Conditioned Generative Media and Knowledge Systems", "x": 0.44293998738769247, "y": 0.41003364624137356 }, { "code": "C036", "hue": 285, "id": "autonomous-declarative-work-orchestration-loop", "title": "Autonomous Declarative Work Orchestration Loop", "x": 0.3636650749947025, "y": 0.7004858147908991 }, { "code": "C037", "hue": 160, "id": "bio-digital-symbiotic-evolutionary-infrastructure", "title": "Bio-Digital Symbiotic Evolutionary Infrastructure", "x": 0.5940386873896165, "y": 0.7793015038709997 }, { "code": "C038", "hue": 132, "id": "biological-geometry-and-emergent-structures", "title": "Biological geometry and emergent structures", "x": 0.5104342935515661, "y": 0.7887237083406937 }, { "code": "C039", "hue": 321, "id": "canine-centered-interspecies-urban-citizenship", "title": "Canine-Centered Interspecies Urban Citizenship", "x": 0.48112550918195446, "y": 0.6698736654625468 }, { "code": "C040", "hue": 78, "id": "centralized-local-food-systems", "title": "Centralized/local food systems", "x": 0.6932539687469924, "y": 0.8770982548365726 }, { "code": "C041", "hue": 28, "id": "cloud-movement-and-flexible-aerial-artwork", "title": "Cloud movement and flexible aerial artwork", "x": 0.5322052426926954, "y": 0.7217283835493192 }, { "code": "C042", "hue": 263, "id": "cognitive-offloading", "title": "cognitive offloading", "x": 0.2827750063798047, "y": 0.5385235132261724 }, { "code": "C043", "hue": 295, "id": "cognitive-responsive-city-infrastructure", "title": "Cognitive-Responsive City Infrastructure", "x": 0.3667673280093005, "y": 0.6241954312177723 }, { "code": "C044", "hue": 355, "id": "compression-through-chaotic-structures", "title": "Compression through chaotic structures", "x": 0.5394924360808607, "y": 0.5338652597627712 }, { "code": "C045", "hue": 134, "id": "conceptographic-externalized-cognition-infrastructure", "title": "Conceptographic externalized cognition infrastructure", "x": 0.3629748279735799, "y": 0.28113592100621243 }, { "code": "C046", "hue": 86, "id": "conceptography", "title": "conceptography", "x": 0.0, "y": 0.1250876459127978 }, { "code": "C047", "hue": 236, "id": "continuous-externalized-ai-cognition-loop", "title": "Continuous Externalized AI Cognition Loop", "x": 0.46061444236579885, "y": 0.2901057974376192 }, { "code": "C048", "hue": 127, "id": "continuous-externalized-cognitive-flow-loop", "title": "Continuous Externalized Cognitive Flow Loop", "x": 0.30142601874376174, "y": 0.32398996098456756 }, { "code": "C049", "hue": 122, "id": "continuous-externalized-thought-infrastructure", "title": "Continuous Externalized Thought Infrastructure", "x": 0.2939431912780157, "y": 0.48989395624864623 }, { "code": "C050", "hue": 298, "id": "continuous-externalized-thought-language-co-processing-loop", "title": "Continuous Externalized Thought–Language Co-Processing Loop", "x": 0.43202604163694314, "y": 0.3180569677644069 }, { "code": "C051", "hue": 89, "id": "continuous-generative-production-distribution-stack-with-ai-co-execution-and-latent-creative-navigation", "title": "Continuous Generative Production–Distribution Stack with AI Co-Execution and Latent Creative Navigation", "x": 0.37281946286089535, "y": 0.3794047962487633 }, { "code": "C052", "hue": 47, "id": "contribution-weighted-open-commons-allocation-and-attribution-infrastructure", "title": "Contribution-Weighted Open Commons Allocation and Attribution Infrastructure", "x": 0.7067813295307307, "y": 0.6190724020761761 }, { "code": "C053", "hue": 0, "id": "conversation-compounded-ai-textbook-infrastructure", "title": "Conversation-Compounded AI Textbook Infrastructure", "x": 0.33471988905022765, "y": 0.25290331412067674 }, { "code": "C054", "hue": 179, "id": "conversational-co-adaptive-training-infrastructure", "title": "Conversational Co-Adaptive Training Infrastructure", "x": 0.3589043850924425, "y": 0.22167608491053312 }, { "code": "C055", "hue": 44, "id": "conversational-code-fabric", "title": "Conversational Code Fabric", "x": 0.7606706506182345, "y": 0.23652066304724273 }, { "code": "C056", "hue": 190, "id": "conversational-graph-orchestrated-ai-work-layer", "title": "Conversational Graph-Orchestrated AI Work Layer", "x": 0.7191257344314882, "y": 0.22443368676379394 }, { "code": "C057", "hue": 255, "id": "conversational-graph-vector-knowledge-fabric", "title": "Conversational Graph-Vector Knowledge Fabric", "x": 0.8065468974183371, "y": 0.14384651853318564 }, { "code": "C058", "hue": 118, "id": "cost-compressed-externalized-cognition-life-architecture", "title": "Cost-Compressed Externalized Cognition Life Architecture", "x": 0.3224924998654522, "y": 0.29093184818909046 }, { "code": "C059", "hue": 307, "id": "cultivated-bio-circulatory-infrastructure", "title": "Cultivated Bio-Circulatory Infrastructure", "x": 0.6518322171177254, "y": 0.9074117172238441 }, { "code": "C060", "hue": 195, "id": "curiosity-driven-threshold-cartography-narrative-engine", "title": "Curiosity-Driven Threshold Cartography Narrative Engine", "x": 0.05122675289778258, "y": 0.15733628669809166 }, { "code": "C061", "hue": 39, "id": "daos-for-complex-service-loops", "title": "DAOs for complex service loops", "x": 0.762091195394114, "y": 0.7190014398910245 }, { "code": "C062", "hue": 174, "id": "debugging-through-observable-state-and-hidden-state-drift", "title": "Debugging Through Observable State and Hidden State Drift", "x": 0.7898682889922998, "y": 0.40273403902593247 }, { "code": "C063", "hue": 284, "id": "decoupled-vision-market-for-ai-mediated-future-building", "title": "Decoupled Vision Market for AI-Mediated Future-Building", "x": 0.7278655274515519, "y": 0.7484777203221832 }, { "code": "C064", "hue": 97, "id": "deviation-native-regenerative-resilience", "title": "Deviation-Native Regenerative Resilience", "x": 0.6212825781216849, "y": 0.8408888750849803 }, { "code": "C065", "hue": 12, "id": "distributed-optical-architecture-of-material-light-systems", "title": "Distributed Optical Architecture of Material-Light Systems", "x": 0.5263471774711812, "y": 0.6820327545397606 }, { "code": "C066", "hue": 41, "id": "ecosystem-encoded-innovation-production", "title": "Ecosystem-Encoded Innovation Production", "x": 0.7289409117497442, "y": 0.7880242263876404 }, { "code": "C067", "hue": 342, "id": "embedding-native-geometric-knowledge-navigation-and-semantic-field-manipulation", "title": "Embedding-Native Geometric Knowledge Navigation and Semantic Field Manipulation", "x": 0.1230661459848648, "y": 0.2967002800265316 }, { "code": "C068", "hue": 109, "id": "embedding-native-visual-and-adaptive-language-artifacts", "title": "Embedding-Native Visual and Adaptive Language Artifacts", "x": 0.2180863958870243, "y": 0.31646421170977096 }, { "code": "C069", "hue": 352, "id": "embedding-space-cognitive-navigation", "title": "Embedding-Space Cognitive Navigation", "x": 0.18341272824906749, "y": 0.2950135336521428 }, { "code": "C070", "hue": 320, "id": "embodied-generative-spatial-music-systems", "title": "Embodied Generative Spatial-Music Systems", "x": 0.44636339301443556, "y": 0.6485427368056175 }, { "code": "C071", "hue": 7, "id": "embodied-intent-collapse-input-systems", "title": "Embodied Intent-Collapse Input Systems", "x": 0.5177036479425295, "y": 0.5665304810458704 }, { "code": "C072", "hue": 103, "id": "embodied-maintenance-as-wellness-infrastructure", "title": "Embodied Maintenance as Wellness Infrastructure", "x": 0.6706709075008876, "y": 0.7337696520103045 }, { "code": "C073", "hue": 348, "id": "endosymbiotic-ai-human-infrastructure", "title": "Endosymbiotic AI-Human Infrastructure", "x": 0.5128634792646354, "y": 0.6449183138077887 }, { "code": "C074", "hue": 90, "id": "epistemic-graph-development-with-signal-oriented-validation", "title": "Epistemic Graph Development with Signal-Oriented Validation", "x": 0.5412956635659646, "y": 0.31071207472560897 }, { "code": "C075", "hue": 1, "id": "evolutionary-diagram-to-code-feedback-loop", "title": "Evolutionary Diagram-to-Code Feedback Loop", "x": 0.7115859705415202, "y": 0.32665865807449396 }, { "code": "C076", "hue": 36, "id": "externalized-cognition", "title": "externalized cognition", "x": 0.25719470368751196, "y": 0.5082382810610148 }, { "code": "C077", "hue": 38, "id": "externalized-divergence-convergence-cognitive-routing-ecology", "title": "Externalized Divergence–Convergence Cognitive Routing Ecology", "x": 0.32893547423797725, "y": 0.5494315906491233 }, { "code": "C078", "hue": 132, "id": "externalized-embedding-graph-cognitive-memory-and-action-ecosystem", "title": "Externalized Embedding-Graph Cognitive Memory and Action Ecosystem", "x": 0.23332271699985607, "y": 0.2732356917880632 }, { "code": "C079", "hue": 19, "id": "externalized-fractal-cognitive-cartography", "title": "Externalized Fractal Cognitive Cartography", "x": 0.5337600263039383, "y": 0.8214745437919947 }, { "code": "C080", "hue": 218, "id": "externalized-navigable-learning-systems", "title": "Externalized Navigable Learning Systems", "x": 0.21524468699085186, "y": 0.3561652408652032 }, { "code": "C081", "hue": 159, "id": "externalized-predictive-conversational-cognition", "title": "Externalized Predictive Conversational Cognition", "x": 0.35075071050932494, "y": 0.3191625880142886 }, { "code": "C082", "hue": 296, "id": "externalized-recursive-embedding-graph-knowledge-field", "title": "Externalized Recursive Embedding–Graph Knowledge Field", "x": 0.19484665801269355, "y": 0.2581325100874953 }, { "code": "C083", "hue": 221, "id": "externalized-recursive-thought-archive", "title": "Externalized Recursive Thought Archive", "x": 0.2596862334678533, "y": 0.32087349852843366 }, { "code": "C084", "hue": 151, "id": "externalized-scratchpad-architecture-for-ai-native-development", "title": "Externalized Scratchpad Architecture for AI-Native Development", "x": 0.6836364512391712, "y": 0.2447411780620291 }, { "code": "C085", "hue": 65, "id": "externalized-seed-and-scaffold-creativity-infrastructure", "title": "Externalized Seed-and-Scaffold Creativity Infrastructure", "x": 0.4101453019556465, "y": 0.461429365824356 }, { "code": "C086", "hue": 318, "id": "externalized-seed-stream-knowledge-graph-production-infrastructure", "title": "Externalized Seed-Stream Knowledge Graph Production Infrastructure", "x": 0.6343135666014688, "y": 0.2678358428375739 }, { "code": "C087", "hue": 133, "id": "flow-routed-energy-work-architecture", "title": "Flow-Routed Energy Work Architecture", "x": 0.36789355018956654, "y": 0.662431442058389 }, { "code": "C088", "hue": 195, "id": "fluid-access-habitat-and-logistics-grid", "title": "Fluid Access Habitat and Logistics Grid", "x": 0.6925895348656479, "y": 0.9162051401955983 }, { "code": "C089", "hue": 253, "id": "forest-path-reservation", "title": "Forest/path reservation", "x": 0.40564860308889245, "y": 0.7582953588426778 }, { "code": "C090", "hue": 128, "id": "fractal-physical-connector-and-cable-power-interface", "title": "Fractal physical connector and cable power interface", "x": 0.8424222734245811, "y": 0.8503153469767198 }, { "code": "C091", "hue": 359, "id": "functionality-driven-development-runtime-with-ai-managed-implementations", "title": "Functionality-Driven Development Runtime with AI-Managed Implementations", "x": 0.812667314155934, "y": 0.22930154482375564 }, { "code": "C092", "hue": 10, "id": "functionality-first-living-code-ecosystem", "title": "Functionality-First Living Code Ecosystem", "x": 0.7890674849262322, "y": 0.2937526912442926 }, { "code": "C093", "hue": 61, "id": "game-modding-as-prototyping", "title": "Game modding as prototyping", "x": 0.6145203480438768, "y": 0.5262896656676735 }, { "code": "C094", "hue": 49, "id": "goal-linked-nfts-and-high-value-goods", "title": "Goal-linked NFTs and high-value goods", "x": 0.7434548174462269, "y": 0.6847476308561878 }, { "code": "C095", "hue": 137, "id": "graph-embedded-cellular-event-software", "title": "Graph-Embedded Cellular Event Software", "x": 0.9554234144985869, "y": 0.043769631180317355 }, { "code": "C096", "hue": 252, "id": "graph-native-ai-software-runtime", "title": "Graph-Native AI Software Runtime", "x": 0.9267668678395254, "y": 0.07166252765142578 }, { "code": "C097", "hue": 242, "id": "graph-native-relational-computation-substrate", "title": "Graph-native relational computation substrate", "x": 0.8864586108605872, "y": 0.08203999254791824 }, { "code": "C098", "hue": 186, "id": "graph-native-schema-bound-execution-fabric", "title": "Graph-Native Schema-Bound Execution Fabric", "x": 0.9242188785814308, "y": 0.10984151233052865 }, { "code": "C099", "hue": 110, "id": "hoverboard-zipline-movement-system", "title": "Hoverboard/zipline movement system", "x": 0.746477928977115, "y": 1.0 }, { "code": "C100", "hue": 262, "id": "human-ai-communication-optimized-across-cycles", "title": "Human-AI communication optimized across cycles", "x": 0.3912449938777328, "y": 0.3093558095103981 }, { "code": "C101", "hue": 66, "id": "hybrid-games-art-games-and-strategy-abstraction", "title": "Hybrid games, art games, and strategy abstraction", "x": 0.6005746367400716, "y": 0.5623564731668768 }, { "code": "C102", "hue": 245, "id": "identity-decoupled-generative-idea-ecosystem", "title": "Identity-Decoupled Generative Idea Ecosystem", "x": 0.41461196709782516, "y": 0.3818621977276729 }, { "code": "C103", "hue": 226, "id": "implementation-friction-collapse-orchestration-loop", "title": "Implementation-Friction Collapse Orchestration Loop", "x": 0.7510488351251947, "y": 0.4170854911676161 }, { "code": "C104", "hue": 91, "id": "information-chemistry", "title": "information chemistry", "x": 0.7594240135003989, "y": 0.5740820819353691 }, { "code": "C105", "hue": 95, "id": "information-fingerprinting", "title": "Information fingerprinting", "x": 0.8091515665433521, "y": 0.5798323648406842 }, { "code": "C106", "hue": 107, "id": "information-gain-agriculture", "title": "Information-gain agriculture", "x": 0.6624584194496819, "y": 0.8328793408551273 }, { "code": "C107", "hue": 345, "id": "inhabitable-embedding-cartography", "title": "Inhabitable Embedding Cartography", "x": 0.13636957019294235, "y": 0.33296892278199725 }, { "code": "C108", "hue": 25, "id": "integrated-trust-and-feedback-dealership-operating-system", "title": "Integrated Trust-and-Feedback Dealership Operating System", "x": 0.7681883389014076, "y": 0.7588079052753596 }, { "code": "C109", "hue": 220, "id": "intent-compiled-generative-infrastructure", "title": "Intent-Compiled Generative Infrastructure", "x": 0.6209122935408836, "y": 0.3847903379143476 }, { "code": "C110", "hue": 196, "id": "intent-driven-adaptive-communication-and-research-mediation-infrastructure", "title": "Intent-Driven Adaptive Communication and Research Mediation Infrastructure", "x": 0.6273713804397862, "y": 0.48988520812748565 }, { "code": "C111", "hue": 170, "id": "intent-driven-ai-orchestration-system", "title": "Intent-Driven AI Orchestration System", "x": 0.847213141801136, "y": 0.20767948334414146 }, { "code": "C112", "hue": 182, "id": "intent-driven-ambient-spatial-execution-and-toolspace-layer", "title": "Intent-Driven Ambient Spatial Execution and Toolspace Layer", "x": 0.45065752862281283, "y": 0.5298826491077806 }, { "code": "C113", "hue": 288, "id": "intent-driven-development-cockpit-with-semantic-control-surfaces", "title": "Intent-Driven Development Cockpit with Semantic Control Surfaces", "x": 0.8207187235311652, "y": 0.26683784621773216 }, { "code": "C114", "hue": 20, "id": "intent-structured-attention-and-experience-infrastructure", "title": "Intent-Structured Attention and Experience Infrastructure", "x": 0.6035569868802826, "y": 0.444702176779314 }, { "code": "C115", "hue": 224, "id": "intent-to-architecture-human-ai-development-split", "title": "Intent-to-Architecture Human-AI Development Split", "x": 0.4655010569754082, "y": 0.48310976999420135 }, { "code": "C116", "hue": 194, "id": "intent-to-behavior-compilation-layer-for-software-systems", "title": "Intent-to-Behavior Compilation Layer for Software Systems", "x": 0.7464950031168033, "y": 0.30552882343307824 }, { "code": "C117", "hue": 291, "id": "inverted-communication-model", "title": "Inverted communication model", "x": 0.47254182341689643, "y": 0.3827501934588026 }, { "code": "C118", "hue": 26, "id": "kinetic-habitat-cognition", "title": "Kinetic Habitat Cognition", "x": 0.4686436829325746, "y": 0.7856813688117203 }, { "code": "C119", "hue": 218, "id": "lacunar-code", "title": "Lacunar Code", "x": 0.9447031053674653, "y": 0.17655231684620318 }, { "code": "C120", "hue": 195, "id": "latent-multimodal-pattern-space-communication", "title": "Latent Multimodal Pattern-Space Communication", "x": 0.44929251865205944, "y": 0.4478408836990908 }, { "code": "C121", "hue": 217, "id": "lifelong-students-and-surprise-optimization", "title": "Lifelong students and surprise optimization", "x": 0.5077982969660061, "y": 0.3478194325174902 }, { "code": "C122", "hue": 327, "id": "living-spatial-knowledge-landscape-interfaces", "title": "Living Spatial Knowledge Landscape Interfaces", "x": 0.3303497174751287, "y": 0.47098938994500866 }, { "code": "C123", "hue": 32, "id": "logarithmic-learning", "title": "Logarithmic learning", "x": 0.4727890478058332, "y": 0.3268283725210097 }, { "code": "C124", "hue": 229, "id": "mist-art-installation", "title": "Mist art installation", "x": 0.49388123926304894, "y": 0.7063060728921766 }, { "code": "C125", "hue": 138, "id": "modular-ai-mediated-living-codex", "title": "Modular AI-Mediated Living Codex", "x": 0.2722782613000131, "y": 0.22635489006579712 }, { "code": "C126", "hue": 144, "id": "movement-coupled-cognitive-work-environments", "title": "Movement-Coupled Cognitive Work Environments", "x": 0.5009269996468994, "y": 0.7514725442142584 }, { "code": "C127", "hue": 106, "id": "nature-guided-architecture-and-products", "title": "Nature-guided architecture and products", "x": 0.575133247408878, "y": 0.8534835055524522 }, { "code": "C128", "hue": 110, "id": "navigable-embedding-visual-cognition-systems", "title": "Navigable Embedding-Visual Cognition Systems", "x": 0.17824859187664094, "y": 0.3329718447781933 }, { "code": "C129", "hue": 106, "id": "open-infrastructural-transition-by-coordinated-ecological-ai-capital-and-narrative-systems", "title": "Open infrastructural transition by coordinated ecological, AI, capital, and narrative systems", "x": 0.6074462339595155, "y": 0.8778155022600251 }, { "code": "C130", "hue": 219, "id": "parallel-co-exploratory-creative-system", "title": "Parallel Co-Exploratory Creative System", "x": 0.48208324386637125, "y": 0.4236316418750628 }, { "code": "C131", "hue": 249, "id": "parallel-externalized-conversational-cognition", "title": "Parallel Externalized Conversational Cognition", "x": 0.2506086685378511, "y": 0.39684595804533324 }, { "code": "C132", "hue": 203, "id": "pareidolia-cinema-begins", "title": "Pareidolia cinema begins", "x": 0.553934777710441, "y": 0.6523943859120489 }, { "code": "C133", "hue": 321, "id": "pareidolia-vantage-points-in-cities", "title": "Pareidolia vantage points in cities", "x": 0.5685539648863553, "y": 0.688238025578605 }, { "code": "C134", "hue": 2, "id": "pareidolic-card-and-grid-play-interfaces", "title": "Pareidolic Card and Grid Play Interfaces", "x": 0.555710725303733, "y": 0.597342576135592 }, { "code": "C135", "hue": 40, "id": "pareidolic-responsive-environments", "title": "Pareidolic Responsive Environments", "x": 0.5605122971707737, "y": 0.7499174064434263 }, { "code": "C136", "hue": 39, "id": "participatory-generative-art-infrastructure", "title": "Participatory Generative Art Infrastructure", "x": 0.5531502565682342, "y": 0.7875715929704565 }, { "code": "C137", "hue": 11, "id": "pattern-based-animal-survival-navigation-indicators", "title": "Pattern-based animal survival navigation indicators", "x": 0.4476368221002936, "y": 0.7361137147385234 }, { "code": "C138", "hue": 33, "id": "pendular-kinetic-mobility-and-adaptive-ecological-infrastructure-graph", "title": "Pendular Kinetic Mobility and Adaptive Ecological Infrastructure Graph", "x": 0.8061881323328689, "y": 0.9077961448523801 }, { "code": "C139", "hue": 252, "id": "pendulum-cable-security", "title": "Pendulum/cable security", "x": 0.7397088968956611, "y": 0.8606687567461457 }, { "code": "C140", "hue": 97, "id": "pendulum-warehouse-and-vector-latch-logistics", "title": "Pendulum warehouse and vector-latch logistics", "x": 0.7587883327883252, "y": 0.9250325038505276 }, { "code": "C141", "hue": 126, "id": "perceptual-computational-environmental-stack-for-augmented-ecological-reality-systems", "title": "Perceptual-Computational Environmental Stack for Augmented Ecological Reality Systems", "x": 0.4529507532728275, "y": 0.6981730393467153 }, { "code": "C142", "hue": 333, "id": "persistent-ai-mediated-conversational-routing-fabric", "title": "Persistent AI-Mediated Conversational Routing Fabric", "x": 0.29423756060213185, "y": 0.2626992400026329 }, { "code": "C143", "hue": 39, "id": "persistent-ai-mediated-externalized-cognition-loop", "title": "Persistent AI-Mediated Externalized Cognition Loop", "x": 0.2675569287918687, "y": 0.4456782931498103 }, { "code": "C144", "hue": 199, "id": "persistent-conversational-cognitive-infrastructure", "title": "Persistent Conversational Cognitive Infrastructure", "x": 0.3914654654504777, "y": 0.25310160487817585 }, { "code": "C145", "hue": 322, "id": "persistent-friction-as-system-rewriting", "title": "Persistent Friction as System Rewriting", "x": 0.7325250995945087, "y": 0.5447653737907412 }, { "code": "C146", "hue": 72, "id": "personal-use-tinkering-software-as-exploratory-craft", "title": "Personal-Use Tinkering Software as Exploratory Craft", "x": 0.5872337249745998, "y": 0.4075251375007164 }, { "code": "C147", "hue": 273, "id": "personalized-thought-materialization-room", "title": "Personalized thought-materialization room", "x": 0.47815840553772837, "y": 0.6235100444771654 }, { "code": "C148", "hue": 307, "id": "position-aware-audio-installation", "title": "Position-aware audio installation", "x": 0.43873031778577215, "y": 0.6106167671210029 }, { "code": "C149", "hue": 208, "id": "possibility-space-cognitive-mesh", "title": "Possibility-Space Cognitive Mesh", "x": 0.34703903546726245, "y": 0.5904555681947121 }, { "code": "C150", "hue": 277, "id": "post-car-choreographed-flow-city", "title": "Post-Car Choreographed Flow City", "x": 0.7947662995500355, "y": 0.9446095335683775 }, { "code": "C151", "hue": 43, "id": "predictive-living-experience-mesh", "title": "Predictive Living Experience Mesh", "x": 0.7975269797444201, "y": 0.8594676991833021 }, { "code": "C152", "hue": 227, "id": "probability-based-faster-than-light-communication", "title": "Probability-based faster-than-light communication", "x": 0.5143040455552177, "y": 0.3856049278267644 }, { "code": "C153", "hue": 149, "id": "real-time-logistics-for-personal-items-tools-and-materials", "title": "Real-time logistics for personal items, tools, and materials", "x": 0.7697909656329394, "y": 0.8881263384415579 }, { "code": "C154", "hue": 282, "id": "recursive-ai-mediated-externalized-cognition-loop", "title": "Recursive AI-Mediated Externalized Cognition Loop", "x": 0.29859208941327275, "y": 0.3635522633611436 }, { "code": "C155", "hue": 301, "id": "recursive-ai-scaffolded-thought-and-workflow-construction", "title": "Recursive AI-Scaffolded Thought and Workflow Construction", "x": 0.6390327602342702, "y": 0.3058420611331738 }, { "code": "C156", "hue": 50, "id": "recursive-residual-information-chemistry", "title": "Recursive Residual Information Chemistry", "x": 0.7477997581639485, "y": 0.6108289427335356 }, { "code": "C157", "hue": 94, "id": "reference-anchored-embedding-terrains-and-embodied-navigation-interfaces", "title": "Reference-Anchored Embedding Terrains and Embodied Navigation Interfaces", "x": 0.15235153559376435, "y": 0.2693576623245511 }, { "code": "C158", "hue": 79, "id": "regenerative-e-bike-mobility-and-reciprocal-travel-infrastructure", "title": "Regenerative e-bike mobility and reciprocal travel infrastructure", "x": 0.7582115580726665, "y": 0.9632821466752227 }, { "code": "C159", "hue": 105, "id": "relational-provenance-token-economies", "title": "Relational Provenance Token Economies", "x": 0.7350769940535677, "y": 0.647270965655054 }, { "code": "C160", "hue": 254, "id": "schema-contracted-synthetic-execution-graph", "title": "Schema-Contracted Synthetic Execution Graph", "x": 0.9631534631984271, "y": 0.09575262779123173 }, { "code": "C161", "hue": 335, "id": "seed-and-expansion-cognitive-infrastructure", "title": "Seed-and-Expansion Cognitive Infrastructure", "x": 0.5945978583426385, "y": 0.29250202106893775 }, { "code": "C162", "hue": 160, "id": "seed-expanded-human-ai-co-reasoning", "title": "Seed-Expanded Human-AI Co-Reasoning", "x": 0.5403610773636214, "y": 0.470835795344456 }, { "code": "C163", "hue": 95, "id": "seed-reconstructive-information-chemistry", "title": "Seed-Reconstructive Information Chemistry", "x": 0.6926834689433674, "y": 0.5780118540317634 }, { "code": "C164", "hue": 64, "id": "seed-stream-externalized-ideation", "title": "Seed-Stream Externalized Ideation", "x": 0.33965677433645736, "y": 0.3560459452318606 }, { "code": "C165", "hue": 282, "id": "self-directed-cognitive-scaffolding-with-hibernating-execution-layers", "title": "self-directed cognitive scaffolding with hibernating execution layers", "x": 0.664287473723785, "y": 0.36222509615235093 }, { "code": "C166", "hue": 257, "id": "self-directed-exploration-and-role-separation", "title": "Self-directed exploration and role separation", "x": 0.36908545008857535, "y": 0.453901024816455 }, { "code": "C167", "hue": 220, "id": "semantic-commit-memory", "title": "semantic-commit-memory", "x": 0.9064941976955004, "y": 0.34533508633361165 }, { "code": "C168", "hue": 274, "id": "semantic-graph-coordination-for-human-ai-contribution-systems", "title": "Semantic-Graph Coordination for Human-AI Contribution Systems", "x": 0.8841254646142553, "y": 0.12110467714934406 }, { "code": "C169", "hue": 358, "id": "semantic-reflex-network-for-code-systems", "title": "Semantic Reflex Network for Code Systems", "x": 1.0, "y": 0.0 }, { "code": "C170", "hue": 309, "id": "sketch-and-handwriting-native-intent-interface-for-generative-co-creation", "title": "Sketch- and Handwriting-Native Intent Interface for Generative Co-Creation", "x": 0.49987578957096407, "y": 0.45825773605831766 }, { "code": "C171", "hue": 42, "id": "sonic-spatial-augmentation-systems", "title": "Sonic Spatial Augmentation Systems", "x": 0.398682603350403, "y": 0.599429430826914 }, { "code": "C172", "hue": 327, "id": "split-brain-ai-system", "title": "Split-brain AI system", "x": 0.48943961962023724, "y": 0.5144946810667526 }, { "code": "C173", "hue": 4, "id": "stochastic-constraint-field-generative-systems-across-physical-tiles-diffusion-media-and-lottery-allocation", "title": "Stochastic Constraint-Field Generative Systems Across Physical Tiles, Diffusion Media, and Lottery Allocation", "x": 0.583875414405771, "y": 0.625650306803627 }, { "code": "C174", "hue": 195, "id": "suspended-furniture-movable-structures-and-chaotic-construction", "title": "Suspended furniture, movable structures, and chaotic construction", "x": 0.8314265116317541, "y": 0.963100610594078 }, { "code": "C175", "hue": 52, "id": "synthetic-company-operating-benchmark-commons", "title": "Synthetic Company Operating Benchmark Commons", "x": 0.8097482646962133, "y": 0.754095101574046 }, { "code": "C176", "hue": 313, "id": "theme-parks-as-bounded-civilizational-experiments", "title": "Theme parks as bounded civilizational experiments", "x": 0.6253037857623778, "y": 0.6312465290663271 }, { "code": "C177", "hue": 44, "id": "thought-externalization", "title": "thought externalization", "x": 0.2390609256803223, "y": 0.47370806143781996 }, { "code": "C178", "hue": 112, "id": "three-dimensional-go", "title": "Three-dimensional Go", "x": 0.6411410687238777, "y": 0.5723373614796851 }, { "code": "C179", "hue": 157, "id": "uncertainty-preserving-playable-game-systems", "title": "Uncertainty-Preserving Playable Game Systems", "x": 0.6559046667413255, "y": 0.5321514885329223 }, { "code": "C180", "hue": 135, "id": "velcro-like-reconfigurable-cord-or-mesh-physical-space", "title": "Velcro-like reconfigurable cord or mesh physical space", "x": 0.8454652138554264, "y": 0.9212054955587557 }, { "code": "C181", "hue": 49, "id": "voice-ai-externalized-cognition-loop", "title": "Voice-AI Externalized Cognition Loop", "x": 0.3967247894962473, "y": 0.34727679813452295 }, { "code": "C182", "hue": 221, "id": "voice-first-continuous-cognitive-offloading-layer", "title": "Voice-First Continuous Cognitive Offloading Layer", "x": 0.40307212404868326, "y": 0.42174499511600155 }, { "code": "C183", "hue": 42, "id": "wheelchair-first-architecture-and-infrastructure", "title": "Wheelchair-first architecture and infrastructure", "x": 0.7100284047138108, "y": 0.9800320220264256 }, { "code": "C184", "hue": 300, "id": "working-with-chaos-through-stable-attractor-regions", "title": "Working with chaos through stable attractor regions", "x": 0.4181886371980973, "y": 0.676842112114538 } ], "presentation_grammars": [ { "encodes": "membership, strength, direct degree, and fixed world position", "id": "aligned-world-field", "label": "Aligned world field" }, { "encodes": "membership and strength without two-dimensional layout", "id": "affinity-ordered-profile", "label": "Affinity-ordered profile" }, { "encodes": "selected parent, hop depth, and strength", "id": "depth-band", "label": "Depth band" } ], "report_fingerprint": "sha256:e86b16a14d8b4191cc876d4f8ff31219a35d90344ee61a665a62c5dc5137a9b5", "snapshot_id": "sha256:985985de6b2e19670ea4d45bdb87615861ecb43623a394c879d3194331638890", "source_ego_world_fingerprint": "sha256:7b1f018df96efd54437328d49911acfabcc0ffe184f610d11be92aaa2a9acd49", "source_ego_world_version": "recursive-ego-world-r59-connectivity-lenses", "source_measurement_fingerprint": "sha256:d7a7345aaf30d792e62d75c036119b339fd8a0220217d66d9c2c60ed7f7d41bd", "version": "ego-connectivity-visual-experiment-v1", "visible_strength_cutoff": 0.1 }