{
  "schema": "geometry_championship_v1_registry",
  "version": 2,
  "evidence_boundary": "Research registry only. A family is not a finding until its lane-specific promotion gate passes on frozen validation scenarios.",
  "core_rule": "No geometry is sacred until it wins. Every pattern must compete. Every champion must be frozen. Every claim must be measurable.",
  "cross_lane_ranking_allowed": false,
  "lanes": {
    "mission_network_routing": {
      "baselines": [
        "dijkstra",
        "a_star",
        "min_cost_flow",
        "k_shortest_redundancy"
      ],
      "metrics": [
        "delivery_rate",
        "path_cost_per_delivery",
        "recovery_steps",
        "maximum_edge_load",
        "messages",
        "runtime_ms"
      ]
    },
    "field_guided_control": {
      "baselines": [
        "euclidean_potential_field",
        "model_predictive_control"
      ],
      "metrics": [
        "goal_completion_rate",
        "path_cost",
        "collision_rate",
        "control_effort",
        "runtime_ms"
      ]
    },
    "packing_topology": {
      "baselines": [
        "square_lattice",
        "triangular_lattice",
        "random_packing",
        "optimized_packing"
      ],
      "metrics": [
        "packing_density",
        "connectivity",
        "failure_tolerance",
        "material_proxy",
        "runtime_ms"
      ]
    },
    "multi_agent_coordination": {
      "baselines": [
        "independent_shortest_path",
        "consensus_control",
        "model_predictive_control"
      ],
      "metrics": [
        "mission_completion_rate",
        "collision_rate",
        "formation_error",
        "messages",
        "runtime_ms"
      ]
    },
    "branching_transport": {
      "baselines": [
        "minimum_spanning_tree",
        "steiner_approximation",
        "min_cost_flow"
      ],
      "metrics": [
        "delivered_flow",
        "energy_proxy",
        "material_proxy",
        "failure_tolerance",
        "runtime_ms"
      ]
    },
    "thermal_ventilation": {
      "baselines": [
        "straight_duct",
        "conventional_hvac_network",
        "cfd_reference"
      ],
      "metrics": [
        "temperature_uniformity",
        "pressure_drop",
        "energy_proxy",
        "recovery_time",
        "runtime_ms"
      ]
    },
    "resource_aware_scheduling": {
      "baselines": [
        "always_on",
        "fixed_sleep_interval",
        "earliest_deadline_first",
        "threshold_wake_policy"
      ],
      "metrics": [
        "task_completion_rate",
        "energy_proxy",
        "wake_latency",
        "missed_deadlines",
        "runtime_ms"
      ]
    },
    "time_series_model_routing": {
      "baselines": [
        "persistence",
        "seasonal_naive",
        "ridge_feature_baseline",
        "mlp_budget_matched_baseline"
      ],
      "metrics": [
        "mae",
        "rmse",
        "calibration_error",
        "abstention_rate",
        "regime_failure_rate",
        "runtime_ms"
      ]
    },
    "stability_diagnostic": {
      "baselines": [
        "spectral_norm",
        "condition_number",
        "perturbation_response"
      ],
      "metrics": [
        "frobenius_delta",
        "spectral_delta",
        "condition_delta",
        "output_sensitivity"
      ]
    },
    "ideal_gravity_descent": {
      "baselines": [
        "straight_incline",
        "circular_arc",
        "numerical_time_optimization"
      ],
      "metrics": [
        "descent_time",
        "endpoint_residual",
        "quadrature_convergence",
        "runtime_ms"
      ]
    },
    "visualization_and_evidence_navigation": {
      "baselines": [
        "plain_points",
        "uniform_sphere",
        "flat_table_or_list"
      ],
      "metrics": [
        "formula_residual",
        "render_cost",
        "export_integrity",
        "reviewer_task_completion"
      ]
    }
  },
  "families": [
    {
      "id": "mycelium_network",
      "label": "Mycelium or fungus network",
      "lane": "mission_network_routing",
      "status": "legacy_analogue_only",
      "located_source": "C:/LumaQuantLab/CANONICAL_RESEARCH_STACK_20260324T043204Z/current/scripts/luma_v2_pipeline.py",
      "located_result": "Negative portfolio result; ranked last in V2, V3, and V4. No routing implementation.",
      "aliases": [
        "mycelium",
        "fungus network",
        "fungal network"
      ]
    },
    {
      "id": "slime_mold_routing",
      "label": "Slime mold routing",
      "lane": "mission_network_routing",
      "status": "specification_only"
    },
    {
      "id": "magnetic_field_geometry",
      "label": "Magnetic field geometry",
      "lane": "field_guided_control",
      "status": "specification_only"
    },
    {
      "id": "toroidal_fields",
      "label": "Toroidal fields",
      "lane": "field_guided_control",
      "status": "legacy_transform_only"
    },
    {
      "id": "halbach_arrays",
      "label": "Halbach arrays",
      "lane": "field_guided_control",
      "status": "specification_only"
    },
    {
      "id": "flower_of_life_hexagonal_packing",
      "label": "Flower of Life or hexagonal packing",
      "lane": "packing_topology",
      "status": "concept_only",
      "aliases": [
        "honeycomb",
        "hexagonal tiling",
        "Flower of Life circle-packing motif"
      ]
    },
    {
      "id": "non_euclidean_geodesics",
      "label": "Non-Euclidean geodesics",
      "lane": "mission_network_routing",
      "status": "specification_only"
    },
    {
      "id": "frobenius_stability",
      "label": "Frobenius stability tests",
      "lane": "stability_diagnostic",
      "status": "diagnostic_specification",
      "competitor": false
    },
    {
      "id": "bee_foraging_paths",
      "label": "Bee foraging or waggle-routing paths",
      "lane": "mission_network_routing",
      "status": "specification_only"
    },
    {
      "id": "bird_v_formation_flocking",
      "label": "Bird V-formation or flocking",
      "lane": "multi_agent_coordination",
      "status": "specification_only"
    },
    {
      "id": "wolf_pack_pursuit_paths",
      "label": "Wolf-pack pursuit or encirclement paths",
      "lane": "multi_agent_coordination",
      "status": "specification_only"
    },
    {
      "id": "ant_trails",
      "label": "Ant trails",
      "lane": "mission_network_routing",
      "status": "specification_only"
    },
    {
      "id": "river_deltas",
      "label": "River deltas",
      "lane": "branching_transport",
      "status": "specification_only"
    },
    {
      "id": "leaf_veins",
      "label": "Leaf veins",
      "lane": "branching_transport",
      "status": "specification_only"
    },
    {
      "id": "vascular_lung_branching",
      "label": "Vascular or lung branching",
      "lane": "branching_transport",
      "status": "specification_only",
      "aliases": [
        "branching tree",
        "tree-inspired transport",
        "bronchial branching"
      ],
      "claim_boundary": "Branching-network research. The symbolic Tree of Life has no single universally governing equation."
    },
    {
      "id": "termite_mound_ventilation",
      "label": "Termite mound ventilation",
      "lane": "thermal_ventilation",
      "status": "specification_only"
    },
    {
      "id": "hibernation_bounded_wake_logic",
      "label": "Hibernation or bounded wake logic",
      "lane": "resource_aware_scheduling",
      "status": "specification_only"
    },
    {
      "id": "hybrid_flowforms",
      "label": "Hybrid flowform transforms",
      "lane": "time_series_model_routing",
      "status": "legacy_transform_only",
      "located_result": "Exploratory flowform transforms exist, but no leakage-resistant lane-specific promotion run has passed."
    },
    {
      "id": "brachistochrone_cycloid",
      "label": "Brachistochrone / cycloidal descent",
      "lane": "ideal_gravity_descent",
      "status": "specification_only",
      "claim_boundary": "Cycloid minimizes descent time only for the declared ideal uniform-gravity, frictionless point-mass problem; not a universal shortest or fastest signal route.",
      "added_utc": "2026-10-04",
      "legacy_name_reference": "code/institutional_harmonic_suite.py: ff_brachistochrone is a time-series weighting transform, not a gravity-descent or signal-transport implementation."
    },
    {
      "id": "sunflower_phyllotaxis",
      "label": "Sunflower / phyllotactic packing",
      "lane": "packing_topology",
      "status": "specification_only",
      "claim_boundary": "A point-placement rule inspired by phyllotaxis; no automatic transport, energy or communications advantage.",
      "added_utc": "2026-10-04"
    },
    {
      "id": "voronoi_partition",
      "label": "Voronoi partitions",
      "lane": "packing_topology",
      "status": "specification_only",
      "claim_boundary": "Nearest-site partition under a specified metric; performance depends on task and site placement.",
      "added_utc": "2026-10-04"
    },
    {
      "id": "platonic_solids",
      "label": "Platonic solids",
      "lane": "packing_topology",
      "status": "visualization_only",
      "claim_boundary": "Five regular convex polyhedra, not a complete or experimentally established list of shapes making up reality.",
      "added_utc": "2026-10-04",
      "members": [
        "tetrahedron",
        "cube",
        "octahedron",
        "dodecahedron",
        "icosahedron"
      ]
    },
    {
      "id": "gyroid_nodal_surface",
      "label": "Gyroid nodal approximation",
      "lane": "packing_topology",
      "status": "visualization_only",
      "claim_boundary": "The trigonometric zero level set is an approximation, not an exact minimal gyroid or a flow/thermal result.",
      "added_utc": "2026-10-04",
      "located_source": "dashboard/bounded-light/observatory/geometry.mjs"
    },
    {
      "id": "hopf_fibers",
      "label": "Projected Hopf fibers",
      "lane": "visualization_and_evidence_navigation",
      "status": "visualization_only",
      "claim_boundary": "Finite stereographic projections of selected S3 fibers; linking does not establish signal transmission or quantum behavior.",
      "added_utc": "2026-10-04",
      "located_source": "dashboard/bounded-light/observatory/geometry.mjs"
    },
    {
      "id": "trefoil_tube",
      "label": "Trefoil tube",
      "lane": "visualization_and_evidence_navigation",
      "status": "visualization_only",
      "claim_boundary": "A sampled tube around a (2,3) torus knot; shape construction is separate from physical flow.",
      "added_utc": "2026-10-04",
      "located_source": "dashboard/bounded-light/observatory/geometry.mjs"
    },
    {
      "id": "superformula_shell",
      "label": "Superformula shell",
      "lane": "visualization_and_evidence_navigation",
      "status": "visualization_only",
      "claim_boundary": "Parametric shell derived from Gielis curves; no mechanics or material optimization is established.",
      "added_utc": "2026-10-04",
      "located_source": "dashboard/bounded-light/observatory/geometry.mjs"
    }
  ],
  "promotion_gate": {
    "versioned_definition": true,
    "preregistered_task_and_failure_criterion": true,
    "budget_matched_baselines": true,
    "frozen_development_and_validation_scenarios": true,
    "minimum_validation_folds": 5,
    "paired_uncertainty_interval": true,
    "multiple_comparison_control": true,
    "runtime_and_resource_measurement": true,
    "sha256_manifest": true,
    "negative_results_retained": true,
    "independent_or_representative_validation_required_for_operational_claim": true
  },
  "updated_utc": "2026-10-04",
  "catalog_boundary": "26 candidate families across 11 task lanes; this is a catalog expansion, not 26 validated geometries or a new performance champion. Five Platonic solids are members of one family, not five additional experiments."
}