{ "schema_id": "ucns.gonol-relationship-display", "schema_version": "0.1.0", "authority": "Erin Spencer", "recorded_on": "2026-08-03", "record_status": "authority-declared-option-preserving-proposal", "selection_effect": "none", "primitive_arities": [1, 2, 3, 7], "scale_contract": { "admission": "any-declared-native-scale", "display_policy_id": "ucns.display.relation-equalized", "display_policy_version": "0.1.0", "display_radius": 1, "native_scale_retained": true, "visible_radius_represents_native_scale": false, "comparison_policy_default": null, "comparison_policy_required_for_result": true, "information_loss": [ "native-scale magnitude is not encoded by visible radius", "continuous Mobius band width and local-frame motion are not encoded by the centerline projection" ] }, "primitives": [ { "arity": 1, "primitive_id": "single-mobius", "projection_id": "figure-eight-centerline", "operand_count": 1, "pairwise_receipt_count": 0, "geometry_standing": "declared-static-projection", "path": { "parameter": "t in [0, 2*pi)", "x": "sin(t)", "y": "sin(t)*cos(t)" }, "crossing_semantics": "two traversal occurrences at one projected coordinate; not a vertex, seam, second gonol, or Structural Null", "continuous_frame_required_for_motion": true }, { "arity": 2, "primitive_id": "vesica-mobius", "projection_id": "equal-circle-vesica-piscis", "operand_count": 2, "pairwise_receipt_count": 1, "geometry_standing": "declared-static-projection", "operand_radius": 1, "centers": [ {"operand_slot": "A", "x_exact": "-1/2", "y_exact": "0", "x_binary64": -0.5, "y_binary64": 0}, {"operand_slot": "B", "x_exact": "1/2", "y_exact": "0", "x_binary64": 0.5, "y_binary64": 0} ], "center_distance": 1, "visible_boundary_intersections": 2, "intersection_points_exact": [ {"x": "0", "y": "sqrt(3)/2"}, {"x": "0", "y": "-sqrt(3)/2"} ], "pairwise_vesicas": [["A", "B"]], "scope_circle": {"center": "operand midpoint", "radius": 1.5}, "relationship_circle": {"center": "operand midpoint", "radius": 0.5}, "derived_circle_semantics": "display layers only; no implicit operand, gonol, vertex, or Structural Null promotion" }, { "arity": 3, "primitive_id": "triquetra-retained-vesicas", "projection_id": "equilateral-three-circle-triquetra", "operand_count": 3, "pairwise_receipt_count": 3, "geometry_standing": "declared-static-projection", "operand_radius": 1, "centers": [ {"operand_slot": "A", "x_exact": "-1/2", "y_exact": "-sqrt(3)/6", "x_binary64": -0.5, "y_binary64": -0.28867513459481287}, {"operand_slot": "B", "x_exact": "1/2", "y_exact": "-sqrt(3)/6", "x_binary64": 0.5, "y_binary64": -0.28867513459481287}, {"operand_slot": "C", "x_exact": "0", "y_exact": "sqrt(3)/3", "x_binary64": 0, "y_binary64": 0.5773502691896257} ], "pairwise_vesicas": [["A", "B"], ["B", "C"], ["C", "A"]], "each_vesica_retained": true, "coordinate_coincidences_merge_occurrences": false, "joint_overlap_semantics": "joint context; not an implicit fourth pair, gonol, or vertex" }, { "arity": 7, "primitive_id": "full-ucns-seven", "projection_id": null, "operand_count": 7, "pairwise_receipt_count": null, "geometry_standing": "hmmm-unresolved", "pairing_plan_required": true, "forbidden_implicit_substitutions": ["flower-of-life", "heptagon", "complete-graph", "seven-circle-rosette"] } ], "public_gonol": { "id": "public-gonol-157", "arity": 157, "token_identity": "unicode-code-point", "source_repository": "The-Interdependency/a0-betatest", "source_commit": "7af8debf6ef3905f01baff02b43d8c3bee16ccbc", "source_path": "backend/interdependent_lib/gonal/gonal.py", "sha256": "55d10c84529a4d7bc7714786357e977b68d9df2ac3f73d20e229580b552c2ef5", "origin_position": 0, "origin_token": " ", "digit_zero_position": 139, "normalization": "none-preserve-source", "space_manifestation_code_points": [ "U+0009", "U+000A", "U+000B", "U+000C", "U+000D", "U+0020", "U+0085", "U+00A0", "U+1680", "U+2000", "U+2001", "U+2002", "U+2003", "U+2004", "U+2005", "U+2006", "U+2007", "U+2008", "U+2009", "U+200A", "U+2028", "U+2029", "U+202F", "U+205F", "U+3000" ], "space_semantics": "source-preserved boundary and superpositioned nesting interface; not a word-gonol vertex", "occurrence_address_vector": ["source_ordinal", "unicode_scalar_value", "carrier_position_or_null"], "vector_standing": "identity-and-address-evidence-not-geometric-embedding", "tokens": [ " ", "A", "!", "\"", "B", "#", "$", "C", "%", "(", "D", "&", "'", "E", "1", "*", "F", "+", "[", "G", ",", "-", "H", ".", "/", "I", "3", "{", "J", ":", ";", "K", "=", "?", "L", "<", "@", "M", "5", "\\", "N", "^", "_", "O", "‘", "`", "P", "|", "~", "Q", "7", "…", "R", "“", "—", "S", "–", "·", "T", "°", "«", "U", "9", "±", "V", "×", "÷", "W", "√", "∂", "X", "∫", "∑", "Y", "∏", "∇", "Z", "∞", "≈", "≠", "a", "≤", "≥", "b", "→", "←", "c", ")", "↑", "d", "↓", "2", "e", "↔", "⊕", "f", "]", "⊗", "g", "⊙", "⊘", "h", "∈", "4", "i", "}", "∉", "j", "⊂", "⊃", "k", "⊆", ">", "l", "⊇", "6", "m", "∩", "∪", "n", "∧", "’", "o", "∨", "¬", "p", "∀", "8", "q", "∃", "”", "r", "⊢", "⊨", "s", "∴", "∵", "t", "»", "0", "u", "≡", "ψ", "v", "φ", "ω", "w", "α", "β", "x", "γ", "δ", "y", "λ", "π", "z", "σ" ] }, "receipt_schema": "ucns.gonol-relationship-receipt/0.1.0", "nonclaims": [ "not a complete UCNSObject", "not a selected Mobius embedding or continuous motion law", "not canonical structural or numerical comparison", "not a higher-gonol composition law", "not a completed English lexical-floor embedding", "not proof, measurement, empirical, certification, or producer-authentication evidence" ], "hmmm": [ "continuous local-frame geometry across the Mobius band", "seven-gonol display geometry and pairing plan", "promotion law for derived scope or relationship circles", "cross-scope and higher-gonol composition", "English root policy, lexical source completion, and hyperdimensional embedding law" ] }