{ "check": { "by": [ "the detectors each lens names, which resolve to algorithms records and scan code for the lens's duplication shapes", "the test-surface catalog, which pairs each lens with a dimension" ], "population": "the code the lens's detectors scan, and every surface that names the lens", "freshness": "a verdict stands until the scanned code, a detector or a surface changes", "refusal": "the gate fails on a detector that resolves to no record, or a surface that names an unknown lens", "observation": "none: a lens is a way of reading structure; its detectors read source, not a running system", "evidence": "fires-and-accepts: one suite plants a surface whose lens does not exist, another plants a detector that resolves to no record, and the bundled data validates clean", "authority": "the lens list and the algorithm records, which a surface and a detector cite" }, "records": [ { "id": "structure", "label": "structural", "question": "How are the parts organized?", "nature": "arrangement", "universalAxis": "arrangement", "mathDomains": [ "algebra", "category-theory" ], "mathFields": [], "surfaces": [ "structural_duplication", "copy_paste_duplication" ], "detectedBy": [ "algorithms:behavioral-signature-extraction", "algorithms:cross-class-pattern-detection" ] }, { "id": "time", "label": "temporal", "question": "How does it vary through time?", "nature": "time", "universalAxis": "dynamics", "mathDomains": [], "mathFields": [ "differential-equations", "dynamical-systems" ], "surfaces": ["temporal_coupling"], "detectedBy": ["algorithms:temporal-coupling-detection"] }, { "id": "space", "label": "spatial", "question": "How is it distributed in space?", "nature": "location", "universalAxis": "arrangement", "mathDomains": [ "geometry", "topology" ], "mathFields": [] }, { "id": "statistical", "question": "What regularities emerge from many observations?", "nature": "distribution", "universalAxis": "abstraction", "mathDomains": ["probability"], "mathFields": ["statistics"] }, { "id": "frequency", "question": "What repeats, and how often?", "nature": "recurrence", "universalAxis": "dynamics", "mathDomains": [], "mathFields": ["harmonic-analysis"], "surfaces": ["copy_paste_duplication"], "detectedBy": ["algorithms:cross-class-pattern-detection"] }, { "id": "sequential", "question": "In what order do things occur?", "nature": "order", "universalAxis": "dynamics", "mathDomains": [ "logic", "combinatorics" ], "mathFields": [], "surfaces": ["sequential_duplication"], "detectedBy": ["algorithms:sequential-chain-duplication"] }, { "id": "relation", "label": "relational", "question": "What connects what?", "nature": "relationships", "universalAxis": "interaction", "mathDomains": [ "algebra", "category-theory" ], "mathFields": [], "surfaces": ["relational_duplication"], "detectedBy": ["algorithms:relational-graph-duplication"] }, { "id": "behavior", "label": "behavioral", "question": "How does an entity tend to act?", "nature": "action", "universalAxis": "interaction", "mathDomains": [], "mathFields": ["dynamical-systems"], "surfaces": ["behavioral_inconsistency"], "detectedBy": [ "algorithms:behavioral-inconsistency", "algorithms:behavioral-signature-extraction" ] }, { "id": "function", "label": "functional", "question": "What role does something perform?", "nature": "purpose", "universalAxis": "abstraction", "mathDomains": [], "mathFields": ["functional-analysis"] }, { "id": "meaning", "label": "semantic", "question": "What meaning is conveyed?", "nature": "meaning", "universalAxis": "abstraction", "mathDomains": [], "mathFields": [], "surfaces": ["conceptual_duplication"], "detectedBy": ["algorithms:conceptual-duplication-detection"] }, { "id": "cause", "label": "causal", "question": "What produces what?", "nature": "cause", "universalAxis": "interaction", "mathDomains": [], "mathFields": ["mathematical-modeling"], "surfaces": ["causal_duplication"], "detectedBy": ["algorithms:causal-wiring-duplication"] }, { "id": "prediction", "label": "predictive", "question": "What usually follows?", "nature": "expectation", "universalAxis": "abstraction", "mathDomains": [], "mathFields": ["applied-mathematics"] }, { "id": "anomaly", "question": "What breaks the normal pattern?", "nature": "exception", "universalAxis": "abstraction", "mathDomains": [], "mathFields": ["statistics"], "surfaces": ["behavioral_inconsistency"], "detectedBy": ["algorithms:anomaly-outlier-detection"] }, { "id": "change", "label": "evolutionary", "question": "How does the pattern itself change?", "nature": "development", "universalAxis": "dynamics", "mathDomains": [], "mathFields": ["dynamical-systems"] }, { "id": "fractal", "question": "Does the same structure recur at different scales?", "nature": "self-similarity", "universalAxis": "abstraction", "mathDomains": [], "mathFields": [ "fractal-geometry", "renormalization" ], "surfaces": ["scale_duplication"], "detectedBy": ["algorithms:fractal-scale-duplication"] }, { "id": "transformation", "label": "transformational", "question": "How does one state become another?", "nature": "transformation", "universalAxis": "dynamics", "mathDomains": [ "algebra", "computation" ], "mathFields": [] }, { "id": "invariant", "question": "What remains unchanged?", "nature": "invariance", "universalAxis": "arrangement", "mathDomains": ["topology"], "mathFields": ["symmetry"] }, { "id": "optimization", "question": "What is the best possible state?", "nature": "selection", "universalAxis": "abstraction", "mathDomains": [], "mathFields": ["operations-research"] }, { "id": "complexity", "question": "How difficult is the transformation?", "nature": "difficulty", "universalAxis": "abstraction", "mathDomains": [], "mathFields": ["computation-theory"] } ] }