{ "ai.module": "general_relativity", "ai.version": "1.0", "ai.purpose": "Provide a regime-aware, geometric-coherence interface to General Relativity as a macroscopic curvature theory.", "ai.keywords": [ "general relativity", "curvature", "spacetime", "geodesics", "gravity", "einstein", "geometry", "triadic frameworks" ], "identity": { "name": "General Relativity", "category": "Scientific Theory", "summary": "A geometric coherence theory describing gravity as curvature of spacetime produced by mass-energy.", "regime": ["R3→R4", "R3", "R2"], "status": "canon-ready" }, "lineage": { "originators": ["Albert Einstein", "David Hilbert", "Karl Schwarzschild"], "historical_period": "20th Century", "source_domain": "Geometric Field Theory", "related_theories": [ "special_relativity", "quantum_mechanics", "cosmology", "information_theory" ], "notes": "General Relativity describes macroscopic geometric behavior. Curvature is a coherence-level description, not a substrate-level ontology." }, "operators": { "primary": [ "curvature", "geodesic_motion", "stress_energy", "metric_tensor", "gravitational_redshift" ], "secondary": [ "connection_coefficients", "spacetime_symmetries", "boundary_conditions", "weak_field_approximation" ], "description": "Operators describe geometric relationships between mass-energy, curvature, and motion in smooth regimes." }, "drift": { "risks": [ "treating spacetime as a physical substance", "assuming curvature is ontological", "overextending GR into quantum regimes", "interpreting coordinates as physical entities" ], "boundaries": [ "GR is geometric, not substrate-level", "curvature emerges from deeper operators", "smooth-regime assumptions break at small scales", "coordinate choices do not define physics" ] }, "coherence": { "invariants": [ "geodesic motion in curved spacetime", "equivalence principle", "covariant conservation of stress-energy", "local Lorentz invariance" ], "failure_modes": [ "singularities", "quantum-scale breakdown", "loss of smoothness", "strong-field decoherence" ] }, "cross_module": { "supports": [ "cosmology", "astrophysics", "information_theory" ], "supported_by": [ "special_relativity", "dimensional_analysis", "regime_awareness" ], "integration_notes": "GR integrates cleanly with RTT engines as a geometric coherence theory operating near the R3→R4 boundary." } }