{ "ai.module": "general_relativity.rtt2", "ai.version": "1.0", "ai.purpose": "RTT/2 engine layer for General Relativity: resonance mapping, stabilizers, gravitational coherence, and cross-module propagation.", "ai.keywords": [ "general relativity", "curvature", "gravity", "resonance", "geodesics", "rtt2" ], "engine": { "layer": "RTT/2", "description": "Integrates General Relativity into the RTT resonance substrate, exposing stabilizers, curvature behavior, and cross-module propagation patterns." }, "resonance": { "patterns": [ { "name": "curvature_resonance", "description": "Mass-energy induces stable geometric resonance patterns interpreted as curvature." }, { "name": "geodesic_resonance", "description": "Free-fall motion emerges from resonance alignment with curvature fields." }, { "name": "metric_resonance", "description": "Metric structure reflects stable resonance channels in smooth regimes." } ], "failure_modes": [ "singularity_formation", "loss_of_smoothness", "quantum_scale_decoherence", "strong_field_instability" ] }, "stabilizers": { "primary": [ { "name": "stress_energy_distribution", "description": "Mass-energy patterns stabilize curvature fields and geodesic structure." }, { "name": "local_lorentz_invariance", "description": "Ensures coherence of local inertial frames across the manifold." }, { "name": "covariant_conservation", "description": "Stress-energy conservation maintains geometric stability." } ], "secondary": [ { "name": "spacetime_symmetries", "description": "Symmetries such as spherical or axial symmetry stabilize curvature solutions." }, { "name": "boundary_conditions", "description": "Horizon and infinity conditions shape resonance behavior." } ] }, "gravitational_behavior": { "types": [ "geodesic_motion", "gravitational_redshift", "time_dilation", "frame_dragging" ], "signals": [ "metric_variation", "curvature_strength", "stress_energy_flux" ] }, "propagation": { "cross_module": [ { "module": "quantum_mechanics.rtt2", "interaction": "Quantum-scale projection effects disrupt smooth curvature." }, { "module": "information_theory.rtt2", "interaction": "Entropy bounds constrain gravitational coherence." }, { "module": "cosmology.rtt2", "interaction": "Large-scale curvature patterns propagate into cosmological dynamics." } ], "notes": "GR propagation in RTT/2 is treated as resonance behavior shaped by substrate invariants, not as fundamental spacetime ontology." }, "dimensional_behavior": { "R1": "Curvature loses meaning; gravitational behavior collapses to primitive interactions.", "R2": "Weak-field approximations; partial geometric resonance.", "R3": "Full geometric coherence; stable curvature and geodesic structure.", "R4": "Smooth-regime extension; large-scale cosmological resonance." }, "coherence": { "markers": [ "stable curvature fields", "predictable geodesic motion", "covariant conservation", "local Lorentz invariance" ], "instability_signals": [ "singularities", "loss of smoothness", "quantum-scale breakdown", "coordinate-dependent artifacts" ] } }