{
  "ai.module": "general_relativity.rtt1",
  "ai.version": "1.0",
  "ai.purpose": "RTT/1 engine layer for General Relativity: operator grammar, curvature behavior, geodesics, and minimal coherence examples.",
  "ai.keywords": [
    "general relativity",
    "curvature",
    "geodesics",
    "metric",
    "gravity",
    "einstein",
    "operator grammar",
    "rtt1"
  ],

  "engine": {
    "layer": "RTT/1",
    "description": "Defines the operator grammar and dimensional behavior of gravitational geometry within the RTT substrate."
  },

  "operators": {
    "core": {
      "curvature": {
        "type": "geometric_operator",
        "description": "Describes how mass-energy shapes spacetime geometry.",
        "signals": ["ricci_tensor", "riemann_tensor", "scalar_curvature"]
      },
      "geodesic_motion": {
        "type": "trajectory_operator",
        "description": "Determines the natural path of free-falling objects in curved spacetime.",
        "signals": ["geodesic_equation", "parallel_transport"]
      },
      "metric_tensor": {
        "type": "structure",
        "description": "Encodes distances, intervals, and causal structure.",
        "signals": ["interval_signatures", "coordinate_independence"]
      },
      "stress_energy": {
        "type": "source_operator",
        "description": "Represents mass-energy content that generates curvature.",
        "signals": ["energy_density", "momentum_flux"]
      },
      "equivalence_principle": {
        "type": "coherence_rule",
        "description": "Local inertial frames behave identically to special relativity.",
        "signals": ["local_flatness", "uniform_acceleration_equivalence"]
      }
    },

    "supporting": {
      "connection_coefficients": {
        "type": "constraint",
        "description": "Define how vectors change under parallel transport."
      },
      "boundary_conditions": {
        "type": "constraint",
        "description": "Determine behavior at horizons, infinities, and interfaces."
      },
      "weak_field_limit": {
        "type": "approximation",
        "description": "Linearized gravity approximates Newtonian behavior."
      }
    }
  },

  "dimensional_mapping": {
    "R1": "Curvature loses meaning; geometry collapses to primitive interactions.",
    "R2": "Weak-field approximations; partial geometric behavior.",
    "R3": "Full geometric coherence; stable curvature and geodesic structure.",
    "R4": "Smooth-regime extension; large-scale cosmological behavior."
  },

  "coherence": {
    "markers": [
      "covariant conservation of stress-energy",
      "geodesic motion of free-falling bodies",
      "local Lorentz invariance",
      "smooth curvature fields"
    ],
    "instability_signals": [
      "singularities",
      "loss of smoothness",
      "quantum-scale breakdown",
      "coordinate-dependent artifacts"
    ]
  },

  "examples": {
    "minimal": [
      {
        "name": "Schwarzschild Geometry",
        "demonstrates": ["curvature", "geodesics", "horizon_structure"]
      },
      {
        "name": "Gravitational Redshift",
        "demonstrates": ["metric_tensor", "equivalence_principle"]
      },
      {
        "name": "Weak-Field Limit",
        "demonstrates": ["linearized_gravity", "newtonian_approximation"]
      }
    ]
  },

  "integration": {
    "cross_module": [
      "special_relativity.rtt1",
      "quantum_mechanics.rtt1",
      "information_theory.rtt1",
      "cosmology.rtt1"
    ],
    "notes": "RTT/1 treats GR as a geometric coherence theory; substrate-level causes are resolved in RTT/2 and RTT/3."
  }
}