{
  "ai.module": "quantum_field_theory.rtt1",
  "ai.version": "1.0",
  "ai.purpose": "RTT/1 engine layer for Quantum Field Theory: operator grammar, excitation behavior, propagators, and minimal coherence examples.",
  "ai.keywords": [
    "quantum field theory",
    "qft",
    "excitations",
    "operators",
    "propagators",
    "symmetries",
    "lagrangian",
    "rtt1"
  ],

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

  "operators": {
    "core": {
      "creation_operator": {
        "type": "excitation_generator",
        "description": "Creates excitations in a given mode of the field.",
        "signals": ["mode_index", "excitation_number"]
      },
      "annihilation_operator": {
        "type": "excitation_removal",
        "description": "Removes excitations from a given mode of the field.",
        "signals": ["mode_index", "vacuum_structure"]
      },
      "propagator": {
        "type": "correlation_operator",
        "description": "Describes how excitations propagate between points or modes.",
        "signals": ["correlation_decay", "phase_structure"]
      },
      "lagrangian_density": {
        "type": "structure_operator",
        "description": "Encodes the dynamics, symmetries, and interaction terms of the field.",
        "signals": ["kinetic_term", "interaction_term", "symmetry_constraints"]
      },
      "symmetry_generator": {
        "type": "coherence_rule",
        "description": "Defines transformations that preserve excitation structure.",
        "signals": ["group_action", "conserved_quantity"]
      }
    },

    "supporting": {
      "vacuum_structure": {
        "type": "baseline_state",
        "description": "Defines the lowest-energy excitation configuration."
      },
      "interaction_vertex": {
        "type": "interaction_operator",
        "description": "Specifies how excitations interact at points or modes."
      },
      "renormalization": {
        "type": "coherence_repair",
        "description": "Stabilizes excitation behavior by absorbing divergences."
      },
      "path_integral": {
        "type": "summation_operator",
        "description": "Represents amplitudes as sums over possible histories."
      }
    }
  },

  "dimensional_mapping": {
    "R1": "Excitations lose meaning; operators collapse to primitive interactions.",
    "R2": "Local excitations, propagators, and operator algebra behave coherently.",
    "R3": "Symmetry-driven interaction structure; stable excitation spectra.",
    "R4": "Large-scale effective field behavior; geometric coupling emerges."
  },

  "coherence": {
    "markers": [
      "unitarity",
      "stable excitation spectra",
      "symmetry conservation",
      "predictable propagator behavior"
    ],
    "instability_signals": [
      "divergences",
      "strong-coupling decoherence",
      "symmetry breaking instabilities",
      "vacuum instability"
    ]
  },

  "examples": {
    "minimal": [
      {
        "name": "Harmonic Oscillator Mode",
        "demonstrates": ["creation_operator", "annihilation_operator"]
      },
      {
        "name": "Scalar Field Propagator",
        "demonstrates": ["propagator", "vacuum_structure"]
      },
      {
        "name": "U(1) Symmetry",
        "demonstrates": ["symmetry_generator", "conserved_quantity"]
      }
    ]
  },

  "integration": {
    "cross_module": [
      "quantum_mechanics.rtt1",
      "special_relativity.rtt1",
      "information_theory.rtt1",
      "standard_model.rtt1"
    ],
    "notes": "RTT/1 treats QFT as an excitation grammar; deeper resonance and substrate integration occur in RTT/2 and RTT/3."
  }
}