{
  "ai.module": "quantum_mechanics.rtt1",
  "ai.version": "1.0",
  "ai.purpose": "RTT/1 engine layer for Quantum Mechanics: operator grammar, amplitude behavior, measurement, and minimal coherence examples.",
  "ai.keywords": [
    "quantum mechanics",
    "superposition",
    "amplitudes",
    "operators",
    "measurement",
    "eigenstates",
    "coherence",
    "rtt1"
  ],

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

  "operators": {
    "core": {
      "state_vector": {
        "type": "amplitude_structure",
        "description": "Represents the full amplitude configuration of a system.",
        "signals": ["basis_expansion", "phase_structure"]
      },
      "observable_operator": {
        "type": "measurement_generator",
        "description": "Defines measurable quantities and their eigenvalue spectra.",
        "signals": ["eigenbasis", "commutation_relations"]
      },
      "unitary_evolution": {
        "type": "coherence_preserver",
        "description": "Describes how amplitudes evolve without measurement.",
        "signals": ["time_evolution", "phase_rotation"]
      },
      "measurement_operator": {
        "type": "distinction_operator",
        "description": "Maps amplitudes to stable distinctions (outcomes).",
        "signals": ["projection", "collapse_structure"]
      },
      "superposition": {
        "type": "coherence_operator",
        "description": "Represents coexistence of amplitude components prior to distinction.",
        "signals": ["interference_pattern", "phase_relation"]
      }
    },

    "supporting": {
      "commutator": {
        "type": "constraint",
        "description": "Defines compatibility and uncertainty between observables."
      },
      "eigenbasis": {
        "type": "structure",
        "description": "Provides the stable basis for measurement outcomes."
      },
      "density_matrix": {
        "type": "mixed_state_operator",
        "description": "Represents statistical mixtures and partial coherence."
      },
      "uncertainty_relation": {
        "type": "coherence_limit",
        "description": "Defines lower bounds on simultaneous distinctions."
      }
    }
  },

  "dimensional_mapping": {
    "R1": "Primitive amplitude behavior; unstable distinctions; coherence dominates.",
    "R2": "Stable operator algebra; measurement structure; predictable evolution.",
    "R3": "QM becomes a limiting case of QFT; excitation grammar takes over.",
    "R4": "QM loses meaning; macroscopic regimes dominate."
  },

  "coherence": {
    "markers": [
      "unitary evolution",
      "stable eigenvalue spectra",
      "predictable interference patterns",
      "probability conservation"
    ],
    "instability_signals": [
      "decoherence",
      "measurement-induced distinction",
      "loss of amplitude coherence",
      "basis instability"
    ]
  },

  "examples": {
    "minimal": [
      {
        "name": "Two-State Superposition",
        "demonstrates": ["superposition", "measurement_operator"]
      },
      {
        "name": "Spin-1/2 Measurement",
        "demonstrates": ["observable_operator", "eigenbasis"]
      },
      {
        "name": "Unitary Time Evolution",
        "demonstrates": ["unitary_evolution"]
      }
    ]
  },

  "integration": {
    "cross_module": [
      "information_theory.rtt1",
      "quantum_field_theory.rtt1",
      "thermodynamics.rtt1",
      "special_relativity.rtt1"
    ],
    "notes": "RTT/1 treats QM as a coherence grammar; deeper resonance and substrate integration occur in RTT/2 and RTT/3."
  }
}