{
  "ai.module": "chaos_theory.rtt2",
  "ai.version": "1.0",
  "ai.purpose": "RTT/2 engine layer for Chaos Theory: resonance mapping, stabilizers, recurrence structures, and cross-module propagation.",
  "ai.keywords": [
    "chaos",
    "nonlinear dynamics",
    "resonance",
    "stabilizers",
    "recurrence",
    "rtt2"
  ],

  "engine": {
    "layer": "RTT/2",
    "description": "Integrates Chaos Theory into the RTT resonance substrate, exposing stabilizers, recurrence structures, and cross-module propagation patterns."
  },

  "resonance": {
    "patterns": [
      {
        "name": "bounded_divergence",
        "description": "Divergence that remains within system constraints, forming stable resonance envelopes."
      },
      {
        "name": "recurrence_loops",
        "description": "Return of system states to resonance neighborhoods, forming quasi-periodic structures."
      },
      {
        "name": "attractor_resonance",
        "description": "Attractor geometry interpreted as a resonance basin rather than a geometric artifact."
      }
    ],
    "failure_modes": [
      "unbounded divergence",
      "loss of recurrence",
      "collapse of attractor geometry"
    ]
  },

  "stabilizers": {
    "primary": [
      {
        "name": "constraint_geometry",
        "description": "System-level boundaries that limit divergence and shape attractor basins."
      },
      {
        "name": "energy_distribution",
        "description": "Energy flow patterns that maintain recurrence and prevent collapse."
      }
    ],
    "secondary": [
      {
        "name": "lineage_memory",
        "description": "Historical state influence that reduces apparent randomness under higher resolution."
      }
    ]
  },

  "recurrence_structures": {
    "types": [
      "quasi_periodic",
      "multi-basin",
      "nested_recurrence"
    ],
    "signals": [
      "pattern_return",
      "bounded_state_space",
      "stable resonance envelopes"
    ]
  },

  "propagation": {
    "cross_module": [
      {
        "module": "information_theory.rtt2",
        "interaction": "entropy bounds define divergence thresholds."
      },
      {
        "module": "thermodynamics.rtt2",
        "interaction": "energy flow stabilizes or destabilizes recurrence."
      },
      {
        "module": "quantum_mechanics.rtt2",
        "interaction": "projection effects mimic chaotic behavior under low resolution."
      }
    ],
    "notes": "Chaos behavior propagates through RTT/2 as resonance instability rather than fundamental randomness."
  },

  "dimensional_behavior": {
    "R1": "High instability; lineage memory insufficient to stabilize recurrence.",
    "R2": "Projection-induced chaos; resonance patterns partially obscured.",
    "R3": "Full nonlinear expression; attractors and recurrence structures visible."
  },

  "coherence": {
    "markers": [
      "stable resonance envelopes",
      "bounded divergence",
      "persistent recurrence loops"
    ],
    "instability_signals": [
      "collapse of attractor structure",
      "unbounded divergence",
      "loss of recurrence under increased resolution"
    ]
  }
}