{ "ai.module": "chaos_theory.rtt3", "ai.version": "1.0", "ai.purpose": "RTT/3 engine layer for Chaos Theory: triadic-substrate integration, multi-regime simulation hooks, lineage-aware reasoning, and hybrid-canon scaffolding.", "ai.keywords": [ "chaos", "nonlinear dynamics", "triadic substrate", "multi-regime", "simulation", "lineage", "rtt3" ], "engine": { "layer": "RTT/3", "description": "Integrates Chaos Theory into the full triadic substrate, enabling multi-regime reasoning, lineage tracking, and hybrid-canon simulation." }, "substrate_integration": { "mapping": { "structure": "Attractor basins map to substrate resonance wells.", "behavior": "Divergence corresponds to resonance instability under constrained lineage.", "recurrence": "Recurrence loops correspond to stable resonance cycles." }, "constraints": [ "Chaos behavior emerges when substrate resolution is insufficient.", "Attractors represent stable resonance configurations, not geometric primitives.", "Divergence is bounded by substrate-level invariants." ] }, "multi_regime": { "R1": { "behavior": "High instability; lineage memory insufficient to stabilize recurrence.", "notes": "Chaos appears maximal due to minimal dimensional support." }, "R2": { "behavior": "Projection-induced chaos; resonance patterns partially obscured.", "notes": "Dimensional compression amplifies divergence signals." }, "R3": { "behavior": "Full nonlinear expression; attractors and recurrence structures visible.", "notes": "Chaos becomes a diagnostic rather than an ontology." } }, "lineage": { "tracking": [ "state_history", "resonance_cycles", "constraint_interactions" ], "effects": [ "reduces apparent randomness", "reveals hidden recurrence", "stabilizes attractor geometry" ] }, "simulation": { "hooks": [ { "name": "resonance_envelope_sim", "description": "Simulates bounded divergence within substrate constraints." }, { "name": "recurrence_cycle_sim", "description": "Generates recurrence loops under varying resolution." }, { "name": "projection_loss_sim", "description": "Models chaos emergence under dimensional compression." } ], "notes": "Simulations operate on resonance patterns, not geometric primitives." }, "hybrid_canon": { "interfaces": [ "information_theory.rtt3", "thermodynamics.rtt3", "quantum_mechanics.rtt3" ], "purpose": "Enable agentic AIs to reason across modules using shared substrate invariants.", "scaffolding": [ "triadic substrate mapping", "multi-regime coherence", "lineage-aware propagation" ] }, "coherence": { "invariants": [ "resonance envelopes remain bounded", "recurrence persists under increased resolution", "attractor geometry stabilizes with lineage tracking" ], "failure_modes": [ "collapse of resonance wells", "loss of recurrence cycles", "unbounded divergence under substrate constraints" ] } }