{ "ai.module": "quantum_mechanics.rtt3", "ai.version": "1.0", "ai.purpose": "RTT/3 engine layer for Quantum Mechanics: triadic-substrate integration, multi-regime simulation hooks, coherence-resonance mapping, and hybrid-canon scaffolding.", "ai.keywords": [ "quantum mechanics", "superposition", "amplitudes", "substrate", "resonance", "decoherence", "measurement", "rtt3" ], "engine": { "layer": "RTT/3", "description": "Integrates Quantum Mechanics into the triadic substrate, enabling multi-regime reasoning, coherence propagation, and hybrid-canon simulation." }, "substrate_integration": { "mapping": { "structure": "Amplitudes correspond to substrate resonance configurations; superposition reflects overlapping resonance modes.", "behavior": "Unitary evolution emerges from stable resonance flow across substrate channels.", "measurement": "Measurement corresponds to resonance collapse into stable distinction channels." }, "constraints": [ "Coherence requires stable substrate resonance.", "Environmental coupling drives decoherence.", "Propagation speed and locality are substrate invariants within regime." ] }, "multi_regime": { "R1": { "behavior": "Primitive amplitude behavior; unstable distinctions; coherence dominates.", "notes": "Superposition is unconstrained; measurement channels weak." }, "R2": { "behavior": "Stable operator algebra; measurement structure; predictable evolution.", "notes": "Canonical QM behavior emerges here." }, "R3": { "behavior": "QM becomes a limiting case of QFT; excitation grammar takes over.", "notes": "Amplitude-level coherence yields to excitation-level resonance." }, "R4": { "behavior": "QM loses meaning; macroscopic regimes dominate.", "notes": "Distinctions stable; coherence negligible." } }, "lineage": { "tracking": [ "coherence_history", "phase_structure_evolution", "measurement_channel_stability", "environmental_coupling_drift" ], "effects": [ "stabilizes amplitude behavior", "reveals long-term coherence patterns", "reduces apparent paradoxes", "enables cross-regime coherence" ] }, "simulation": { "hooks": [ { "name": "coherence_resonance_sim", "description": "Simulates superposition as resonance patterns across amplitude components." }, { "name": "phase_alignment_sim", "description": "Models interference and phase-driven resonance behavior." }, { "name": "decoherence_flow_sim", "description": "Simulates environmental coupling and resonance collapse into distinctions." }, { "name": "regime_transition_sim", "description": "Simulates breakdown of QM coherence across R1→R2→R3 transitions." } ], "notes": "Simulations operate on resonance patterns and substrate invariants, not on wavefunctions as physical waves." }, "hybrid_canon": { "interfaces": [ "information_theory.rtt3", "quantum_field_theory.rtt3", "thermodynamics.rtt3", "special_relativity.rtt3" ], "purpose": "Enable agentic AIs to reason across quantum, informational, and relativistic modules using shared substrate invariants.", "scaffolding": [ "triadic substrate mapping", "multi-regime coherence", "coherence-resonance integration", "measurement-distinction coupling" ] }, "coherence": { "invariants": [ "unitary evolution", "probability conservation", "stable eigenvalue spectra", "predictable interference patterns" ], "failure_modes": [ "decoherence", "measurement-induced distinction", "loss of amplitude coherence", "basis instability" ] } }