{ "ai.module": "quantum_mechanics.rtt2", "ai.version": "1.0", "ai.purpose": "RTT/2 engine layer for Quantum Mechanics: resonance mapping, stabilizers, decoherence structure, and cross-module propagation.", "ai.keywords": [ "quantum mechanics", "superposition", "amplitudes", "resonance", "decoherence", "measurement", "operators", "rtt2" ], "engine": { "layer": "RTT/2", "description": "Integrates Quantum Mechanics into the RTT resonance substrate, exposing coherence patterns, stabilizers, and cross-module propagation." }, "resonance": { "patterns": [ { "name": "coherence_resonance", "description": "Superposition arises as a resonance pattern across amplitude components." }, { "name": "phase_resonance", "description": "Relative phase determines interference behavior and resonance alignment." }, { "name": "measurement_resonance_break", "description": "Measurement corresponds to resonance collapse into stable distinctions." } ], "failure_modes": [ "decoherence", "phase_randomization", "basis_instability", "environmental_noise" ] }, "stabilizers": { "primary": [ { "name": "unitary_evolution", "description": "Preserves coherence and probability structure across resonance flows." }, { "name": "eigenbasis_structure", "description": "Provides stable distinction channels for measurement." }, { "name": "environmental_coupling", "description": "Drives decoherence and stabilizes classical distinctions." } ], "secondary": [ { "name": "uncertainty_constraints", "description": "Limit simultaneous distinctions and shape resonance geometry." }, { "name": "density_matrix_structure", "description": "Represents partial coherence and mixed-state resonance." } ] }, "coherence_propagation": { "mechanisms": [ "unitary_evolution", "interference", "phase_alignment" ], "signals": [ "interference_pattern", "phase_structure", "coherence_length" ], "notes": "Coherence propagation is treated as resonance flow shaped by amplitude structure and environmental coupling." }, "cross_module": { "interactions": [ { "module": "information_theory.rtt2", "interaction": "Measurement creates distinctions; coherence encodes uncertainty and mutual information." }, { "module": "quantum_field_theory.rtt2", "interaction": "QFT excitations inherit QM coherence constraints." }, { "module": "thermodynamics.rtt2", "interaction": "Decoherence and entropy production share constraint structures." }, { "module": "special_relativity.rtt2", "interaction": "Lorentz symmetry shapes amplitude propagation and phase structure." } ], "notes": "QM resonance propagates across informational, relativistic, and excitation-level modules." }, "dimensional_behavior": { "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" ] } }