{ "ai.module": "quantum_mechanics", "ai.version": "1.0", "ai.purpose": "Provide a regime-aware, amplitude-first interface to Quantum Mechanics as a coherence grammar of operators, superposition, and measurement.", "ai.keywords": [ "quantum mechanics", "superposition", "amplitudes", "operators", "measurement", "eigenstates", "coherence", "triadic frameworks" ], "identity": { "name": "Quantum Mechanics", "category": "Scientific Theory", "summary": "A coherence-level grammar describing amplitudes, operators, superposition, and measurement in regimes where distinctions are not yet stable.", "regime": ["R1→R2", "R1", "R2"], "status": "canon-ready" }, "lineage": { "originators": [ "Max Planck", "Niels Bohr", "Werner Heisenberg", "Erwin Schrödinger", "Paul Dirac" ], "historical_period": "20th Century", "source_domain": "Quantum Theory and Mathematical Physics", "related_theories": [ "quantum_field_theory", "information_theory", "thermodynamics", "special_relativity" ], "notes": "Quantum Mechanics describes coherence, amplitudes, and measurement. It is a grammar of possibilities, not a literal ontology of waves or particles." }, "operators": { "primary": [ "state_vector", "observable_operator", "unitary_evolution", "measurement_operator", "superposition" ], "secondary": [ "commutator", "eigenbasis", "density_matrix", "uncertainty_relation" ], "description": "Operators describe how amplitudes evolve, interfere, and collapse into distinctions under measurement." }, "drift": { "risks": [ "treating wavefunctions as physical waves", "interpreting collapse as a physical event", "assuming particles have classical trajectories", "overextending QM into macroscopic regimes" ], "boundaries": [ "QM is a coherence grammar, not ontology", "superposition reflects amplitude structure", "measurement creates distinctions", "QM yields to QFT in R2→R3" ] }, "coherence": { "invariants": [ "unitary evolution", "probability conservation", "operator algebra", "stable eigenvalue spectra" ], "failure_modes": [ "decoherence", "measurement-induced distinction", "loss of amplitude coherence", "regime collapse at large scales" ] }, "cross_module": { "supports": [ "quantum_field_theory", "information_theory", "computation", "thermodynamics" ], "supported_by": [ "probability_theory", "linear_algebra", "regime_awareness" ], "integration_notes": "QM integrates cleanly with RTT engines as a coherence grammar operating in R1→R2, bridging primitive amplitudes and excitation-level QFT." } }