CDQM: Constraint-Driven Quantum Mechanics (Final)

CDQM (Constraint-Driven Quantum Mechanics) is a gate framework for validating quantum-mechanical models at the level of Hamiltonians, states, and measurements. It enforces necessary groundedness constraints: Hilbert-space specification and domain clarity, Hermiticity/self-adjointness of generators (for closed systems), unitary evolution and norm preservation, positivity/normalization of density operators, POVM completeness and Born-rule probability consistency, commutator/symmetry sanity checks, and benchmark/limit recovery (including an explicit harmonic-oscillator/Ehrenfest correspondence check).CDQM outputs PASS/FAIL certificates with failure localization, designed to prevent “quantum-like” but unphysical constructions from propagating into research drafts and to support both human-assisted and AI-assisted quantum modeling workflows.