Semiclassical Convergence and Classical Spacetime Recovery: Computational Validation of Master Constraint Clifford Structures with Explicit Assumptions and Reproducibility Artifacts

This paper addresses the central challenge of whether discrete noncommutative spectral frameworks can recover classical spacetime geometry in an appropriate semiclassical limit. We develop a comprehensive computational validation framework centered on finite dimensional Clifford operator constructions, spectral triple inspired Dirac matrices, and a master constraint formalism tailored to discrete Wheeler DeWitt toy models. Under explicit assumptions A1 through A4 (finite dimensional Hilbert spaces, operator boundedness on the chosen discretization, controlled refinement sequences, and bounded anomaly perturbations) we establish that as the effective quantum scale parameter tends to zero and the refinement index increases along prescribed scaling, the expectation values of key discrete observables converge to their classical counterparts with explicit error bounds. I supplement the formal statements with extensive numerical convergence studies across six major experiments validating spectral convergence, two-point spectral distances, master constraint eigenvalue gaps, graph refinement compatibility, anomaly cocycle norms, BRST nilpotency measures, and semiclassical recovery errors. Phase 1 validation reports 94% aggregate confidence across all experiments. All computational artifacts are published with exact repository commit hash, notebook cell mappings, data provenance meta files, and environment specifications to ensure full reproducibility. This work provides a rigorous, reproducible proof of concept that structural mechanisms central to spectral geometric approaches admit semiclassical recovery in controlled discrete settings. Limitation: Results are derived exclusively within finite dimensional minisuperspace toy models and do not by themselves constitute a derivation of full four dimensional general relativity.