QDL Structural-to-Dynamical Completion Program: Theorem, Audit, Reproducibility, and Falsification Archive

This research compendium preserves the complete evidence record for a fifteen-gate mathematical-physics program examining whether a three-state signed recurrence model can support a controlled transition from interaction selection to localized topological channels without parameter fitting. Within the declared construction class, the program establishes a coherent result chain consisting of a charge-conjugation-preserving noncentral mass ray, a minimal local splitter orbit, three cyclic vacua, exact compact domain walls, a nontrivial real junction charge, odd Floquet-channel indices in the zero and pi quasienergy gaps, localized channels in an exact finite-range body-centered-cubic unitary walk, and a finite curved toroidal channel carrier. The integrated DYN10G audit also establishes the exact limitation that the empty minimal loop is not self-stabilized. A stable nonzero radius occurs only conditionally in a selected occupied antiperiodic channel sector. The archive contains all frozen gate packages from DYN8B through DYN10G, exact certificates, symbolic and numerical verification scripts, raw tables, convergence studies, negative controls, failed prediction branches, an integrated claim ledger, a minimal-assumption matrix, a theorem-dependency graph, a supersession ledger, publication-boundary guidance, file manifests, checksums, and an executable archive-level verifier. Failed mass-ratio, mixing, holonomy-selection, occupation-selection, and vacuum-soliton branches are retained as falsification evidence. This record does not claim a derivation of the complete Standard Model, a unique parent action, absolute masses or coupling magnitudes, a complete PMNS or CKM prediction, a confirmed parameter-free physical observable, or a self-stabilized vacuum particle.