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

This record contains the complete evidence and reproducibility archive for the QDL Structural-to-Dynamical Completion Program and the manuscript “Typed Dimensional Closure and Standard-Model Structure: Exterior-Representation Theorems, a Conditional Three-Generation Index, and No-Fit Obstructions.” It consolidates thirteen completion gates, QDL-CG-I through QDL-CG-VII-C5, into a preserved and auditable research object. The archive includes the thirteen original completion-gate ZIP packages preserved unchanged; the consolidated capstone and journal-manuscript materials; theorem, assumption, claim-status, and evidence ledgers; exact-rational and numerical audit scripts; regression tests; CSV and JSON outputs; preregistration and revision notes; dependency maps; citation metadata; and SHA-256 integrity manifests. The positive structural results derive, within explicitly stated recurrence, Hermitian-amplitude, unimodularity, exterior-sector, minimality, and orientation premises, the faithful gauge group S(U(3) × U(2)), the Standard-Model hypercharge pattern, canonical 5/3 Abelian normalization, a unique minimal 15-state chiral exterior sector up to conjugation, perturbative anomaly cancellation, Higgs-doublet quantum numbers, and charged-Yukawa admissibility. A separate horizontal construction proves that ambient-extendable oriented line-bundle indices lie in 3Z and that the primitive positive type-(1,3) sector has exactly three positive-chirality zero modes and no negative-chirality partners. The resulting three-generation carrier is conditional on ambient extendability and a full-support horizontal-closure principle. The archive also preserves the program’s no-go, obstruction, and empirical-exclusion results. These include the gauge-triviality of the original family orbit, exclusion of the exact charged-lepton phase 2/9 as a pole-mass prediction, the obstruction to generating a full-rank gauge kinetic metric from the linear closure functional, failure of the primitive equal-gap charged-lepton spectrum, and the absence of a derived amplitude-and-phase selection law for the first noncommuting higher-shell operator. The current program-level conclusion is that QDL provides a compact conditional derivation of substantial Standard-Model structure and a conditional gauge-independent three-generation carrier, but it does not yet provide a successful no-fit prediction of continuous fermion masses, mixing parameters, or gauge-coupling values. All original completion-gate packages are retained for provenance. Machine-readable verdicts, output tables, test suites, dependency maps, and cryptographic checksums support independent inspection of the archive structure and computational results.