ZQCM Theoretical Finalization (Volume II): Mathematical Completeness and Dynamical Foundations

This document ZQCM Theoretical Finalization V2.2 synchronizes with T14-V3 and completes five core theoretical gaps unresolved in Volume I (B0–B9). It rigorously proves the uniqueness of Coxeter difference \(\Delta=5\) and elevates lepton depth formulas from structural corollaries to three forward T12 theorems. Via T13 five-theorem joint locking, the GUT coupling \(\lambda_{\text{GUT}}\) and rigid Higgs mass \(m_H=128.11\ \text{GeV}\) are fully derived without post-hoc fitting. A \(B_4\) residual diagonal perturbation model closes the bare neutrino mass gap, and the complete ZQCM total action is constructed from the three foundational axioms A1–A3, proving the Standard Model Lagrangian emerges as a low-energy limit rather than an input assumption. Open long-term tasks including Clebsch-Gordan computation and path integral quantization are clearly documented.