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August 16, 20260 citationsOpen Access

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

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QZQian Zhao

Key Points

  • Resolve five core theoretical gaps from earlier formulations and establish the mathematical completeness and dynamical foundation of the ZQCM framework.
  • Proved the mathematical uniqueness of Coxeter difference Δ=5 and formulated lepton depth formulas into forward theorems.
  • Constructed the complete ZQCM total action directly from three foundational axioms (A1–A3).
  • Applied a B4 residual diagonal perturbation model to address bare neutrino masses and employed a five-theorem joint locking mechanism.
  • Derived the grand unified theory coupling and a rigid Higgs mass of m_H = 128.11 GeV without empirical post-hoc parameter fitting.
  • Demonstrated that the Standard Model Lagrangian emerges directly as a low-energy limit rather than an initial input assumption.

Abstract

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 \ (=5\) and elevates lepton depth formulas from structural corollaries to three forward T12 theorems. Via T13 five-theorem joint locking, the GUT coupling \ (₆ₔₓ\) and rigid Higgs mass \ (mH=128. 11\ GeV\) are fully derived without post-hoc fitting. A \ (B₄\) 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.

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Cite This Study

Qian Zhao (2026) studied this question.

synapsesocial.com/papers/6a817a21f2fb91fc834adb99https://doi.org/10.5281/zenodo.21930179
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