Analysis of Six Fundamental Mathematical Problems of the Ternary Global Unified Dynamical System《元全域统一动力学体系的六大数学基础问题解析 —— 理论完备性最终证明与工程边界界定》

This is the final‑printing closing manuscript (V29‑final) of the Ternary Steady‑State Theory theoretical system. This definitive release completes the full Chapter 7, including the algebraic global‑asymptotic stability proof via the Hurwitz criterion, the definition of the resilience‑recovery window for flexible mathematical formalization of a community with a shared future for mankind, and the complete QE‑012 permanent freeze list of core mathematical objects together with the full four‑dimensional civilizational end‑state judgment vector. Major updates in this iteration: Fully supplemented Chapter 7: Hurwitz global‑stability algebraic proof, resilience‑recovery‑window definition, final closure of the theoretical framework statement (QE comprehensive problem). Revise both Chinese and English abstracts to incorporate the new core achievements of Chapter 7, maintaining backward‑compatible keywords. Chapters 1‑6, all appendices, copyright registration list, DOI bibliography and open‑source license (CC BY‑NC‑ND 4.0) remain unchanged. All six fundamental mathematical open questions (Q1‑Q6) have obtained closed‑form analytical solutions. After this manuscript, the core axioms, dynamical equations, matrix structures, phase‑transition criteria and steady‑state solutions of Ternary Steady‑State Theory are permanently frozen. Future work will be limited to engineering implementation, scenario extension and empirical application, without modification of core mathematical derivations. The work holds national copyright registrations. Comply with CC BY‑NC‑ND 4.0 International license. Citation should follow GB/T 7714 and reference the corresponding Zenodo DOI.