Interpretation of Global State Vectors and Unified Ternary Global Dynamic Equations: The Closing Paper of the Complete Axiomatic Mathematical System of Ternary Steady-State Theory《全域状态向量与三元全域统一方程解译 》

As the concluding paper of the complete fundamental theoretical series of Ternary Steady-State Theory (Paper No.26), this paper integrates all axioms, equation systems and state vector frameworks established in the previous three serial papers (No.23–25), and formally constructs Yang’s Global State Vector and Yang’s Unified Ternary Global Dynamic Equations. Two core hierarchical unifications are realized in this work: the inorganic physical global vector and organic life state vector can be mutually converted via reversible global mapping operators, forming a unified mathematical expression covering all open dissipative systems. The closed-loop axiom, scale axiom and bottom-boundary axiom serve as universal underlying constraints applicable to all dissipative systems in the universe. This paper strictly demarcates the research boundary between pure fundamental theoretical deduction and extended application research for global scholars: the global unified equation only completes axiom self-consistency verification, unified geometric construction of global phase space, and cross-system theoretical reduction; physical experimental measurement, clinical verification of life systems and quantitative modeling of social macro-systems are excluded from the scope of this fundamental theory and left for global researchers to independently expand and verify. Based on the established global mathematical framework, this paper further constructs the quantitative mathematical interpretation of the Community with a Shared Future for Mankind. Meanwhile, the original ownership of the whole theoretical system, standardized naming rules for all Yang’s equation sets and open-source copyright clauses are fully clarified, establishing an independent academic status for this localized original Chinese fundamental theory. All mathematical logical chains of the serial papers from No.23 to No.25 are fully closed and cross-verified, rigorously proving that the ternary axiom system has no internal logical breaks and the global unified dynamic equations are completely self-consistent across all research fields.