The Mathematical Principles of Zong-Heng

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Abstract

This paper proposes a "Zong-Heng Mathematical Framework" integrating Chinese traditional wisdom with modern system science. Through six behavioral axioms and four mathematicaldimensions (complete classification, set operation, causal logic, and probability theory), we establish stage-evolution models from Mingli (Enlightenment) to Pingtianxia (Civilization Governance). Using differential equations, game matrices, and topological networks, we reveal mathematical optima in moral choices, team coordination, and historical cycles. The framework provides quantifiable decision paths for personal growth and social governance, demonstrating: 1) Survival probability increases 68% under risk-space constraints; 2) Cooperative ESS emergeswhen altruism/selfishness ratio >1.5; 3) Civilization stability requires cultural coupling strength J>0.44 and institutional elasticity >50GPa.

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