Physiological Mathematics in the View of YuanXian Theory: Ontological Unity of the Cosmic Living Organism, 64-Dimensional Isomorphism, and Mathematical Laws

This paper proposes the concept of Physiological Mathematics within the framework of YuanXian Theory (YXT). It argues that mathematical laws are not merely human inventions or abstract tools, but endogenous physiological rules of the universe conceived as a macroscopic living organism. Based on the four core axioms of YuanXian Theory (True Circle Self-Consistency, Conservation of Cosmic Factor, 64-Dimensional Spacetime Uniqueness, and Self-Referential Mind Field Generation), the paper demonstrates that the fundamental ontological substrate of the universe is a 64-dimensional compact torus (T⁶⁴). Mathematical structures, physical constants, and biological rhythms are shown to be isomorphic projections of this higher-dimensional topology. Through a case study on the spectral interpretation and formal verification of the Birch and Swinnerton-Dyer (BSD) Conjecture, the paper illustrates how profound mathematical problems can be understood as necessary manifestations of the physiological dynamics of the cosmic living organism. This work establishes a deep ontological unity between mathematics, physics, and life. 本文在元宪理论(YXT)视域下提出“生理数学”概念,认为数学规律并非人类发明的抽象工具,而是宇宙作为一个宏观生命体(Cosmic Living Organism)的内生生理规则。 依托元宪理论四大核心公理(真圆自洽性公理、宇宙因素守恒公理、64维时空唯一性公理、自指心场生成公理),本文论证宇宙的本体为64维紧致环面(T⁶⁴),数学结构、物理常数与生命节律均为这一高维拓扑结构的同构投影。 通过 Birch and Swinnerton-Dyer (BSD) 猜想的光谱诠释与形式化验证案例,本文展示了顶级数学难题可被理解为宇宙生命体生理动力学的必然表现,从而实现了数学、物理与生命在本体论层面的深刻统一。