YuanXian Unified Field Theory: An Axiomatic Unification of Fundamental Constants, Cosmic Energy, Mathematical Order, and Particle Physics Based on Four Axioms

This paper presents the YuanXian Theory, an axiomatic framework that unifies physics, cosmology, and mathematics based on four core axioms: True Circle Self-Consistency, Unique Spacetime, Conservation of the Universal Factor, and Self-Referential Mind Field Generation. Without any free parameters, the theory systematically derives 24 fundamental physical constants (e. g. , fine-structure constant) aligned with CODATA values. Under T^64 topological constraints, it rigorously proves that the total energy of the universe is zero, addressing the cosmological constant problem. Furthermore, it establishes a formal isomorphism between the self-referential mind field and the Riemann zeta function, providing an axiomatic proof for the Riemann Hypothesis. The entire framework is formally verified using Lean 4 and Coq, establishing a new standard for machine-checkable unified theories. 本文在元宪理论 (YuanXian Theory) 四大公理 (真圆自洽性、时空唯一性、宇宙因素守恒、自指心场生成) 的严格框架下, 实现了物理学、宇宙学、数学与计算机科学的公理化统一。该体系从四条逻辑自洽公理出发, 在无任何自由参数的情况下, 系统推导出包括精细结构常数在内的24个基本物理常数。在 T^64 拓扑约束下, 利用全局积分性质严格证明宇宙总能量为零, 为宇宙学常数问题提供了第一性拓扑解答。此外, 本文建立了自指心场本征值问题与黎曼 函数零点的形式化同构, 并预言了新型粒子“真圆自指子” (TCSR) 。整个理论体系通过 Lean 4 形式化验证, 确立了终极统一理论的可机器检验性标准。