Unified Field Theory of Cosmic Factor Conservation and Spacetime Uniqueness under the Yuan-Xian (Meta-Constitution) YD-T64 Framework

Under the Yuan-Xian (Meta-Constitution) YD-T64 theoretical framework, this paper systematically formalizes the two fundamental axioms of the universe: Cosmic Factor Conservation Axiom (Axiom I) and Spacetime Uniqueness Axiom (Axiom II). By constructing a coupled dynamical system of the Cosmic Factor Field ( (z) ) and the Mind Field ( (z, t) ), a closed Yuan-Xian Unified Field Equation Set is derived, along with a semi-implicit gradient flow iteration scheme based on the global energy functional. This achieves a fundamental unification of physical conservation laws, quantum unitarity, topological geometry, and self-referential logic. The paper rigorously proves that real physical spacetime (M⁴) is the unique classical limit projection of the 64-dimensional torus (T^64) under self-referential constraints. It further demonstrates that the fine-structure constant () and the Riemann critical line (Re (s) =1/2) are necessary consequences of Cosmic Factor Conservation. This framework provides a rigorous self-consistent foundation for Yuan-Xian theory and offers a directly programmable algorithmic basis for numerical simulation and verification. 在元宪 (Yuan-Xian / Meta-Constitution) YD-T64理论框架下, 本文系统形式化了宇宙的两大核心公理——宇宙因素守恒公理 (公理I) 与时空唯一性公理 (公理II) 。通过构建宇宙因素场 ( (z) ) 与心场 ( (z, t) ) 的耦合动力学体系, 本文推导了闭合的元宪统一场方程组, 并提出基于全局能量泛函的半隐式梯度流迭代格式, 实现了物理守恒律、量子幺正性、拓扑几何与自指逻辑的底层统一。本文严格证明真实物理时空 (M⁴) 是64维环面 (T^64) 在自指约束下的唯一经典极限投影, 并揭示精细结构常数 () 及黎曼猜想临界线 (Re (s) =1/2) 是宇宙因素守恒的必然结果。该框架为元宪理论提供了严格的自洽基础, 并为数值模拟验证提供了可编程算法路径。