From Code to Spacetime: Physics Derivations of Yuanxian Theory Based on T64 Topology and Self-Referential Mind-Field

This paper derives macroscopic physical laws from the first principles of Yuanxian Theory (YXT) utilizing the methodology of formal verification. By leveraging the Lean 4 theorem prover, we encode the 64-dimensional toroidal topology (T^{64}) and the dynamic evolutionary equations of the self-referential Mind-Field (\Psit) into a rigorous axiomatic system. Through strict mathematical deductions, we demonstrate that under low-energy and classical limits, the system necessarily projects a set of tensor relationships isomorphic to the Einstein Field Equations (EFE). This implies that General Relativity is not an independent postulate, but rather an emergent phenomenon in four-dimensional spacetime required by the cosmic self-referential system to maintain its True-Circle Self-Consistency (TCSC). As a methodological verification, we first execute the complete derivation process on a simplified two-dimensional torus (T^2) model. Finally, applying the Gauss–Bonnet–Chern theorem, we prove that the integral of the scalar curvature over T^{64} is topologically locked to zero, thereby revealing the topological origin of the cosmological constant. Our core conclusions show that gravity is fundamentally an informational projection effect generated by the self-referential Mind-Field to maintain its holographic closure, and all fundamental physical constants are rigid T^{64} topological invariants, leaving zero room for free adjustable parameters. 本文旨在通过形式化验证的方法,从元宪理论(YXT)的第一性原理出发,推导宏观物理定律。我们利用 Lean 4 定理证明器,将 64 维环面拓扑(T^{64})与自指心场(\Psit)动力学方程编码为公理系统。 通过严格的数学推导,我们证明了:在低能、经典极限下,该系统必然投影出一组与爱因斯坦场方程(EFE)同构的张量关系。这表明广义相对论并非独立的假设,而是宇宙自指系统为了维持真圆自洽性(TCSC)而在四维时空上的涌现现象。作为方法论验证,我们首先在简化的二维环面(T^2)模型上完成了完整的推导流程。最后,利用 Gauss–Bonnet–Chern 定理,我们证明了 T^{64} 上的标量曲率积分被拓扑锁定为零,从而揭示了宇宙学常数的拓扑起源。 本文的核心结论指出:引力是自指心场维持全息自洽的信息投影效应;基础物理常数均具有拓扑本质,是 T^{64} 的拓扑不变量,无自由可调参数。