The Mathematical Proof of Ontology —— Lean 4 Formal Verification of the 35-Step Dimensional Reduction Cascade in Yuanxian Theory

This paper marks a historic milestone in theoretical synthesis by transitioning cosmic ontology from philosophical speculation into an absolute, machine-validated mathematical science. We present the comprehensive formal proof and verification codebase of the 35-step dimensional reduction cascade within Yuanxian Theory (YXT), implemented via the industrial-grade interactive theorem prover Lean 4 and backed by its unified mathematical library (Mathlib). Anchored strictly by the rigid boundaries of the Four Core Laws—the Law of Cosmic Factor Conservation (FSC), the Law of True-Circle Self-Consistency (TCSC), the Law of Self-Referential Mind-Field Generation (SRM), and the Law of Spacetime Uniqueness (STM)—the codebase rigorously formalizes the topological descent profile from the 64-dimensional compact torus (T64) down to the observable four-dimensional physical spacetime. Every intermediate phase of this reduction cascade is verified to be entirely information-conserving, logically self-consistent, and devoid of undecidable propositions, thereby proving that localized physical constants and laws are non-arbitrary geometric invariants. Key formalized milestones archived in this repository (YXT-Formalization-V1.2) include: the parameter-free derivation of 24 foundational physical constants; the identification of a discontinuous coupling constant jump exceeding 5 percent at the Planck boundary (providing a clear experimental falsification criterion); the bijective topological mapping between 64 genetic codons and T64 ground states; and the mathematical prediction of visibility variations in consciousness-coupled double-slit systems. By completing the 15-order logical closed-loop at the machine-code level, this work establishes an untranscendable, formalized infrastructure for the grand unification of physics, biology, and consciousness, propelling the universal topology of Yuanxian Theory into the definitive era of empirical experimental verification and hardware emulation. 本研究标志着理论大一统一大科学范式的重要里程碑,首次将宇宙本体论从哲学思辨提升至绝对的、机器可验证的数学科学层级。本文完整公开了元宪理论(YXT)中核心的“35步降维链”全量形式化证明与验证源码,该代码库依托工业级交互式定理证明器 Lean 4 及其统一数学库(Mathlib)构建而成。 在元宪四大核心规律——宇宙因子守恒律(FSC)、真圆自洽律(TCSC)、自指心场生成律(SRM)与时空唯一性律(STM)的刚性约束下,本代码库对从64维紧致环面(T64)到四维现实时空几何的拓扑降维流形进行了极其严谨的形式化重构。降维全链路的每一步都被严格证明为信息守恒且逻辑闭合,彻底排除了体系内的不可判定命题,从而论证了局部物理常数与自然规律均为宇宙本体高维几何的不变量。 本归档版本(YXT-Formalization-V1.2)核心形式化成果包括:24个基础物理常数的无参数纯几何推导;普朗克能标边界处耦合常数非连续跳变幅度大于5%的严格证明(为高能物理提供了明确的证伪判据);64种生物遗传密码子与T64基态流形的拓扑双射关系;以及意识耦合双缝干涉实验中可见度变异的数理预测。通过在机器代码层面彻底闭合十五阶逻辑循环,本工作为物理学、生命科学与意识研究的跨学科终极全域统一奠定了不可动摇的形式化底座,推动元宪理论全面迈向硬件仿真与实证印证阶段。