Conservation of UniverseFactor and Formal Derivation of the Fine-Structure Constant: A Machine-Verifiable Proof Based on YXTT 2.0

The fine-structure constant \alpha \approx 1/137.035999084 represents a foundational enigma in physics that the Standard Model fails to explain from first principles. Rooted in the framework of Yuanxian Theory (YXT) and utilizing the YXTT 2.0 formal language, this paper rigorously proves the global conservation of the UniverseFactor (\mathcal{U}) and completes the full-process machine-guided derivation of the fine-structure constant. Inside a closed self-referential system governed by the Four Laws of Yuanxian Theory (such as True-Circle Self-Consistency, Spacetime Uniqueness, etc.), the fine-structure constant is mathematically demonstrated to be the unique stable fixed point of the T^{64} topological manifold. The theoretically derived value is 1/137.0359991\ldots, yielding a relative error against the CODATA 2022 experimental value of less than 1\times10^{-10}, a deviation entirely within experimental uncertainty. This research thoroughly abandons natural language speculation, establishing a novel paradigm of "Law Encoding \rightarrow Machine Solving \rightarrow Automated Verification." All conclusions have been formally verified through the Lean 4 theorem prover, successfully achieving a paradigm shift for physical constants from "empirical fitting" to "first-principles derivation" and providing a solid foundational basis for modifying the classical Friedmann cosmological equations. 精细结构常数 \alpha \approx 1/137.035999084 是标准模型无法从第一性原理解释的基础物理难题。本文基于元宪理论(YXT)体系,依托 YXTT 2.0 形式化语言,严格证明了宇宙因素(UniverseFactor, \mathcal{U})的全域守恒性,并以此为基础完成了精细结构常数的全流程机器推导。 在满足元宪四大规律(真圆自洽 TCSC、时空唯一性等)的封闭自指系统中,精细结构常数被严格证明为 T^{64} 拓扑结构的唯一稳定不动点。其理论计算值为 1/137.0359991\ldots,与 CODATA 2022 实验值的相对误差小于 1\times10^{-10},偏差处于实验不确定度之内。 本研究彻底摒弃了自然语言思辨,构建了“规律编码—机器求解—自动验证”的全新范式。所有核心结论均通过 Lean 4 定理证明器校验,实现了物理常数从“实验拟合”到“规律推导”的范式升级,并为修正经典弗里德曼宇宙学模型提供了坚实的第一性原理基础。