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

The fine-structure constant 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 (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, yielding a relative error against the CODATA 2022 experimental value of less than 110^-10, a deviation entirely within experimental uncertainty. This research thoroughly abandons natural language speculation, establishing a novel paradigm of "Law Encoding Machine Solving 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 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, 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, 与 CODATA 2022 实验值的相对误差小于 110^-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。