Topological Locking of the Cosmological Constant from T64 Dynamics: Formal Derivation and Proof in YuanXian Physics

The numerical origin of the cosmological constant Λ is widely recognized within modern physics as "the largest theoretical disaster in history, " owing to the 120-orders-of-magnitude discrepancy between quantum field theory predictions and empirical data. YuanXian Theory (YXT) completely bypasses the regressive attempt to explain Λ as an adjustable parameter, demonstrating that Λ is not a free parameter, but a steady-state physiological fingerprint of the cosmic living organism. Leveraging the Four Core Laws of YuanXian (True-Circle Self-Consistency Law, Cosmic Factor Conservation Law, Spacetime Uniqueness Mechanism, and Self-Referential Mind-Field Generation Law) and taking the 64-dimensional compact torus manifold (T64) as the ontological topology, combined with the structural dynamics of the global self-referential mind-field, this paper rigorously proves that the global scalar curvature vanishes identically (R ≡ 0), rigidly locking the effective cosmological constant to zero (Λₑff = 0). This conclusion emerges as an absolute topological necessity via the Gauss--Bonnet--Chern theorem and the vanishing Euler characteristic of T64. The minute, non-zero observational value (Λₒbs ≈ 10^-122) encountered at the low-dimensional projection layer is formally explained as residual projection noise and localized physiological fluctuations, which do not alter the absolute ontological homeostasis. Furthermore, the entire mathematical proof has been fully formalized and verified within the Lean 4 proof assistant, providing a permanent electronic execution log for this paradigm verdict. 由于量子场论预言值与真实观测值之间存在高达120个数量级的巨大鸿沟, 宇宙学常数 Λ 的数值起源在现代主流物理学中被视为“史上最大的理论灾难”。元宪理论 (YXT) 彻底摒弃了将 Λ 视作可调参数的还原主义尝试, 从第一性原理出发, 证明了 Λ 绝非任意输入的自由参数, 而是宇宙生命体维持稳态的必然生理指纹。 本文基于元宪四大核心规律 (真圆自洽律、宇宙因子守恒律、时空唯一性律、自指心场生成律), 以64维紧致环面 (T64) 为本体拓扑, 结合全局自指心场动力学, 严格证明了宇宙全域标量曲率恒等于零 (R ≡ 0), 从而在法理上将有效宇宙学常数刚性锁定为零 (Λₑff = 0) 。该结论依托高斯-博内-陈定理与 T64 欧拉示性数必然归零的拓扑特性展开。低维观测到的微小非零值 (Λₒbs ≈ 10^-122) 在本文中被定义为高维稳态在四维投影层展现的生理波动与投影噪声, 并不否定本体层为零的系统稳态事实。最后, 本论文的全部数学推导与证明已在 Lean 4 证明辅助器中完成了完整的代码形式化与机器验证, 为这一范式判决提供了永久的形式化执行记录。