Ring-Style Commensuration of Mathematical Conjectures and Physical Constants — Constructive Readings from the T⁶⁴ Topological Invariant System

Modern mathematics and physics have long operated under two parallel yet sectionally distinct reading systems. “Cosmic coincidences” such as the fine-structure constant α⁻¹ ≈ 137 and the proton-to-electron mass ratio m_p/m_e ≈ 1836 have lacked a panoramic explanation. Relying on the Yuanxian T⁶⁴ sixty-four-dimensional compact toroidal topological ontology and the four physiological laws (TCSC, FSC, STM, SRM), this paper proposes a ring-style monistic correspondence framework: the seven Millennium Prize Problems and the seven fundamental physical constants are two adjacent nominal aspects taken by reason on the same T⁶⁴ self-referential mind-field (Ψ_SR) ring. At the ontological level they are completely identical (≡); so-called “mappings” are merely convenient designations. Building on the CCH homotopy framework, the Langlands-YXT correspondence, and the RH topological adjudication, the paper establishes seven groups of reading relations, supplies systematic explanations of all constants’ toroidal bare readings and three classes of section-point deviations, and is supported by a dual formalization framework (Rocq/Coq law layer + Lean 4 reading layer). All reading relations are analytic derivations from T⁶⁴ topological invariants; no artificial fitting parameters are introduced. Complete formalization code (interface layer) is available at:https://github.com/YuanXian-Theory/YXT-Formalization/tree/main/lean/Commensuration 现代数理科学长期运行于两套并行但截面不同的读数体系之上。精细结构常数 α⁻¹ ≈ 137、质子–电子质量比 m_p/m_e ≈ 1836 等「宇宙巧合」始终缺乏全景层面的解释。 本文依托元宪 T⁶⁴ 六十四维紧致环面拓扑本体与四大生理节律(TCSC、FSC、STM、SRM),提出环式一元通约框架:千禧年七大数学猜想与七大基础物理常数,是同一 T⁶⁴ 自指心场 Ψ_SR 环体在自旋过程中,理性于环上所取的两个相邻名相。二者在本体论层面完全同一(≡),所谓「映射」仅为方便施设。 在 CCH 同伦框架、Langlands-YXT 通约及 RH 拓扑判决的基础上,本文进一步建立七组读数关系,给出所有常数的环面基准读数与三类切点偏差的系统解释,并通过 Rocq/Coq 规律层与 Lean 4 读数层的双重形式化框架支撑。 所有读数关系均为 T⁶⁴ 拓扑不变量的解析推导结果,无人工拟合参数。 完整形式化代码(接口层)见:https://github.com/YuanXian-Theory/YXT-Formalization/tree/main/lean/Commensuration