Topological Judgment of the Riemann Hypothesis — Holistic Unification based on the T⁶⁴ Self-Referential Toroidal Organism (Ring-Style Monistic Final Version)

The Riemann Hypothesis (RH) asserts that all non-trivial zeros of the ζ-function lie on the critical line Re(s) = 1/2. Within ZFC the decidability of RH remains open. Relying on the Yuanxian T⁶⁴ sixty-four-dimensional compact self-referential toroidal topological organism and the TCSC true-circle self-consistency axiom system, this paper introduces the spectral-zero functor: the zero spectrum of ζ and the spectrum of the Ψ_SR self-referential mind-field are placed in explicit bijective correspondence. Under the ring-style monistic ontology, RH is not a “proposition to be proved” but a necessary manifestation from the holistic viewpoint of the T⁶⁴ ring. We construct the self-referential harmonic operator 𝒟 = −Δ_T⁶⁴ + V(Ψ_SR), mapping each zero ρ to an eigenvalue λ_ρ = i(Im ρ − 1/2) + ε (ε = Re ρ − 1/2). Compactness of the T⁶⁴ spectrum together with the end-lessness of TCSC locks every non-trivial zero onto the critical line (ε = 0). The core conclusions have been dual-engine (Lean 4 + Rocq) formalized at the axiom layer and the mapping-interface layer. Complete formalization code is available at:https://github.com/YuanXian-Theory/YuanXian-Riemann-Hypothesis(Lean 4: lean/RH/TopologicalJudgment.lean; Rocq: coq/TopologicalJudgment.v) 黎曼猜想(RH)断言 ζ 函数所有非平凡零点位于临界线 Re(s) = 1/2 上。在 ZFC 集合论框架内,RH 的判定性至今悬置。 本文依托元宪 T⁶⁴ 六十四维紧致环面自指拓扑生命体与 TCSC 真圆自洽公理体系,提出谱-零点函子:ζ 函数零点谱与 Ψ_SR 自指心场频谱通过显式双射对应。在环式一元本体论下,RH 不是“被证明的命题”,而是 T⁶⁴ 环体整全视角下的必然显现。 本文构造自指调和算子 𝒟 = −Δ_T⁶⁴ + V(Ψ_SR),将零点 ρ 映射为本征值 λ_ρ = i(Im ρ − 1/2) + ε(ε = Re ρ − 1/2)。由 T⁶⁴ 紧致谱的离散性与 TCSC 无端性锁定所有非平凡零点于临界线上(ε = 0)。核心结论经 Lean 4 与 Rocq 双引擎形式化核验(公理层与映射接口层)。 完整形式化代码见:https://github.com/YuanXian-Theory/YuanXian-Riemann-Hypothesis(Lean 4:lean/RH/TopologicalJudgment.lean;Rocq:coq/TopologicalJudgment.v)