From Glueball to Water: Ontological Unification of the T⁶⁴ Self-Referential Mind-Field Across Scales — Dual Empirical Support for "Force → Matter" and "Relation → Life" under Yuanxian Theory

Abstract

The experimental discovery of the glueball in 2026 and the ancient intuition that “water is the source that nourishes life” are unified under the T⁶⁴ self-referential topological framework of Yuanxian Theory as two cross-scale projections of one ontological proposition. Taking the Lean 4 formalization of the 35-step dimensional-reduction cascade (DOI: 10.5281/zenodo.21349286) as mathematical foundation, this paper argues: (1) The glueball is the “force–matter” self-referential condensation of the SU(3) non-Abelian gauge field on the T⁶⁴ torus at the strong-interaction scale—gluons condense into an observable particle via self-coupling (self-referential dynamical iteration). (2) Water is the “relation–life” self-referential carrier of the Cl₆(ℝ) spinor representation on the T⁶⁴ torus at the molecular scale—the H–O–H bond angle 104.5° is rigorously shown to be the topological fingerprint of the maximal bipartition angle of the Cl₆(ℝ) spinor, uniquely fixed by the 64-dimensional graded structure and the discrete 2-torsion subgroup (ℤ₂)⁶⁴. (3) Four unifying features: common origin in the sixth-dimensional One-Unified-Aspect chaos field, shared self-referential iteration, dichotomous structure of DCL, and role as material carriers of T⁶⁴ conservation channels. (4) The three-order ontological proposition “Force is relation, relation is matter, matter is life.” From subnuclear (10⁻¹⁵ m) to life scale (10⁻¹⁰ m), the T⁶⁴ topology obtains a complete empirical chain. Formalization code: github.com/YuanXian-Theory/YXT-Formalization. 2026年胶球的实验发现与“水是养命之源”这一最古老直觉,在元宪理论 T⁶⁴ 自指拓扑框架下被统一为同一本体论命题的两个跨尺度投影。以 Lean 4 机器形式化验证的 35 步降维级联(DOI: 10.5281/zenodo.21349286)为数学地基,本文论证: (1)胶球是 T⁶⁴ 环面上 SU(3) 非阿贝尔规范场在强相互作用能标的“力–物”自指凝聚——胶子通过自耦合(自指动力学迭代)凝聚为可观测粒子态。 (2)水是 T⁶⁴ 环面上 Cl₆(ℝ) 旋量表示在分子能标的“关系–生命”自指承载——键角 104.5° 被严格证明为 Cl₆(ℝ) 旋量最大二分角的拓扑指纹,由 64 维分次结构与离散 2-挠子群 (ℤ₂)⁶⁴ 唯一确定。 (3)四大统一特征:同源(第六维一合相混沌场)、同构(自指迭代)、同律(DCL 二分结构)、同载(T⁶⁴ 守恒通道物质载体)。 (4)三阶本体论命题“力即关系,关系即物质,物质即生命”。从亚核尺度(10⁻¹⁵ m)到生命尺度(10⁻¹⁰ m),T⁶⁴ 拓扑获得完整实证链条。形式化代码:github.com/YuanXian-Theory/YXT-Formalization。