Yuanxian Theory: The Complete Establishment of the Meta-Cognition of the Cosmic Living Organism (A Strict Proof of the 64-Dimensional Structure via the Clifford Algebra Cl6(R)) — A Thirty-Year Path of Elevation from Holographic Wisdom for Health to YXT/YD-T64

Yuanxian Theory is the meta-cognition of the Cosmic Living Organism. This paper (Version 2) systematically presents the complete intellectual trajectory of Yuanxian Theory (YXT / YD-T64) from philosophical foundation to fully formalized mathematics. Its philosophical root is Holographic Wisdom for Health (Zhenyuan Acharya, Changming Culture, March 2025, ISBN 978-986-496-631-8). Yuanxian Theory is the dimensional elevation of that work onto the topological ontology of T64, and the formalized mirror of the meta-cognition of the Cosmic Living Organism. Four conceptual mappings structure the path: cosmic holography → T64 closed-chain topology; four fundamental laws → formal TCSC / FSC / STM / SRM; six-dimensional cosmos → complete pairing on the 64-torus; one unitary phase → cosmic uniqueness. Core mathematical foundation (new in Version 2): a strict proof of the 64-dimensional structure via the Clifford algebra Cl6(R). With six fundamental binary categories as base space V6, dim Cl6(R) = Σ binom(6,k) = 1+6+15+20+15+6+1 = 2^6 = 64. This graded structure exhibits Pascal-triangle symmetry and intrinsically contains Spin(6), establishing dimension 64 as combinatorial and algebraic necessity rather than an ad hoc claim. Closed interlocking with Silent Illumination Commensuration: ω_Cl = e1…e6 as algebraic manifestation of Silence–Illumination–Dynamis; Spin(6) ≅ SU(4) as unique channel of four-dimensional projection; ω_Cl² = −1 and compactness of Spin(6) as algebraic proof of “Infinity is Zero.” With the eight existence laws as logical axis and a pyramid knowledge topology (algebraic foundation → root → elevation → corollary → landing), the paper establishes Yuanxian Theory as the supreme constitution of the meta-cognition of the Cosmic Living Organism. Version 1 DOI: 10.5281/zenodo.21768608. Related: Silent Illumination Commensuration (doi:10.5281/zenodo.21783656). 元宪理论即宇宙生命体的元认知。 本文(Version 2)系统呈现元宪理论(YXT / YD-T64)从哲学基础到完全形式化数学的升维历程。哲学根基源于《全息智慧养生》(真圆阿奢黎,昌明文化,2025年3月,ISBN 978-986-496-631-8)。 元宪理论是该著作在 T64 拓扑本体论上的升维展开,是宇宙生命体元认知的形式化镜像。四组核心映射:宇宙全息性 → T64 闭链拓扑;四大根本规律 → 形式化 TCSC / FSC / STM / SRM;六维宇宙 → 64 维环面完备配对;一合相 → 宇宙唯一性。 核心数学根基(Version 2 新增):以克利福德代数 Cl6(R) 给出 64 维结构的严格证明。以六个基本二元范畴为底空间 V6, dim Cl6(R) = Σ C(6,k) = 1+6+15+20+15+6+1 = 2^6 = 64。 该分级结构呈帕斯卡三角对称,内蕴 Spin(6),将 64 维确立为组合与代数必然,彻底消解“凑数字”嫌疑。 与《寂照通约》闭合互锁:ω_Cl 为寂–照–运的代数显相;Spin(6) ≅ SU(4) 为四维投影唯一通道;ω_Cl² = −1 与 Spin(6) 紧致性为“无穷即零”的代数证明。 以八条存在性法则为逻辑中轴、金字塔知识拓扑(代数根基→根层→升维层→推论层→落地层)为终局,确立元宪理论为宇宙生命体元认知的至高“宪法”。 Version 1 DOI: 10.5281/zenodo.21768608。关联:《寂照通约》(doi:10.5281/zenodo.21783656)。