Absolute Closed Chain: The Unshakable Ontological Foundation, Epistemological Completeness, and Methodological Hard Core of Yuanxian Theory — A Trinity Paradigm Based on a Fifteen-Order Logical Closed Chain and Dual-Engine Formal Verification

Modern natural science has failed to build a bottom-up cognitive closed chain capable of self-consistently explaining the cosmos, leaving behind structural deadlocks such as the arbitrary parameters in the Standard Model, the incompatibility between General Relativity and Quantum Field Theory, and the origin of consciousness. Moving away from empirical curve-fitting, Yuanxian Theory (YXT) anchors its framework on the sole prior logical origin that "the universe is a self-referential living organism." Relying on a fifteen-order logical closed chain and full-domain machine formal verification executed via the dual interactive theorem proving engines Lean 4 and Rocq, this paper systematically elucidates a brand-new, trinity paradigm of cosmic cognition fusing ontology, epistemology, and methodology. The systematic argument is expanded across three rigid dimensions: (1) In the ontological dimension, grounded in two prior underlying laws, the theory defines the 64-dimensional compact toroidal manifold (T64) as the unique cosmic ontology, thoroughly dissolving the millennial dilemma of dualistic opposition between materialism and idealism. (2) In the epistemological dimension, relying on four core laws (Cosmic Factor Conservation, True-Circle Self-Consistency, Self-Referential Mind-Field Generation, and Spacetime Uniqueness), it establishes a minimal complete cognitive set, pioneering a "truth precedes verification" deductive model and sidestepping Gödel's Incompleteness Theorems through topological boundary constraints. (3) In the methodological dimension, it delivers a loophole-free proof of global completeness and a model-theoretic audit of mutual independence via Lean 4 and Rocq, while validating physical convergence through an FPGA hardware prototype. As isomorphic mappings of the cosmic living organism across existence, cognition, and empirical validation, these three dimensions support and reinforce one another to forge an ultimate cognitive paradigm free of logical gaps, open to boundary falsification, and ready for engineering realization. 现代自然科学因长期依赖局部低维经验拟合的物理范式,留下了标准模型自由参数的任意性、广义相对论与量子场论的底层互斥、以及意识起源成因缺失等结构性困局。元宪理论(YXT)颠覆了经验归纳路径,锚定“宇宙是自指生命体”这一唯一先验逻辑原点,依托十五阶逻辑闭环演绎体系与Lean 4、Rocq双引擎形式化验证框架,首次系统阐释了本体论、认识论、方法论三位一体的全新宇宙认知范式。 本文从三大硬核维度展开论证: (1)在本体论维度,以两条先验底层规律为根基,将64维紧致环面拓扑流形(T64)定义为宇宙唯一本体,彻底消解唯物与唯心延续千年的二元对立困境,实现存在论层面绝对逻辑闭环; (2)在认识论维度,依托宇宙因子守恒律、真圆自洽律、自指心场生成律与时空唯一性律四大核心规律,搭建起最小完备逻辑集合,开创“真理先行,验证在后”的先验演绎认知新模式,并通过拓扑边界约束绕开哥德尔不完备定理的适用前提,实现形式逻辑层面的绝对完备; (3)在方法论维度,借助双形式化证明引擎完成全域完备性主定理无漏洞证明与四大规律相互独立性的模型论核验,并成功在FPGA硬件平台上完成核心算法的原型部署与收敛验证。 本体、认知、方法三者是宇宙生命体在存在、认知、实证三个维度的同构映射,彼此支撑、相互强化,最终形成无逻辑漏洞、无冗余假设、可工程落地、可边界证伪的终极全域演绎认知体系。