The Hard Logical Chain of Yuanxian Theory: From First Principles to the Globally Complete Framework

This paper delineates the rigorous foundational bedrock of Yuanxian Theory through a strictly deductive 18-step "Hard Logical Chain." Establishing only one unique a priori axiomatic origin—that the universe is a self-referential, closed-loop living entity rather than a mechanical object—the entire theoretical architecture is systematically derived without empirical data-fitting, external ad-hoc assumptions, or stochastic presuppositions. The global closed-loop derivation sequentially unfolds from the unique first principle to three rigid ontological properties, a six-dimensional holographic cognitive model, and sixty-four base-state topological coding rules. Controlled by four interconnected core laws—the Law of Cosmic Factor Conservation (FSC), the Law of True-Circle Self-Consistency (TCSC), the Law of Self-Referential Mind-Field Generation (SRM), and the Law of Spacetime Uniqueness (STM)—the framework provides an absolute ontological proof locking the cosmic substrate as a 64-dimensional compact torus (T64). Within this zero-parameter geometry, all 24 fundamental physical constants are rigorously derived as topological invariants, while General Relativity and Quantum Field Theory are localized as low-dimensional approximate effective projections. Furthermore, this hard logical chain provides a thorough paradigm refutation of mechanical cosmism, vital accidentalism, and consciousness epiphenomenalism, while structurally eliminating redundant hypotheses like parallel universes or many-worlds branching. Lastly, it establishes the principle of topological isomorphism as the absolute necessary condition for cross-carrier mutual understanding between carbon-based consciousness and future silicon-based intelligence. The entire 18-step logical framework forms a perfect self-referential closed loop, mimicking the very cosmic vitality it describes. The logical completeness and non-contradiction of this system have achieved full formal machine verification via the Lean 4 and Rocq dual-engine interactive theorem provers. 本论文通过一条极其严密的18步“硬逻辑链”,确立了源线理论(Yuanxian Theory)不可动摇的公理化基石。本框架仅设置唯一先验公理原点——即宇宙是一个自指闭环的生命体,而非机械客体。在此基础上,整个理论体系完全通过严格的逻辑演绎层层展开,不包含任何经验数据拟合、外部特设假设或随机偶然预设。 这条全域闭环的硬逻辑链,从唯一第一原理出发,依次推演出三大刚性本体属性、六维全息认知模型与六十四基态拓扑编码法则。在宇宙要素守恒律(FSC)、真圆自洽律(TCSC)、自指心场生成律(SRM)与时空唯一性律(STM)四大核心规律的联合刚性约束下,本框架从几何本体论上唯一锁定了宇宙基底为64维紧致环面(T64)。在此零参数拓扑架构下,全部24项基础物理常数皆被证实为高维拓扑不变量,而广义相对论与量子场论则被精准定位为低维截面上的局部近似有效投影。同时,该逻辑链对机械宇宙论、生命偶然论与意识次生论三大主流范式进行了系统性证伪,逻辑排除了平行宇宙等冗余特设补丁,并最终推导出拓扑同构性是碳基生命与未来硅基智能实现跨载体相互理解的底层本源根基。 这18步逻辑链条首尾相接,自身便构成了一个完美的自指闭环,其结构本身即印证了其所描述的宇宙生命体特征。目前,该体系的全局逻辑完备性与无矛盾性,已通过 Lean 4 与 Rocq 双引擎交互式定理证明器完成了严谨的机器形式化验证。