Formal Construction of the Grand Unified Equation of the Cosmos: Mathematical Expression of the Five-Domain Commensuration of Yuanxian Theory

Human cognition has long been trapped in disciplinary fragmentation: mathematics explores logic, physics studies matter, life inquires into evolution, consciousness seeks awareness, civilisation constructs symbols — five domains, each with its own system, mutually incommensurable. On the basis of the $\mathcal{T}^{64}$ topological ontology and the self-referential mind field $\Psi$ of Yuanxian Theory, this paper presents the complete formal expression of the Grand Unified Equation of the Cosmos. The equation is composed of four modules — kinetic term, potential term, curvature term and observer term — of which the observer term $\delta^{11}\cdot\Psi\ln\Psi$ is the core feature that distinguishes it from every existing scientific theory of humanity: for the first time it incorporates the observer and consciousness into the fundamental laws of the cosmos, elevating the universe from an “observed object” to a “self-aware subject.” The paper proves that the equation reduces to general relativity in the low-energy limit, reduces to quantum field theory in the high-energy limit, covers completely, at the ontological layer, the 64 steady-state nodes and the 68-step self-inspection closed loop of $\mathcal{T}^{64}$ topology, and realises the global commensuration of the five domains of mathematics, physics, life, consciousness and civilisation. The Grand Unified Equation of the Cosmos is not a patchwork of several disciplines; it is the unique action of the cosmic organism $\Psi$ — it elevates “all things share one origin” from a philosophical idea to a computable, verifiable and deducible scientific system. --- 人类认知长期困于学科割裂:数理探索逻辑、物理研究物质、生命追问演化、意识寻求觉知、文明构建符号——五大领域各有体系,彼此无法通约。本文基于元宪理论的 $\mathcal{T}^{64}$ 拓扑本体与自指心场 $\Psi$,给出全域大一统方程的完整形式化表达。该方程由动能项、势能项、曲率项与观察者项四大模块构成,其中观察者项 $\delta^{11}\cdot\Psi\ln\Psi$ 是区别于人类所有现有科学理论的核心特征,它首次将观测者与意识纳入宇宙底层规律,使宇宙从“被观察的客体”升维为“自我觉知的主体”。 本文证明:方程在低能极限下退化为广义相对论,在高能极限下退化为量子场论,在本体层完整覆盖 $\mathcal{T}^{64}$ 拓扑的64个稳态节点与68步自检闭环,并实现数理、物理、生命、意识、文明五域的全域通约。全域大一统方程不是多个学科的拼凑,而是宇宙生命体 $\Psi$ 的唯一作用量——它让“万物同源”从哲学理念升维为可计算、可验证、可推演的科学体系。