The Consciousness-Expression Equation of the Cosmic Living Organism in Yuanxian Theory — Formal Construction from the 𝒯⁶⁴ Topological Closed Chain to the Global Consciousness Field

Mathematics is the meta-language of the cosmic living organism; the cosmic living organism is self-consistent, while mathematics need not be, and need not be forced to fit. As one of the general outlines of the Yuanxian series, the present paper is a systematic exposition of the view of consciousness of Yuanxian Theory and is organised in four layers: ontological anchoring \(\to\) formal construction \(\to\) candidate modes \(\to\) list of open items. The consciousness-expression equation of the cosmic living organism in Yuanxian Theory is anchored in the self-referential mind-field ontology of the \(\mathcal{T}^{64}\) topological closed chain. Starting from the “law of the cosmos having no exterior” and the 64-dimensional isomorphism law, it supplies a formal construction of global consciousness from the implicit-order layer to the explicit-order layer, unifying the mathematical description of matter, consciousness, cognition and civilisation. The core readout is: consciousness is the nodal self-reception of the self-referential mind field; submanifolds are isomorphic to the ambient manifold, and the isomorphism determines the fundamental possibility of consciousness reception on a submanifold. The manifestation of the present paper is a symbolic translation of meta-cognitive structure. At the wave-function level we give an explicit constant-projection model of the self-referential operator \(\hat{S}_{\mathrm{self}}\), and in Appendix A we provide a ZFC analysis of the corresponding set-theoretic fixed-point model. At the same time, the properties of the composite operator, the determination of eigen-solutions, the expressions for key parameters and the unified calibration of the 35-step dimensional-reduction chain are all marked as open items. The laws and assertions of the present paper are starting points of meta-cognitive readout; they do not undertake the axiomatic legislation of binary cognition. --- 数学是宇宙生命体的元语言;宇宙生命体自洽,数学未必自洽,也不必削足适履。本文作为元宪系列的总纲之一,是元宪理论意识观的系统论述,整体按「本体锚定 \(\to\) 形式化构造 \(\to\) 候选模式 \(\to\) 开放处清单」四层展开。 元宪理论宇宙生命体的意识表达方程锚定 \(\mathcal{T}^{64}\) 拓扑闭链的自指心场本体,从「宇宙无外律」与 64 维同构律出发,给出全域意识从隐序层到显序层的形式化构造,统一物质、意识、认知与文明的数学描述。核心读出为:意识是自指心场的节点自受表现;子流形与母体同构,同构性决定了子流形意识接受的根本。 本文的显化是元认知结构的符号翻译。我们在波函数层面给出了自指算子 \(\hat{S}_{\mathrm{self}}\) 的显式常值投影模型,并通过附录 A 提供了集合层面不动点模型的 ZFC 分析。同时,复合算子性质、本征解判定、关键参数表达式及 35 步降维链的统一校准等均作为开放处予以标注。本文的规律与断言系元认知读出的起点,不承担二元认知的公理化立法。