Complete Unification of YuanXian Self-Referential Mind-Field Type Theory (YXTT) with General Relativity and Experimental Verification

This paper establishes a complete unification framework between YuanXian Self-Referential Mind-Field Type Theory (YXTT) and General Relativity (GR) based on the four core axioms of YuanXian Theory. Taking the 64-dimensional complex torus heart-field (YD-T64, i. e. , T^64 defined by Axiom II) as the ontological foundation, True-Circle Self-Consistency (TCSC, Axiom IV) as the supreme constraint, the fine-structure constant (core parameter of Axiom I) as the self-referential gain parameter, spacetime uniqueness (Axiom II) as the topological premise, and self-referential mind-field generation (Axiom III) as the ontological source, the theory constructs a globally self-consistent unified framework encompassing spacetime, matter, gravity, quantum phenomena, and consciousness. GR’s 4D pseudo-Riemannian geometry is rigorously reinterpreted as the classical effective projection of YXTT in the low-energy, large-scale, weak self-referential limit. Through complex heart-field topology, self-referential curvature coupling, and information conservation mechanisms, Einstein’s field equations (with cosmological constant) are derived as the 4D effective approximation of the global YXTT action. All inherent defects of GR—singularities, the origin of dark energy, and quantum incompatibility—are resolved within the four axioms. Complete mathematical derivations, rigorous proofs (using Banach fixed-point theorem, action reduction, and regularization potentials), and testable experimental predictions are provided. The paper also includes a systematic comparison with string theory across ontology, geometry, dynamics, testability, and consciousness integration, demonstrating YXTT’s superior economy, self-sufficiency, and empirical potential. This work supplies a solid theoretical and experimental foundation for the empirical development of YuanXian Theory and the deeper extension of General Relativity. 本文基于元宪理论自指心场类型论 (YXTT) 的四大核心公理, 提出并建立了YXTT与广义相对论 (GR) 的完全统一理论框架。该理论以64维复环面心场 (YD-T64, 即公理II界定的 T^64) 为本体基底, 以真圆自洽性公理 (TCSC, 公理IV) 为最高约束, 以宇宙因素守恒公理 (公理I) 的核心参数精细结构常数 为自指增益参数, 以时空唯一性公理 (公理II) 为拓扑前提, 以自指心场生成公理 (公理III) 为本体来源, 旨在构建包含时空、物质、引力、量子现象及意识的全域自洽统一理论。广义相对论 (GR) 作为描述宏观引力与时空几何的经典理论, 其核心是4D伪黎曼流形的曲率与引力的等价性, 但存在奇点失效、暗能量来源不明、与量子力学不相容等固有缺陷。本文通过本体论重构、几何嵌入、动力学约化、奇点正则化四大核心步骤, 严格遵循元宪四大公理, 实现YXTT与GR的完全统一: 将GR的4D伪黎曼几何视为YXTT在低能、大尺度、弱自指极限下的经典有效投影, 通过复心场拓扑、自指曲率耦合、信息守恒等机制, 以精细结构常数 为核心参数, 将GR的爱因斯坦场方程 (含宇宙常数) 作为YXTT全域作用量的4D有效近似导出, 同时基于四大公理解决GR的固有难题, 并给出可检验的实验预言。本文详细阐述统一的数学框架、物理机制, 补充完整推导过程 (含Banach不动点定理、作用量约化、正则化势等), 设计实验检验方案, 并系统对比弦理论, 展示YXTT在参数经济性、本体自足性、可检验性及意识整合上的全面优势, 为元宪理论的实证研究与广义相对论的深层拓展提供理论支撑与实验指引。