Yuan-Xian Self-Referential Mind-Field Type Theory (YXTT): Mathematical Foundations, Physical Realization, and the Unification Program of YuanXian Theory — Formalization of YuanXian Cosmic, 64-Dimensional Torus Geometry, and Proof of Ultimate Unity

This paper presents the core technical realization of the YuanXian Theory unification program at the rigorous mathematical formalization level — the complete construction and development of YuanXian Self-Referential Mind-Field Type Theory (YXTT). YXTT aims to provide a computable, derivable, and falsifiable mathematical foundation for the universe depicted in YuanXian Cosmic, which takes the “self-referential living entity” as ontology, “information conservation” as dynamics, and “YD-T64” as structure. Its construction strictly follows the four core axioms of YuanXian Theory and realizes the mathematical formalization and physical concretization of the axiom system. Key contributions include: a complete axiomatic system based on Homotopy Type Theory (HoTT); technical solutions for self-referential consistency using the True-Circle Self-Consistency (TCSC) axiom; precise correspondence between the manifestation operator M_o and quantum measurement; geometric realization on the 64-dimensional torus T⁶⁴ ; rigorous relations with existing theories; and falsifiable physical predictions, particularly the dynamical variation of the fine-structure constant α . This work marks the transition of YuanXian Theory from a philosophical-physical program to a formal scientific theory with solid mathematical foundations. 中文摘要: 本文是“元宪理论”统一纲领在严格数学形式化层面的核心技术实现,即自指心场类型论(YuanXian Self-Referential Mind-Field Type Theory, YXTT)