Spacetime Uniqueness (Axiom II) — Topological Formulation Based on the Yuan-Xian YD-T64 Theoretical Framework

This paper provides a rigorous topological formalization of Axiom II (Spacetime Uniqueness) within the Yuan-Xian (meta-constitution) YD-T64 theoretical framework. The axiom asserts that the universe, as a self-referential holographic system, possesses a manifested spacetime (denoted M₄) that is unique, non-replicable, non-branching, and non-overlapping — a four-dimensional Lorentzian manifold. By introducing the holographic base T₆₄ (a 64-dimensional torus) and the spacetime-heart field fiber bundle structure, a triple unique binding is established among spacetime points, information imprints, and worldlines. Using topological invariants such as the Euler characteristic (M₄) = 0, the first Chern class c₁ (E) = 0, and the fundamental group ₁ (M₄) = \e\, the global non-branching property and the Möbius–True Circle structure of spacetime are characterized. Mathematically, this axiom strictly prohibits parallel universes, spacetime branching, wormholes, and other multi-world structures, thereby providing a background-independent ontological foundation for spacetime in unified field theory and self-referential heart-field dynamics. 本文在元宪 YD-T64 理论框架下, 对公理 II (时空唯一性) 进行严格的拓扑形式化表述。本公理主张: 宇宙作为自指全息系统, 其显现时空 (记作 M₄) 是一个唯一、不可复制、不可分叉、不可重叠的四维洛伦兹流形。通过引入全息基底 T₆₄ (64 维环面) 与时空-心场纤维丛结构, 建立时空点、信息印记与世界线之间的三重唯一绑定, 并借助欧拉示性数 (M₄) = 0 、第一陈类 c₁ (E) = 0 与基本群 ₁ (M₄) = \e\ 等拓扑不变量, 刻画时空的全局不可分叉性与莫比乌斯-真圆结构。本公理在数学上严格禁止平行宇宙、时空分支与虫洞等多世界结构, 为统一场论与自指心场动力学提供了背景独立的时空本体论基础。