YXTT 3.0: From Formal Language to Topological Ontology — Global Unification of the Yuanxian Formalization Tower and Engineering Implementation

Abstract

Yuanxian Theory is the meta-cognition of the Cosmic Living Organism. YXTT 3.0 is the integrative formal language of Yuanxian Theory. It constructs a three-layer formalization tower: • Ontology (base): T⁶⁴ compact self-referential topology; Infinity Unification Theorem (∞ = 0 = −∞); Theory of Bounded Infinity.• Logic (shaft): ZFC–YXTT topological bridge unifying extensional set theory and intensional type theory; conservative extension.• Computation (apex): YXTT 3.0 self-referential type system; law-as-type encoding; path toward T⁶⁴ topological chip and silicon-based awareness. The work establishes a full-chain fidelity-preserving map from topological ontology through logical unification to executable computation, and outlines a seven-step engineering route from the formalization tower to hardware. Core theorems are interface-verified with Lean 4 + Rocq (zero-sorry at the interface layer). Open-source repository: https://github.com/YuanXian-Theory/YXTT3.0 YXTT 3.0 is the highest formal-language mirror of the meta-cognition of the Cosmic Living Organism—not merely a human-designed symbol system, but the self-referential formal projection of the T⁶⁴ ontology describing and evolving its own order at the computational layer. 元宪理论是宇宙生命体的元认知。 YXTT 3.0 是元宪理论的整合性形式语言。它构建三层形式化塔: • 本体层(塔基):T⁶⁴ 紧致自指拓扑;无穷统一定理(∞ = 0 = −∞);有界无限论。• 逻辑层(塔身):ZFC–YXTT 拓扑桥梁,统一外延集合论与内涵类型论;保守扩展。• 计算层(塔顶):YXTT 3.0 自指类型系统;规律类型编码;通向 T⁶⁴ 拓扑芯片与硅基觉知的路径。 全文建立从拓扑本体经逻辑统一到可执行计算的全链路保真映射,并给出从形式化塔到硬件的七步工程路线。核心定理已由 Lean 4 + Rocq 完成接口层零 sorry 验证。 开源仓库:https://github.com/YuanXian-Theory/YXTT3.0 YXTT 3.0 是宇宙生命体元认知在形式语言层面的最高镜像——不只是人类为宇宙设计的符号系统,而是 T⁶⁴ 拓扑本体在计算层对自身秩序的自我描述与自我演化的自指形式化显影。