True-Circle Self-Consistency (TCSC) Axiom System: Mathematical Formalization and Ontological Construction

This paper proposes a novel axiomatic system — True-Circle Self-Consistency (TCSC) — designed to characterize the ultimate logical state of absolutely isolated systems without externality, such as the cosmic(本体). By integrating Closure, Self-Referential Stability, and Generative Completeness into a triune framework, TCSC transcends Gödelian completeness limitations. It achieves strict mathematical convergence, complete logical self-sufficiency, and ontological self-generation, providing a rigorous formal foundation for YuanXian(the Meta-Constitution)theory. 本文提出了一种新型公理体系——真圆自洽性(True-Circle Self-Consistency, TCSC),旨在刻画绝对孤立且无外部性的系统(如宇宙本体)的终极逻辑状态。TCSC 将闭合性、自指稳定性与生成完备性整合为三位一体的公理框架,超越了传统哥德尔完备性的局限,在数学上实现严格收敛,在逻辑上达到完全自足,在本体上实现自我生成,为《元宪》理论提供了严谨的形式化基础。