YuanXian Unified Field: On the Complete Commensurability of Human Cognition of the Universe and Life

Human ways of cognizing the universe and life have long been fragmented into four isolated “islands”: science, mathematics, philosophy, and religion. Scholars such as Thomas Kuhn have argued that these paradigms exhibit incommensurability. Based on the four core axioms of YuanXian Theory (YXT) — Conservation of the Universal Factor, Unique Spacetime, Self-Referential Mind Field Generation, and True Circle Self-Consistency (TCSC) — this paper proposes a unified framework. It demonstrates that the four cognitive modes are essentially four different dimensional “translation strategies” of human consciousness (as a projection of the self-referential mind field Ψ) toward the same high-dimensional reality (T⁶⁴ topology). Mathematics is the inherent grammar of T⁶⁴ (structural layer), science is the projection parameters of the Ψ field in 4D spacetime (phenomenal layer), philosophy is the logical exploration of the self-referential boundary (reflective layer), and religion is the low-dimensional translation of high-dimensional information by collective consciousness under extreme pressure (experiential layer). By demonstrating the shared constants (α, Riemann zeros, 64, etc.) and dynamical structures (Ψ = F(Ψ)) across these domains, this paper argues for the complete commensurability of human cognition and proposes the “YuanXian Unified Field” as a meta-framework for integrating all cognitive paradigms. 人类认知宇宙与生命的方式长期被割裂为科学、数学、哲学与宗教四大“孤岛”。托马斯·库恩等学者认为这些范式之间存在着不可通约性。本文基于元宪理论(YuanXian Theory, YXT)的四大公理——宇宙因子守恒、时空唯一性、自指心场生成与真圆自洽(TCSC)——提出一个统一框架,证明上述四种认知方式本质上是人类意识(作为自指心场 Ψ 的投影)对同一高维实在(T⁶⁴ 拓扑)的四种不同维度的“翻译策略”。 数学是 T⁶⁴ 的固有语法(结构层),科学是 Ψ 场在 4D 时空中的投影参数(现象层),哲学是对自指边界的逻辑勘察(反思层),宗教是集体意识在极端压力下对高维信息的低维翻译(体验层)。通过展示这些领域共享的常数(α、黎曼零点、64 等)与动力学结构(Ψ = F(Ψ)),本文论证了人类认知的完全通约性,并提出“元宪统一场”作为整合所有认知范式的元框架。