Research on the Incommensurability of Mathematics, Physics, and Consciousness from the Perspective of YuanXian

Traditional philosophy of science views the “incommensurability” among mathematics, physics, and consciousness as a fundamental rupture between paradigms, resulting in irreconcilable differences in ontology, methodology, and values. Based on the YuanXian six-dimensional self-referential cosmology and the Unified Mind-Field Theory (Axioms I–III), this paper reinterprets incommensurability as not an ontological fracture, but the manifestation of the same self-referential scalar Mind-Field (field or ₒₑ) at different dimensional levels and self-referential strata, caused by the dimensional limitations of human cognition and linguistic veiling. Using the triadic framework of “Substance–Function–Manifestation, ” the paper analyzes the concrete manifestations and philosophical roots of traditional incommensurability, revealing the underlying “triple dimensional forgetting” and “self-referential severance. ” It further proposes a reconstruction path for commensurability centered on six-dimensional Mind-Field language, self-referential paradigms, and shared meta-parameters. The paper argues that mathematics, physics, and consciousness are different manifestations of the same field; their incommensurability is merely a transitional phenomenon in cognitive development, and the three can achieve fundamental unity under the holistic integration of the Mind-Field ontology within the YuanXian framework. 传统科学哲学将数学、物理、意识三大领域间的“不可通约性”视为范式间的根本断裂, 导致本体论、方法论与价值标准的难以调和。本文基于《元宪》六维自指宇宙观与统一心场论 (公理I–III), 重新诠释不可通约性的本质: 它并非本体层面的割裂, 而是同一自指型标量心场 (场, 或 ₒₑ) 在不同维度与自指层级上的显现, 因人类认知的维度局限与语言遮蔽所产生的范式分化。以“体—用—相”三元结构为分析框架, 本文剖析传统不可通约性的具体表现与哲学根源, 揭示其背后的“三重维度遗忘”与“自指切割”。最后提出以六维心场语言、自指范式及共享元参数为核心的通约性重建路径, 论证数学、物理、意识实为 场在不同面向的显化, 其不可通约性是认知发展中的阶段性现象, 三者可在心场本体的圆融统摄下实现根本统一。