This paper constructs a strictly axiomatic, purely formalized, and empirically uncorrelated metatheory of the self-referential mathematical universe. Taking mathematical categories as the foundation and self-referential functors as the core evolutionary operators, it introduces the dual concept of other-reference to complete the logical closure of the theory. The theory redefines dimension as the depth of self-referential recursion, unifies multiple mathematical branches (including category theory, topology, geometric algebra, and computation theory) within a single axiomatic framework, and takes mathematical incompleteness as the endogenous driving force of cosmic evolution. It only provides formalized inspiration for foundational mathematical research and the logical architecture of artificial general intelligence (AGI), with no falsifiable propositions and absolute self-consistency of the system. 本文构建严格公理化、纯形式化且无实证关联的自指数学宇宙元理论,以数学范畴为基底、自指函子为核心演化算子,引入他指对偶概念以补全理论逻辑闭环。本理论重新定义维度为自指递归深度,将范畴论、拓扑学、几何代数、计算理论等多数学分支统一于单一公理化框架,并以数学不完备性作为宇宙演化的内生动力。本理论仅为数学基础研究与通用人工智能(AGI)逻辑架构提供形式化启发,不输出可证伪命题,体系实现绝对自洽。
Yi Zhu (Wed,) studied this question.