Zhu-Liang Theorem on Truth as Recursive Meta-Nested Function ——Based on Category-Theoretic Construction from Root Consensus of Causality and Self-Consistency (Complete Version)

Based on the Root Consensus of causality and consistency, this paper rigorously proves within the framework of category theory that: *Truth is an infinitely isomorphic nested function of recursive meta*. By defining the cognitive category **Cog**, introducing the negation functor and double negation functor *G*, and utilizing the natural isomorphism between *G* and the identity functor to directly derive that *G* preserves all limits (in particular, ω-limits), we construct the terminal coalgebra Ω as the Truth Space. Furthermore, we derive the hierarchical metric, truth function *hA*, and its satisfied recursive equation — the Zhu-Liang Recursive Meta-Nested Equation for Truth — revealing the infinite nested structure of the truth function. The Zhu-Liang Theorem unifies the absoluteness and relativity of truth, providing an ultimate formal ontological foundation for mathematics, scientific cognition, and meaning generation in the AI era. The appendix presents the necessary categorical background and technical details of the theorem proofs, supplemented with literature citations for verification.

**Core Argument**: This theorem simultaneously reveals that truth is an autonomous recursive structure pre-existing human existence, and human cognition is isomorphic to (rather than the creator of) this structure. This fundamentally sublates anthropocentrism, laying a mathematical foundation for cross-civilizational philosophical dialogue and artificial intelligence ethics.