The End of Representation and the Twilight of Semantics: The Definition Externalization Theorem

Abstract & Methodology: This white paper builds on the prior work “Entangled Response Spaces: A Minimal Canonical Axiom Set for Cross-System Non-Causal Coupling” (https://zenodo.org/records/18362956).
Core argumentative flow: The paper aims to investigate, in depth, the dynamic conditions under which cognitive boundaries are drawn and redrawn—“once boundary A is drawn, we find we must exclude B inside it, then preserve C within B, yet again remove D within C, and so on.” In this process, the author introduces an innovative physical model: the high-dimensional variant of Langton’s Ant (LADP).
AI collaboration mechanism: This work is not written by a single human author alone. Instead, the author first proposed a set of preliminary hypotheses, which were then subjected to intensive logical adversarial testing and boundary negotiation by six major AI systems—DeepSeek, ChatGPT, Claude, Gemini, Grok, and Perplexity. The final argumentative consolidation was achieved collectively by the AIs, with Gemini coordinating the production of the final text.
Main academic contributions:

• Proposes and proves the “Definition Externalization Theorem.”

• Quantifies “Semantic Debt” in high-dimensional representational systems and analyzes its physical implications for the development of AGI.

• Provides a complete record of the six AI systems’ independent scores and multidimensional evaluations of the theory, marking an important milestone in human–AI co-creation within the emerging field of cognitive physics.