The Singularity of Causal Consistency Formal Boundaries and Higher-Order Guardianship in Feedback-Coupled Networks

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Abstract

This paper establishes a formal boundary for logical consistency in AI by identifying the "Logical Singularity" in high-coupling feedback environments. I provide a mathematical proof (Theorem 1) demonstrating that satisfiable models for single-layer logic do not exist when coupling K>1. My findings reveal a "Scale Paradox," where increasing model parameters fails to resolve these structural deadlocks. To overcome this, I introduce the LCCI framework, which employs higher-order logical guardianship to restore causal coherence in complex systems.

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