Published December 15, 2025
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REWA-WFT : Witness Field Theory A Unified Framework for Computation and Semantics
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Description
We present Witness Field Theory (WFT), a unified mathematical framework that describes computation and semantics as thermodynamic processes in a structured state space. We prove that WFT is both computationally universal (Turing-complete) and semantically complete (can represent any meaning structure), establishing a fundamental equivalence between logical validity and thermodynamic stability. Our framework generates a periodic table of computational primitives, revealing unexplored structures including retrocausal consistency, semantic shockwaves, and phase-transition databases. We prove that hallucination in learning systems is thermodynamically endothermic, explaining why grounded systems cannot fabricate information without external energy input. This work bridges computer science, information theory, and statistical physics, offering both theoretical insights and practical applications in safe AI systems, distributed semantics, and verifiable reasoning.