Poly-Logic as Quantum Cognition: Resolution Matrix Semantics at the Intersection of Modal Logic, Neuroscience, and Physics

This paper introduces Resolution Matrix Semantics (RMS), a novel framework for modal logic that prioritizes indeterminate truth values and sub-interpretations over traditional relational structures, offering a poly-logic model that mirrors human cognition. Drawing on Vladimir Bibler’s concept of poly-logic substantive control, RMS captures the pluralistic, concurrent nature of human reasoning by evaluating logical formulas across multiple interpretive threads, resolving ambiguities akin to quantum cognitive processes. By integrating insights from quantum cognition, neuroscience, and parallel computing, the paper argues that RMS reflects the brain’s intrinsic ability to navigate uncertainty through superposition-like states and entangled judgments. Philosophically, RMS challenges classical mono-logic assumptions, aligning with non-classical logics and pluralistic epistemologies. Its implications extend to AI, NLP, and quantum computing, promising rapid, precise decision-making under uncertainty. RMS thus redefines rationality as a dynamic, dialogic process, bridging logic, cognition, and the fundamental indeterminacy of reality.