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State Locality Theory A Phenomenological Framework for the Quantum–Classical Transition

Mikhail Bespoyasov

Published Jan 1, 2026• 0 citations
Publisher

Abstract

A phenomenological framework describing spatial manifestation and visibility decay in mesoscopic quantum systems.
DOI
10.17605/osf.io/bwzr8

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This work introduces the State Locality Theory (SLT), a phenomenological framework describing the quantum–classical transition through a single continuous parameter of locality. The theory proposes that quantum behavior arises from low-locality states, while classical behavior emerges as locality increases, with decoherence interpreted as a natural consequence of this transition. SLT provides a unified explanation for interference visibility, gravitational amplification of locality, and the suppression of nonlocal correlations in macroscopic systems. The framework is formulated without modifying quantum mechanics, instead offering a phenomenological layer that clarifies how classicality emerges from quantum foundations. The theory outlines testable predictions, discusses implications for measurement, and proposes a structured approach for extending SLT toward a full dynamical formulation.
Classical information theory and quantum information theory are respectively based on Boolean algebra and Hilbert space projection lattices, lacking a unified logical framework for cross-scale physical propositions covering classical, mesoscopic and quantum domains. Traditional physics attributes the classical-quantum transition to continuous spatial scale variation, which is essentially external parameter determinism and cannot explain the peculiar intermediate characteristics of mesoscopic systems. This paper constructs the philosophical and mathematical foundation of mesoscopic information theory based on the coupling of S4 modal logic and the non-distributive modular lattice M₃. A composite axiom system is proposed, and Axiom 3 (a–g) realizes the consistent embedding of S4 modal operators on non-distributive lattices. The cross-scale evolution of physical systems is reinterpreted as discrete phase transition of propositional lattice types, with an endogenous CHSH-type correlation threshold τ≈2.414 serving as the operational criterion for mesoscopic phase. A Möbius-weighted lattice entropy independent of Shannon and von Neumann entropy is established to characterize structural information of mesoscopic logical systems. Noise and decoherence are redefined as intrinsic signals of lattice structural transition rather than simple information dissipation. This study establishes the independent ontological status of mesoscopic propositional systems, breaks the scale-phenomenological paradigm in traditional cross-scale physics, and provides a new foundational framework for the unification of cross-scale information theory.