Equivalence of Local Dynamical Hidden-Variable Models to Static Bell Locality

• URL: http://arxiv.org/abs/2604.18238v2
• Date: Tue, 21 Apr 2026 11:27:48 GMT
• Title: Equivalence of Local Dynamical Hidden-Variable Models to Static Bell Locality
• Abstract summary: Bell's theorem establishes a fundamental incompatibility between quantum mechanics and local realism.<n>We show that local dynamical evolution or measurement-induced disturbances of hidden variables might bypass this constraint.<n>Our results establish a universal boundary: nonlocal statistical correlations can never be synthesized by purely local complexity.
• Score: 5.649244092106778
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Bell's theorem establishes a fundamental incompatibility between quantum mechanics and local realism. However, persistent physical intuition suggests that local dynamical evolution or measurement-induced disturbances of hidden variables might bypass this constraint. We establish a generalized transition-kernel framework encompassing arbitrary local dynamics and rigorously prove a collapse theorem: any strictly local dynamical model is mathematically isomorphic to a static Bell model. We reveal that attempts to circumvent this equivalence--including historical temporal models and recent macroscopic pilot-wave hydrodynamic analogs--inevitably harbor explicit nonlocality (parameter dependence) or forfeit measurement independence. Our results establish a universal boundary: nonlocal statistical correlations can never be synthesized by purely local dynamical complexity.

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