Hidden fields preclude the demonstration of Bell-type theorem

Abstract: We demonstrate that classical local field theories can violate Bell’s theorem. To this end, we argue that the physical magnitudes appearing in such theories correspond to hidden fields of dynamical nature. This requires reconsidering Bell’s proof in terms of random fields, what prevents the expression of the correlation integral as a spacetime-independent variable. Then, taking into account that the probability distribution evolves in time, we show that the spin-correlation cannot be expressed in terms of a probability density defined on initial data, which is independent of the measurement process. Finally, we derive a new inequality that is not violated by quantum correlation functions of entangled spin pairs. Following recent results, we propose that Maxwell’s classical electromagnetism and its general covariant formulation might be the so long-desired hidden variable theory that produces quantum fluctuations.

mathematical physicsgeneral physicsquantum physics

Audience: general audience

( slides )

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QM Foundations & Nature of Time seminar

Series comments: Description: Physics foundations discussion seminar

Current access link in th.if.uj.edu.pl/~dudaj/QMFNoT

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