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Classical statistical distributions can violate Bell's inequalities

Matzkin, A. (2007) Classical statistical distributions can violate Bell's inequalities. [Preprint]


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We investigate two-particle phase-space distributions in classical mechanics characterized by a well-defined value of the total angular momentum. We construct phase-space averages of observables related to the projection of the particles' angular momenta along axes with different orientations. It is shown that for certain observables, the correlation function violates Bell's inequality. The key to the violation resides in choosing observables impeding the realization of the counterfactual event that plays a prominent role in the derivation of the inequalities. This situation can have statistical (detection related) or dynamical (interaction related) underpinnings, but non-locality does not play any role.

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Item Type: Preprint
Matzkin, A.
Additional Information: Essentially the same paper that was posted as quant-ph/0703251 on
Keywords: Bell inequalities Nonlocality Local realism
Depositing User: Alex Matzkin
Date Deposited: 18 Apr 2007
Last Modified: 07 Oct 2010 15:15
Item ID: 3301
Date: March 2007

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