NonBoolean Hidden Variables model reproduces Quantum Mechanics' predictions for Bell's experiment
Abstract
Bell's inequalities are equivalent to the conditions G.Boole formulated to determine the completeness of a theory. This formulation was based on intuitive, "Boolean" logic. A counterfactual definite and local hidden variables model is presented, which reproduces Quantum Mechanics' predictions for an even ideally perfect Bell's experiment (hence, it violates Bell's inequalities). This is possible thanks to a vector hidden variable and a corresponding operation (projection), which do not hold to Boolean logic.
 Publication:

arXiv eprints
 Pub Date:
 May 2020
 arXiv:
 arXiv:2005.10367
 Bibcode:
 2020arXiv200510367H
 Keywords:

 Quantum Physics
 EPrint:
 10 pages, 1 figure