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Hidden Variables Foundation of Matrix Mechanics

Published by International Journal of Quantum Foundations on September 17, 2023

Volume 9, Issue 4, pages 182-186

Fosco Ruzzene

Bell inequalities violation is generally interpreted to rule out local and/or non-contextual hidden variables theories. Recently, an actual hidden variables model in matrix mechanics formulation was presented which is based on ontologically classical endogenous motion. All results of standard matrix mechanics are reproduced. A critical feature of the model is that it reproduces the mathematics of quantum observables including measurability, and hence quantum experiments. This feature can be a characteristic of a given class of hidden variables theories. There is then a direct conflict with the consensus interpretation of violation suggesting a need to reconsider Bell’s theorem. It is found there is an additional assumption restricting the type of hidden variables theories inequalities represent by excluding those which reproduce quantum mathematics. Any theory which reproduces the mathematics of quantum observables is thereby not subject to Bell-type constraints.

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Posted in Volume 9, Issue 4, October 2023 Tagged Original Paper

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