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arXiv:2103.04335 [quant-ph]AbstractReferencesReviewsResources

Explicit construction of Local Hidden Variables for any quantum theory up to any desired accuracy

Gerard t Hooft

Published 2021-03-07Version 1

The machinery of quantum mechanics is fully capable of describing a single ontological world. Here we discuss the converse: in spite of appearances, and indeed numerous claims to the contrary, any quantum mechanical model can be mimicked, up to any required accuracy, by a completely classical system of equations. An implication of this observation is that Bell's theorem cannot hold in many cases. This is explained by scrutinising Bell's assumptions concerning causality, retrocausality, statistical (in-)dependence, and his fear of `conspiracy' (there is no conspiracy in our constructions). The potential importance of our construction in model building is discussed.

Comments: 13 pages, no figures, Submitted to "Quantum Mechanics and Fundamentality: Naturalizing Quantum Theory between Scientific Realism and Ontological Indeterminacy", ed. by Valia Allori, Springer Nature, Switzerland
Categories: quant-ph, hep-th, math-ph, math.MP
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