Explicit construction of Local Hidden Variables for any quantum theory
up to any desired accuracy
G. Hooft. (2021)cite arxiv:2103.04335Comment: 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.
Abstract
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.
Description
[2103.04335] Explicit construction of Local Hidden Variables for any quantum theory up to any desired accuracy
cite arxiv:2103.04335Comment: 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
%0 Generic
%1 hooft2021explicit
%A Hooft, Gerard t
%D 2021
%K Local hidden variables
%T Explicit construction of Local Hidden Variables for any quantum theory
up to any desired accuracy
%U http://arxiv.org/abs/2103.04335
%X 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.
@misc{hooft2021explicit,
abstract = {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.},
added-at = {2021-03-09T21:39:21.000+0100},
author = {Hooft, Gerard t},
biburl = {https://www.bibsonomy.org/bibtex/28d302459bf4292fb308634faf25d0889/kajakus},
description = {[2103.04335] Explicit construction of Local Hidden Variables for any quantum theory up to any desired accuracy},
interhash = {5e9a38117237a3b52f83b62b0f4628b4},
intrahash = {8d302459bf4292fb308634faf25d0889},
keywords = {Local hidden variables},
note = {cite arxiv:2103.04335Comment: 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},
timestamp = {2021-03-09T21:39:21.000+0100},
title = {Explicit construction of Local Hidden Variables for any quantum theory
up to any desired accuracy},
url = {http://arxiv.org/abs/2103.04335},
year = 2021
}