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The GHSZ Argument: A Gedankenexperiment Requiring More Denken
I reassess the gedankenexperiment of Greenberger, Horne, Shimony, and Zeilinger after twenty-five years, finding their influential claim to the discovery of an inconsistency inherent in high dimensional formulations of local realism to arise from a fundamental error of logic. They manage this by pre...
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Formato: | Online Artículo Texto |
Lenguaje: | English |
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MDPI
2020
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Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7517309/ https://www.ncbi.nlm.nih.gov/pubmed/33286531 http://dx.doi.org/10.3390/e22070759 |
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author | Lad, Frank |
author_facet | Lad, Frank |
author_sort | Lad, Frank |
collection | PubMed |
description | I reassess the gedankenexperiment of Greenberger, Horne, Shimony, and Zeilinger after twenty-five years, finding their influential claim to the discovery of an inconsistency inherent in high dimensional formulations of local realism to arise from a fundamental error of logic. They manage this by presuming contradictory premises: that a specific linear combination of four angles involved in their proposed parallel experiments on two pairs of electrons equals both [Formula: see text] and 0 at the same time. Ignoring this while presuming the contradictory implications of these two conditions, they introduce the contradiction themselves. The notation they use in their “derivation” is not sufficiently ornate to represent the entanglement in the double electron spin pair problem they design, confounding their error. The situation they propose actually motivates only an understanding of the full array of symmetries involved in their problem. In tandem with the error now recognised in the supposed defiance of Bell’s inequality by quantum probabilities, my reassessment of their work should motivate a reevaluation of the current consensus outlook regarding the principle of local realism and the proposition of hidden variables. |
format | Online Article Text |
id | pubmed-7517309 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2020 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-75173092020-11-09 The GHSZ Argument: A Gedankenexperiment Requiring More Denken Lad, Frank Entropy (Basel) Article I reassess the gedankenexperiment of Greenberger, Horne, Shimony, and Zeilinger after twenty-five years, finding their influential claim to the discovery of an inconsistency inherent in high dimensional formulations of local realism to arise from a fundamental error of logic. They manage this by presuming contradictory premises: that a specific linear combination of four angles involved in their proposed parallel experiments on two pairs of electrons equals both [Formula: see text] and 0 at the same time. Ignoring this while presuming the contradictory implications of these two conditions, they introduce the contradiction themselves. The notation they use in their “derivation” is not sufficiently ornate to represent the entanglement in the double electron spin pair problem they design, confounding their error. The situation they propose actually motivates only an understanding of the full array of symmetries involved in their problem. In tandem with the error now recognised in the supposed defiance of Bell’s inequality by quantum probabilities, my reassessment of their work should motivate a reevaluation of the current consensus outlook regarding the principle of local realism and the proposition of hidden variables. MDPI 2020-07-10 /pmc/articles/PMC7517309/ /pubmed/33286531 http://dx.doi.org/10.3390/e22070759 Text en © 2020 by the author. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Article Lad, Frank The GHSZ Argument: A Gedankenexperiment Requiring More Denken |
title | The GHSZ Argument: A Gedankenexperiment Requiring More Denken |
title_full | The GHSZ Argument: A Gedankenexperiment Requiring More Denken |
title_fullStr | The GHSZ Argument: A Gedankenexperiment Requiring More Denken |
title_full_unstemmed | The GHSZ Argument: A Gedankenexperiment Requiring More Denken |
title_short | The GHSZ Argument: A Gedankenexperiment Requiring More Denken |
title_sort | ghsz argument: a gedankenexperiment requiring more denken |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7517309/ https://www.ncbi.nlm.nih.gov/pubmed/33286531 http://dx.doi.org/10.3390/e22070759 |
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