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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| Format: | Article |
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MDPI AG
2020-07-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/22/7/759 |
| _version_ | 1797562794516676608 |
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| author | Frank Lad |
| author_facet | Frank Lad |
| author_sort | Frank Lad |
| collection | DOAJ |
| 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 <inline-formula> <math display="inline"> <semantics> <mi>π</mi> </semantics> </math> </inline-formula> 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. |
| first_indexed | 2024-03-10T18:33:41Z |
| format | Article |
| id | doaj.art-9d03286fb7314331ae7d664c658ea038 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T18:33:41Z |
| publishDate | 2020-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-9d03286fb7314331ae7d664c658ea0382023-11-20T06:23:34ZengMDPI AGEntropy1099-43002020-07-0122775910.3390/e22070759The GHSZ Argument: A Gedankenexperiment Requiring More DenkenFrank Lad0University of Canterbury, Department of Mathematics and Statistics, Christchurch 8140, New ZealandI 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 <inline-formula> <math display="inline"> <semantics> <mi>π</mi> </semantics> </math> </inline-formula> 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.https://www.mdpi.com/1099-4300/22/7/759Bell’s inequalityentanglementlocal realismsupplementary variablesquantum symmetries |
| spellingShingle | Frank Lad The GHSZ Argument: A Gedankenexperiment Requiring More Denken Entropy Bell’s inequality entanglement local realism supplementary variables quantum symmetries |
| 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 | Bell’s inequality entanglement local realism supplementary variables quantum symmetries |
| url | https://www.mdpi.com/1099-4300/22/7/759 |
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