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Answering Mermin’s challenge with conservation per no preferred reference frame

In 1981, Mermin published a now famous paper titled, “Bringing home the atomic world: Quantum mysteries for anybody” that Feynman called, “One of the most beautiful papers in physics that I know.” Therein, he presented the “Mermin device” that illustrates the conundrum of quantum entanglement per th...

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Autores principales: Stuckey, W. M., Silberstein, Michael, McDevitt, Timothy, Le, T. D.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7519099/
https://www.ncbi.nlm.nih.gov/pubmed/32978499
http://dx.doi.org/10.1038/s41598-020-72817-7
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author Stuckey, W. M.
Silberstein, Michael
McDevitt, Timothy
Le, T. D.
author_facet Stuckey, W. M.
Silberstein, Michael
McDevitt, Timothy
Le, T. D.
author_sort Stuckey, W. M.
collection PubMed
description In 1981, Mermin published a now famous paper titled, “Bringing home the atomic world: Quantum mysteries for anybody” that Feynman called, “One of the most beautiful papers in physics that I know.” Therein, he presented the “Mermin device” that illustrates the conundrum of quantum entanglement per the Bell spin states for the “general reader.” He then challenged the “physicist reader” to explain the way the device works “in terms meaningful to a general reader struggling with the dilemma raised by the device.” Herein, we show how “conservation per no preferred reference frame (NPRF)” answers that challenge. In short, the explicit conservation that obtains for Alice and Bob’s Stern-Gerlach spin measurement outcomes in the same reference frame holds only on average in different reference frames, not on a trial-by-trial basis. This conservation is SO(3) invariant in the relevant symmetry plane in real space per the SU(2) invariance of its corresponding Bell spin state in Hilbert space. Since NPRF is also responsible for the postulates of special relativity, and therefore its counterintuitive aspects of time dilation and length contraction, we see that the symmetry group relating non-relativistic quantum mechanics and special relativity via their “mysteries” is the restricted Lorentz group.
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spelling pubmed-75190992020-09-29 Answering Mermin’s challenge with conservation per no preferred reference frame Stuckey, W. M. Silberstein, Michael McDevitt, Timothy Le, T. D. Sci Rep Article In 1981, Mermin published a now famous paper titled, “Bringing home the atomic world: Quantum mysteries for anybody” that Feynman called, “One of the most beautiful papers in physics that I know.” Therein, he presented the “Mermin device” that illustrates the conundrum of quantum entanglement per the Bell spin states for the “general reader.” He then challenged the “physicist reader” to explain the way the device works “in terms meaningful to a general reader struggling with the dilemma raised by the device.” Herein, we show how “conservation per no preferred reference frame (NPRF)” answers that challenge. In short, the explicit conservation that obtains for Alice and Bob’s Stern-Gerlach spin measurement outcomes in the same reference frame holds only on average in different reference frames, not on a trial-by-trial basis. This conservation is SO(3) invariant in the relevant symmetry plane in real space per the SU(2) invariance of its corresponding Bell spin state in Hilbert space. Since NPRF is also responsible for the postulates of special relativity, and therefore its counterintuitive aspects of time dilation and length contraction, we see that the symmetry group relating non-relativistic quantum mechanics and special relativity via their “mysteries” is the restricted Lorentz group. Nature Publishing Group UK 2020-09-25 /pmc/articles/PMC7519099/ /pubmed/32978499 http://dx.doi.org/10.1038/s41598-020-72817-7 Text en © The Author(s) 2020 Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Article
Stuckey, W. M.
Silberstein, Michael
McDevitt, Timothy
Le, T. D.
Answering Mermin’s challenge with conservation per no preferred reference frame
title Answering Mermin’s challenge with conservation per no preferred reference frame
title_full Answering Mermin’s challenge with conservation per no preferred reference frame
title_fullStr Answering Mermin’s challenge with conservation per no preferred reference frame
title_full_unstemmed Answering Mermin’s challenge with conservation per no preferred reference frame
title_short Answering Mermin’s challenge with conservation per no preferred reference frame
title_sort answering mermin’s challenge with conservation per no preferred reference frame
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7519099/
https://www.ncbi.nlm.nih.gov/pubmed/32978499
http://dx.doi.org/10.1038/s41598-020-72817-7
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