Nonlinear effects in Thomas precession due to the interplay of Lorentz contraction and Thomas–Wigner rotation

It is demonstrated that the 3-vector [Formula: see text] currently associated to the spin in an inertial frame does not contract, but rather dilates, in the direction of the velocity. The correct vector [Formula: see text] is individuated. The equation of motion for the two vectors is shown to conta...

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Detalles Bibliográficos
Autor principal: Di Lorenzo, Antonio
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9537424/
https://www.ncbi.nlm.nih.gov/pubmed/36202868
http://dx.doi.org/10.1038/s41598-022-20942-w
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author Di Lorenzo, Antonio
author_facet Di Lorenzo, Antonio
author_sort Di Lorenzo, Antonio
collection PubMed
description It is demonstrated that the 3-vector [Formula: see text] currently associated to the spin in an inertial frame does not contract, but rather dilates, in the direction of the velocity. The correct vector [Formula: see text] is individuated. The equation of motion for the two vectors is shown to contain two terms, a common linear rotation, identified with Thomas precession, and also a nonlinear rotation depending on the direction of the spin itself.
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spelling pubmed-95374242022-10-08 Nonlinear effects in Thomas precession due to the interplay of Lorentz contraction and Thomas–Wigner rotation Di Lorenzo, Antonio Sci Rep Article It is demonstrated that the 3-vector [Formula: see text] currently associated to the spin in an inertial frame does not contract, but rather dilates, in the direction of the velocity. The correct vector [Formula: see text] is individuated. The equation of motion for the two vectors is shown to contain two terms, a common linear rotation, identified with Thomas precession, and also a nonlinear rotation depending on the direction of the spin itself. Nature Publishing Group UK 2022-10-06 /pmc/articles/PMC9537424/ /pubmed/36202868 http://dx.doi.org/10.1038/s41598-022-20942-w Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/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/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Di Lorenzo, Antonio
Nonlinear effects in Thomas precession due to the interplay of Lorentz contraction and Thomas–Wigner rotation
title Nonlinear effects in Thomas precession due to the interplay of Lorentz contraction and Thomas–Wigner rotation
title_full Nonlinear effects in Thomas precession due to the interplay of Lorentz contraction and Thomas–Wigner rotation
title_fullStr Nonlinear effects in Thomas precession due to the interplay of Lorentz contraction and Thomas–Wigner rotation
title_full_unstemmed Nonlinear effects in Thomas precession due to the interplay of Lorentz contraction and Thomas–Wigner rotation
title_short Nonlinear effects in Thomas precession due to the interplay of Lorentz contraction and Thomas–Wigner rotation
title_sort nonlinear effects in thomas precession due to the interplay of lorentz contraction and thomas–wigner rotation
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9537424/
https://www.ncbi.nlm.nih.gov/pubmed/36202868
http://dx.doi.org/10.1038/s41598-022-20942-w
work_keys_str_mv AT dilorenzoantonio nonlineareffectsinthomasprecessionduetotheinterplayoflorentzcontractionandthomaswignerrotation

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