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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:
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
Descripción
Sumario: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.