Spin axioms in relativistic continuum physics

The 24 components of the relativistic spin tensor consist of 3 + 3 basic spin fields and 9 + 9 constitutive fields. Empirically only 3 basic spin fields and 9 constitutive fields are known. This empirem can be expressed by two spin axioms, one of them identifying 3 spin fields, and the other one 9 c...

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Main Authors: Herrmann H.J., Ruckner G., Muschik W., Borzeszkowski H.H.v.
Format: Article
Language:English
Published: Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade 2002-01-01
Series:Theoretical and Applied Mechanics
Online Access:http://www.doiserbia.nb.rs/img/doi/1450-5584/2002/1450-55840229169H.pdf
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author Herrmann H.J.
Ruckner G.
Muschik W.
Borzeszkowski H.H.v.
author_facet Herrmann H.J.
Ruckner G.
Muschik W.
Borzeszkowski H.H.v.
author_sort Herrmann H.J.
collection DOAJ
description The 24 components of the relativistic spin tensor consist of 3 + 3 basic spin fields and 9 + 9 constitutive fields. Empirically only 3 basic spin fields and 9 constitutive fields are known. This empirem can be expressed by two spin axioms, one of them identifying 3 spin fields, and the other one 9 constitutive fields to each other. This identification by the spin axioms is materialindependent and does not mix basic spin fields with constitutive properties. The approaches to the Weyssenhoff fluid and the Dirac-electron fluid found in literature are discussed with regard to these spin axioms. The conjecture is formulated, that another reduction from 6 to 3 basic spin fields which does not obey the spin axioms introduces special material properties by not allowed mixing of constitutive and basic fields. .
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spelling doaj.art-44c2fa2425b5475689256a6e0c9fb9fc2022-12-22T01:06:12ZengSerbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, BelgradeTheoretical and Applied Mechanics1450-55842002-01-01200228-2916918410.2298/TAM0229169HSpin axioms in relativistic continuum physicsHerrmann H.J.Ruckner G.Muschik W.Borzeszkowski H.H.v.The 24 components of the relativistic spin tensor consist of 3 + 3 basic spin fields and 9 + 9 constitutive fields. Empirically only 3 basic spin fields and 9 constitutive fields are known. This empirem can be expressed by two spin axioms, one of them identifying 3 spin fields, and the other one 9 constitutive fields to each other. This identification by the spin axioms is materialindependent and does not mix basic spin fields with constitutive properties. The approaches to the Weyssenhoff fluid and the Dirac-electron fluid found in literature are discussed with regard to these spin axioms. The conjecture is formulated, that another reduction from 6 to 3 basic spin fields which does not obey the spin axioms introduces special material properties by not allowed mixing of constitutive and basic fields. .http://www.doiserbia.nb.rs/img/doi/1450-5584/2002/1450-55840229169H.pdf
spellingShingle Herrmann H.J.
Ruckner G.
Muschik W.
Borzeszkowski H.H.v.
Spin axioms in relativistic continuum physics
Theoretical and Applied Mechanics
title Spin axioms in relativistic continuum physics
title_full Spin axioms in relativistic continuum physics
title_fullStr Spin axioms in relativistic continuum physics
title_full_unstemmed Spin axioms in relativistic continuum physics
title_short Spin axioms in relativistic continuum physics
title_sort spin axioms in relativistic continuum physics
url http://www.doiserbia.nb.rs/img/doi/1450-5584/2002/1450-55840229169H.pdf
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AT rucknerg spinaxiomsinrelativisticcontinuumphysics
AT muschikw spinaxiomsinrelativisticcontinuumphysics
AT borzeszkowskihhv spinaxiomsinrelativisticcontinuumphysics