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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Format: | Article |
Language: | English |
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Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade
2002-01-01
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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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format | Article |
id | doaj.art-44c2fa2425b5475689256a6e0c9fb9fc |
institution | Directory Open Access Journal |
issn | 1450-5584 |
language | English |
last_indexed | 2024-12-11T13:10:29Z |
publishDate | 2002-01-01 |
publisher | Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade |
record_format | Article |
series | Theoretical and Applied Mechanics |
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 |
work_keys_str_mv | AT herrmannhj spinaxiomsinrelativisticcontinuumphysics AT rucknerg spinaxiomsinrelativisticcontinuumphysics AT muschikw spinaxiomsinrelativisticcontinuumphysics AT borzeszkowskihhv spinaxiomsinrelativisticcontinuumphysics |