Spin Axioms in Relativistic Continuum Physics
Abstract
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 material-independent 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.
Keywords
Cite
@article{arxiv.gr-qc/0208004,
title = {Spin Axioms in Relativistic Continuum Physics},
author = {Heiko J. Herrmann and G. Rueckner and W. Muschik and H. -H. v. Borzeszkowski},
journal= {arXiv preprint arXiv:gr-qc/0208004},
year = {2013}
}
Comments
15 pages, dirac-electron example has been rewritten