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Spin Axioms in Relativistic Continuum Physics

Heiko J. Herrmann·G. Rueckner·W. Muschik·H. -H. v. Borzeszkowski
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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.

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Heiko J. Herrmann, G. Rueckner, W. Muschik, H. -H. v. Borzeszkowski. 2002-08-09. Spin Axioms in Relativistic Continuum Physics. https://doi.org/10.1023/b%3Afoop.0000034226.19527.0e

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