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Spin Axioms in Different Geometries of Relativistic Continuum Physics

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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 three basic spin fields and nine constitutive fields are known. This empirem can be expressed by two spin axioms, one of them denying purely relativistic spin fields, and the other one relating the three additional basic fields and the nine additional constitutive fields to the known (and measurable) ones. 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 six to three 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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Authors and Affiliations

  1. Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstr. 36, D-10623, Berlin, Germany

    Heiko Herrmann, W. Muschik, G. Rückner & H.-H. von Borzeszkowski

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  1. Heiko Herrmann
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  2. W. Muschik
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  3. G. Rückner
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  4. H.-H. von Borzeszkowski
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Correspondence to H.-H. von Borzeszkowski.

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Herrmann, H., Muschik, W., Rückner, G. et al. Spin Axioms in Different Geometries of Relativistic Continuum Physics. Foundations of Physics 34, 1005–1021 (2004). https://doi.org/10.1023/B:FOOP.0000034226.19527.0e

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  • DOI: https://doi.org/10.1023/B:FOOP.0000034226.19527.0e

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