THEORETICAL AND APPLIED MECHANICS

 

   TEORIJSKA I PRIMENJENA MEHANIKA  2002

Vol.28-29, pp.169-184

 

 

 

Summary: 

H. J. Herrmann    G. Ruckner    W. Muschik
H.H.v.Borzeszkowski

   
 

 

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 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.