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Spin and torsion in the very early universe

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  • Bäuerle, G.G.A.
  • Haneveld, Chr.J.

Abstract

In the very early universe with temperature T between 1024 K and 1032 K the gravitational effect of torsion is dominant if particles with spin are sufficiently polarized. The source of the torsion is the spin density and the latter is usually described by a classical theory of Weyssenhoff and Raabe. In this article the spinning particles are described quantum mechanically, i.e. with a Dirac field and the spin density is defined as the source of the torsion. The macroscopic average of the spin density is obtained by the relativistic Wigner function formalism. The expression of the spin density, as derived in this article, is different from the classical one, except when both are zero.

Suggested Citation

  • Bäuerle, G.G.A. & Haneveld, Chr.J., 1983. "Spin and torsion in the very early universe," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 121(3), pages 541-551.
  • Handle: RePEc:eee:phsmap:v:121:y:1983:i:3:p:541-551
    DOI: 10.1016/0378-4371(83)90009-2
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    References listed on IDEAS

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    1. P. J. Nieuwenhuizen, 1974. "Aspekte van die Monetêre Problematiek," South African Journal of Economics, Economic Society of South Africa, vol. 42(3), pages 166-176, September.
    2. Heyde, C. C., 1973. "Revisits for transient random walk," Stochastic Processes and their Applications, Elsevier, vol. 1(1), pages 33-51, January.
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