Neutrinos in a spherical de Sitter universe: exclusive properties of isotropic geodesics.

Details Neutrinos in a spherical de Sitter universe: exclusive properties of isotropic geodesics. Neutrinos in a spherical de Sitter universe: exclusive properties of isotropic geodesics.

Oct 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998ruphj..41.1055c&link_type=abstract

Russ. Phys. J., Vol. 41, No. 10, p. 1055 - 1060

Physics

Neutrinos: De Sitter Universe

Scientific paper

The behavior of neutrinos as particles with spin 1/2 and with a strictly zero rest mass is studied. The qualitative differences between the case in which a particle's mass is small and that in which it is strictly zero are considered. In the former, a spin-1/2 particle must be described by a spinor, while in the latter, it can be described by a semispinor. These differences are manifested not only at the quantum but also at the classical level. It is essential that the care of a particle with a zero rest mass must be treated as strictly relativistic at any level. The exclusive properties of isotropic geodesic lines are considered. The chief one is their inherent conformal invariance. Because of it, the conformal angular momentum of a particle with zero rest mass is conserved in a Riemann universe that admits of a continuous group of conformal transformations. This is a 15-parameter group in a spherical de Sitter universe. Accordingly, 15 linearly independent, conformal momenta are conserved in it. The exclusive properties of isotropic geodesics in a spherical de Sitter universe are also manifested in the fact that they are straight in a five-dimensional, pseudo-Euclidean space enveloping that universe.

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