Topological quasicharges in the Einstein theory of teleparallelism and particle combinatorics
Abstract
A Riemann space with absolute parallelism is considered. Geometry is given by the field of nframes h{_{μ}/^{a}}. It is shown that for a localized field configuration h one can define a topological charge — an element of the homotopy group G_{m}= π_{m}(SO_{m}), m=n1. The most interesting case of m=6, G_{6}=0, is considered in detail. Even though in this case there is no topological charge, for configurations symmetrical in κ dimensions, one can define a quasicharge — an element of the group G_{6κ}. The groups G_{3}, G_{4}, G_{5} may correspond to elementary particles (quasiparticles) of the photon, electron, and neutrino types, accordingly. The combinatorics emerging from this scheme is compared with the observation.
 Publication:

Soviet Physics Journal
 Pub Date:
 July 1990
 DOI:
 10.1007/BF00899102
 Bibcode:
 1990SvPhJ..33..562Z