Topological quasi-charges 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 n-frames 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 Gm= πm(SOm), m=n-1. The most interesting case of m=6, G6=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 quasi-charge — an element of the group G6-κ. The groups G3, G4, G5 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