Topological interpretation of Dirac equation and geometrization of physical interactions
Abstract
Earlier we have shown that interacting electron-positron and electromagnetic fields can be considered as a certain microscopic distortion of pseudo-Euclidean properties of the Minkovsky 4-space-time. The known Dirac and Maxwell equations prove to be group-theoretical relations describing this distortion (nonmetrized closed 4-manifold). Here we apply the above geometrical approach to obtain equations for a neutrino interacting with its weak field. These equations contain some new terms and demonstrate geometrical mechanisms of gauge-invariance and P-T violation. Equations are also proposed for gravitational field and its microscopic quantum sources.
Keywords
Cite
@article{arxiv.hep-th/0211275,
title = {Topological interpretation of Dirac equation and geometrization of physical interactions},
author = {O. A. Olkhov},
journal= {arXiv preprint arXiv:hep-th/0211275},
year = {2007}
}
Comments
LaTex, 10 pages, Proc.XXV Workshop on Fundamental Problems of High Energy Physics and Field Theory. Geometrical and topological ideas in modern physics, Protvino, Russia, 25 - 28 June 2002 (to be published}