English

Geometrisation of electromagnetic interaction

High Energy Physics - Theory 2007-05-23 v2

Abstract

A new concept for the geometrisation of electromagnetic interaction is proposed. Instead of the concept "extended field--point sources", interacting Maxwell's and Dirac's fields are considered as a unified closed noneuclidean and nonriemannean space--time 4-manifold. This manifold can be considered as geometrical realisation of the "dressed electron" idea. Within this approach, the Dirac equation proves to be a relation that accounts for topological and metric characteristics of this manifold. Dirac's spinors serve as basis vectors of its fundamental group representation, while the electromagnetic field components prove to be components of a curvature tensor of the manifold covering space. Energy, momentum components, mass, charge, spin and particle--antiparticle states appear to be geometrical characteristics of the above manifold.

Keywords

Cite

@article{arxiv.hep-th/0201020,
  title  = {Geometrisation of electromagnetic interaction},
  author = {O. A. Olkhov},
  journal= {arXiv preprint arXiv:hep-th/0201020},
  year   = {2007}
}

Comments

10 pages, Latex

R2 v1 2026-07-22T15:08:29.157Z