Geometrisation of electromagnetic interaction

Details Geometrisation of electromagnetic interaction Geometrisation of electromagnetic interaction

2002-01-04

arxiv.org/abs/hep-th/0201020v2

Zh.Fiz.Khim. 21 (2002) 49

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, Latex

Scientific paper

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.

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