Topological interpretation of Dirac equation and geometrization of physical interactions

Details Topological interpretation of Dirac equation and geometrization of physical interactions Topological interpretation of Dirac equation and geometrization of physical interactions

2002-11-28

arxiv.org/abs/hep-th/0211275v1

Physics

High Energy Physics

High Energy Physics - Theory

LaTex, 10 pages, Proc.XXV Workshop on Fundamental Problems of High Energy Physics and Field Theory. Geometrical and topologica

Scientific paper

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.

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