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Topological interpretation of Dirac equation and geometrization of physical interactions

2002/11/28 by O. A. Olkhov, Olkhov, O. A.
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0211275

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}

arxiv created 2002/11/28 · arxiv updated 2009/11/30

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.

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