Topological interpretation of Dirac equation and geometrization of physical interactions

O. A. Olkhov

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arXiv · hep-th/0211275

Topological interpretation of Dirac equation and geometrization of physical interactions

O. A. Olkhov

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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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O. A. Olkhov. 2002-11-28. Topological interpretation of Dirac equation and geometrization of physical interactions. https://arxiv.org/abs/hep-th/0211275

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