"Field-shell" of the self-interacting quantum electron

Details "Field-shell" of the self-interacting quantum electron "Field-shell" of the self-interacting quantum electron

2010-08-23

arxiv.org/abs/1008.3857v1

Physics

General Physics

14 pages

Scientific paper

Self-interacting dynamics of non-local Dirac's electron has been proposed. This dynamics was revealed by the projective representation of operators corresponding to spin/charge degrees of freedom. Energy-momentum field is described by the system of quasi-linear ``field-shell" PDE's following from the conservation law expressed by the affine parallel transport in $CP(3)$ \cite{Le1}. We discuss here solutions of these equations in the connection with the following problems: curvature of $CP(3)$ as a potential source of electromagnetic fields and the self-consistent problem of the electron mass.

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