A relativistic field theory of the electron

A set of nonlinear partial differential equations covariant in a non-Euclidean space is reduced to the Dirac equation for the electron and the Maxwell-Lorentz equations of electromagnetic fields under certain assumptions. In the course of reduction, opportunities are presented for understanding the relationship between the Dirac equation and the Maxwell-Lorentz equations, and also for visualizing conditions which limit feasible applications of those known equations in physics. (author)