Nonlinear electrodynamics without singularities (2401.15114v1)

Abstract: Nonlinear electrodynamics with two parameters is studied. It is shown that singularities of point-like electric charges are absent and the electromagnetic energy is finite. Corrections to Coulomb's law are found. The finite static electric field energy of a point-like charge is calculated. We demonstrate that the electron mass may have the electromagnetic nature. It was shown that principles of causality and unitarity take place.