How to Describe Photons as (3+1)-Solitons?

This paper aims to present the pure field part of the newly developed nonlinear Extended Electrodynamics [1]-[3] in non-relativistic terms, i.e. in terms of the electric and magnetic vector fields (E,B), and to give explicitly those strictly localized (3+1)-soliton solutions of the new equations which have the integral properties of photons. The set of solutions to the new equations contains all solutions to Maxwell’s equations as a subclass. The new solutions, called nonlinear, are identified through the non-zero values of two appropriately defined vector fields ~ F and ~ M. The important characteristics scale factor, amplitude function, and phase function of a nonlinear solution are defined in a coordinate free way and effectively used. The intrinsic angular momentum (spin) is also defined. A limited superposition principle (interference of nonlinear solutions), yielding the well known classical coherence conditions, is found to exist.