This paper continues to explore the solutions to a nonlinear electromagnetics model previously introduced. Previous papers have treated primarily the possible solutions for static time independent solutions. This work begins to explore the addition of time dependent solutions. These additional solutions are obtained by adding solutions arising from a vector potential function. This leads to the concept of “static” and “dynamic” solution sets. The concept of charge density is found to arise purely from the static solution set. The concept of a fundamental time parameter by which time can be normalized and related to Planck’s constant. Finally vector potential solutions are suggested which can describe localized energy photon-like structures.

This work explores the concept of a nonlinear extersion to the standard Maxwell equations for describing electrical and magnetic fields.  The nonlinear model has solutions of concentrated electromagnetic energy which would be characterized as particles in the model universe.  Some key findings are 1) negative and positive charge particles exist with the positive charge particle having a large energy compared to the negative charge particle 2) magnetic charge particles exist and are required to have a finite energy for the positive charge particle.  This publication is an initial study of the model equations with a general summary of the results.

This work explores a nonlinear extension of the conventional Maxwell equations inwhich the concept of charge density is expressed in terms of the fields.  Solutions are found to exist which consist of localized concentrations of electromagnetic energy such as exist in real particles.  Some additional features of the model for interacting particles are discussed.