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Previously we conjectured that extremely high Electromagnetic (EM) fields ina vacuum generate a gravitational field that causes Maxwell's equations to nolonger be linear. This results in a "4-force" in the field configuration space,also called "four-current density". Based on the 4-current density, wepostulate that the electric charge is the result of a high EM field.Considering the electrostatic potential with central symmetry and with theassumption that it cannot exceed the Planck potential, we show that theassociated electric charge is confined inside a sphere with non-zero radius,centered at the origin. We propose to represent this elementary charge e, thusreplacing the point electron of the standard model with a "bump" of the EMfield. According to this model, the gravitational field created by EM isrepulsive up to the classical radius of the electron, then attractive beyond.This property provides a model for dark energy, which is believed to cause theaccelerated expansion of the universe and whose nature is unknown today. Wethus replace the cosmological constant of the standard model {\Lambda}CDM by a"field of EM bumps".

Electromagnetic field bumps: Electro-gravitational models of the classical electron and dark energy