Two Paradoxes of the Existence of electric Charge

Abstract

Electromagnetic waves propagate with the speed of light. The reason is that electrostatic fields as well as magnetic fields propagate with this speed. Both types of objects, waves as well as static fields contain and transport energy. Consequently it is possible to calculate how much energy and how much energy density a source of a field emits into the space - and the calculation shows that this energy is not zero, for elementary particles as well as for macroscopic spheres. The calculation is presented in this article. This leads to a principle problem not being answered up to now: From where does the static charge obtain the energy, which it emits permantently? But the paradox has a second aspect: If we follow the trace of a specified element of volume containing an electric field on its way through the space, we will notice that its contents of field energy decreases during time. But where does this effluent energy go?