Two Paradoxes of the Existence of electric Charge

TL;DR

This paper explores fundamental paradoxes related to the energy origin and flow of static electric charges and electromagnetic fields, questioning how charges sustain energy emission and where the emitted energy dissipates.

Contribution

It presents a detailed calculation of energy emission from static charges and highlights unresolved paradoxes about energy conservation in electrostatics.

Findings

Calculated energy emission from static charges is non-zero.

Identified paradoxes regarding energy source and dissipation in electrostatics.

Raises fundamental questions about energy conservation in electromagnetic phenomena.

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?