Charge Radiation Derived from the Universal Electrodynamic Force - Proof of the Cherenkov Effect

This work presents a charge radiation power equation that is obtained from the Universal Electrodynamic Force. The Universal Force, in turn, is derived from the fundamental empirical equations of electrodynamics.

The radiation from moving charges is derived from the Liénard-Wiechert potentials in most scientific works by introducing an arbitrary unit vector that points to the observer's frame of reference, which is at an arbitrary angle to the direction of motion.

The radiation power patterns obtained in this way are the patterns that an observer in a different frame would apparently see with respect to the charge, rather than the real charge radiation pattern that arises from the motion.

The Universal Electrodynamic Force, which is based on the relative motion of two charges, is entirely relational, and whatever we measure from this motion will have the same value in all frames of reference.

It is a real relativistic theory because it only depends on relative coordinates instead of relative reference frames.