Why no radiation occurs in the case of a uniformly accelerated charge

TL;DR

This paper demonstrates that a uniformly accelerated charge does not emit electromagnetic radiation in its instantaneous rest frame, challenging traditional formulas and aligning with the equivalence principle.

Contribution

It provides a theoretical explanation showing the absence of radiation from a uniformly accelerated charge, contradicting Larmor's formula and supporting the equivalence principle.

Findings

No radiation detected from uniformly accelerated charge

Electric field remains purely radial in the instantaneous rest frame

Contradicts Larmor's radiation formula

Abstract

We show that in the case of a uniformly accelerated charge, in its instantaneous rest frame, there is only a radial electric field as the acceleration fields strangely get cancelled at all distances by a transverse term of the velocity fields. Consequently, no electromagnetic radiation will be detected by any observer from a uniformly accelerated charge, even in the far-off zone. This is in contradiction with Larmor's formula, according to which a uniformly accelerated charge would radiate power at a constant rate, which is proportional to the square of the acceleration. On the other hand, the absence of radiation from such a charge is in concurrence with the strong principle of equivalence, where a uniformly accelerated charge is equivalent to a charge permanently stationary in a gravitational field, and such a completely time-static system could not be radiating power at all.