A charged particle moving at a constant speed does not radiate electromagnetic (EM) waves despite changes in the electric field as it approaches or recedes from an observer. The energy associated with the fields remains localized around the charge, and the Poynting vector indicates no energy flow away from it. While the changing fields can be expressed as a sum of sine waves through Fourier transform, they interfere destructively at distances from the source, preventing radiation. Even with constant proper acceleration, a particle does not radiate in its own rest frame. Therefore, the conditions for producing EM waves are not met in this scenario.