The Relativistic Foundations of Synchrotron Radiation

TL;DR

This paper clarifies that synchrotron radiation properties are explained by Doppler shift and Lorentz transformations, not time dilation, correcting common misconceptions and emphasizing the relativistic principles involved.

Contribution

It provides a clear relativistic explanation of synchrotron radiation, emphasizing the roles of Doppler shift and Lorentz transformations over time dilation.

Findings

Synchrotron radiation explained by Doppler shift and Lorentz transformations.

Time dilation is not a contributing factor in synchrotron radiation.

The correct relativistic mechanisms have been known since the inception of SR.

Abstract

Special Relativity (SR) determines the properties of synchrotron radiation, but the corresponding mechanisms are frequently misunderstood. Time dilation is often invoked among the causes, whereas its role would violate the principles of SR. We show that the correct explanation of the synchrotron radiation properties is provided by a combination of the Doppler shift, not dependent on time dilation effects, contrary to a common belief, and of the Lorentz transformation into the particle reference frame of the electromagnetic field of the emission-inducing device, also with no contribution from time dilation. We close by reminding the reader that much if not all of our argument has been available since the inception of SR, a research discipline of its own standing.