  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.
