You can stop time for a living thing through freezing but time still continues all around it in an objective sense.
Yes, it is a category error to confuse the rates at which periodic physical processes occur with "time itself." But SR has played a huge part in perpetrating and perpetuating this serious error.
The Minkowskian version of SR effectively says that time slows down not clocks (too bad that modern technological advances have disproved this).
But the opposite is true. Clocks slow down, not time. It can't possibly be both and still have modern theories of relative motion (whether SR or a competing preferred frame theory) explain anything. It's either one or the other, no matter which theoretical approach one favors.
Put another way, the fact that empirical observations have repeatedly shown that clocks do in fact physically change ticking rates with speed kills SR. On the other hand, this fact is perfectly consistent with the type of preferred frame theory used by the GPS, and with virtually every other branch of physics, including GR, and physical science in general.
Edited by Moronium, 08 March 2019 - 02:52 PM.