I've run into an "I don't know" situation during a discussion with
students.
We were discussing the time dilation effects of relativity. A student
asked if "time slows down as you approach absolute zero temperature." I
responded that the molecular vibrations decrease and if you measure time
according to that, then yes.
My question for the list: does a particle's lifetime increase if its
temperature is reduced in a roughly analogous way to how its lifetime
increases (relative to a stationary observer) if it is moving near the
speed of light?
I realize that molecular vibrations will slow. But is that related to
the particle's lifetime?