Re: heat and time dilation?

I must admit that I don't know who KMT is.  It is true that the
molecules move faster as an object gets hotter.  However, for any solid
object made of ordinary molecules, the speed of the molecules is not
fast enough to have a measureable time dilation effect, unless you
make an extremely careful measurement.  The effect is proportional to
(v/c)^2, where v is the speed of the atoms, and c is the speed of light.
For the atoms of a solid, this number is less than 10^(-12).  By using
atomic clocks, it is sometimes possible to measure effects this small.

How would we try to see this effect?  The usual way of measuring the
rate that an object is moving through time is to measure the lifetime
for some decay process (like a radioactive decay).  I can't think of any
examples where it has been possible to measure the lifetime of such a
process to an accuracy of one part in 10^(12).

The way that the time dilation effect was measured directly for ordinary
objects was by comparing two atomic clocks, one which was kept
stationary and another which was flown in an airplane.  You might think
of comparing two atomic clocks which are kept at different temperatures.
However, if you warm up the atoms inside an atomic clock, it will not
work accurately.

To see a big effect we want to look at a REALLY hot object, such as a
neutron star.  For such a neutron star, however, there is also a big
gravitational time dilation effect.  So does not seem possible to
measure the thermal effect on time dilation here either.  Nevertheless,
in principle it exists.