mental_avenger":305sdixt said:
SpeedFreek":305sdixt said:
Would the rate at which your hair grows depend on the interaction of atoms? Would the rate at which you age depend on the interaction of atoms? Would the duration of any event in the whole universe depend on the interaction of atoms?
If the answer is yes, then we can use the interaction of atoms to measure time.
Not necessarily. The atoms in a Bose-Einstein Condensate are deliberately slowed down, but time continues to proceed unchanged. We could only use the interactions of atoms to measure time is we could know for certain exactly how those atoms are affected by different conditions.
But we
do know for certain how atoms are affected by different conditions - we have measured it by flying
atomic clocks around the world in both directions and then comparing them to a clock on the ground that they were originally synchronised with. We have also tested it using satellites in orbit and both work as relativity predicts
time should work.
mental_avenger":305sdixt said:
SpeedFreek":305sdixt said:
Is a clock at the top of a mountain accelerating more or less than a clock at sea level? Does a clock at the top of a mountain have a relative velocity to a clock at the base of that mountain? What are your thoughts on gravitational time dilation? Does the clock at the top of the mountain tick "faster" or "slower" than a clock at sea level, and why?
I’m not sure that a test for the comparison of a clock on the top of a mountain with one at sea level can be devised that is able to accurately predict or compensate for all of the variables. That is especially true if we don’t know exactly how any of the variables or combination of variables are going to affect the working of the clocks.
Relativity tells us that time dilation is not just due to relative speed, it is also due to a difference in relative gravitational potential. Two clocks at different distances from the centre of the Earth will show time dilation relative to each other. The clock that is higher above sea level will show time running at a faster rate than a clock at sea level. A clock down a mineshaft ticks even slower,
relatively. I stress the term relatively, as for each clock, a second is the duration of 9,192,631,770 periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the cesium 133 atom.
A second always lasts a second, in any valid frame of reference. Time dilation shows that different frames of reference will measure different elapsed times for the same event, but the difference only becomes apparent if they can meaningfully compare their results. Nobody experiences time speeding up or slowing down, they only find that they have experienced different amounts of elapsed time, depending on what they were doing, relative to the other.
The energy that runs around the microchips on a GPS satellite seems to cycle at a different rate up there when compared to the rate it cycles down here. We had to set the chips to run slow by the amount predicted by relativity, for us down here to measure that clock up there as running at the same rate as our own.
We have also measured the decay rates of muons from cosmic rays to be time dilated as predicted by relativity. In fact, every chance we get to measure something that might be time-dilated by the amount predicted by relativity (which happens a lot in particle accelerators), we find it
is! The logical assumption is that we are indeed seeing that time is actually relative, rather than absolute.
If we ever manage to send someone away on a long relativistic journey and they return having aged noticeably less than the people that stayed behind, that will be the absolute clincher for non-absolute time, by any definition of the term. Is that what takes (not that we will get that in our lifetimes), or would that
still not be enough proof?