string querry said:
Although I interpreted the question differently, probably inncorectly, and probably don't fully understand the answer either, I was under the impression that recent research indicates that the universe is not only expanding but also accelerating in its expansion,
Whether the universe is accelerating or not in its expansion is irrelevant. Only over time would you notice the difference.
A difference has been noticed in the apparent magnitudes of distant Type Ia supernovae over the time since they went supernova.
They are fainter than originally predicted, which means they are further away (for a set z) than originally predicted, which means the universe has expanded faster than originally predicted.
Its expansion must therefore have accelerated, or, possibly, there is some other expalnation such as early SN are intrinsically fainter than later ones, or the faintness is due to a space-curvature effect rather than an expansion effect.
thus I am curious how you think this would affect realative time from, for example, ten thousand years ago to the present (though I realize the original question was talking about far more distant time periods). Does not an atomic clock approaching the speed of light, relative to one on earth, measure time as slower. Doesn't this mean that entire galaxies accelerating away from each other are going to 'travel through time' (for lack of a better term) slower than those same galaxies ten thousand years ago?
Think about what you have said. How would a clock "measure time as slower", or distant galaxies "'travel through time' slower"?
At what rate does time pass, at what rate does anything "travel through time"?
As I said in my earlier post, the only way that such statements make any sense at all, except at the tautological rate of "one second per second", is when one clock (say, in this case, a distant clock) is observed and compared with another one (a laboratory clock). Such time dilation is
observed from afar. The dilation is an artifact of the curvature of the intervening space-time (i.e. the expansion of space).
Garth