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Originally Posted by maddog
What arguement ? How does my assertion that you are claiming a relationship between time and temperature when there is insufficient evidence as incorrect ? 
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I was referring specifically to your assertion that I quoted, in reference to space being a perfect vacuum at any moment prior to the big bang.
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Originally Posted by maddog
I was summarizing Einstein. Time can be expressed as a dimension as one of the components of spacetime (a scalar one at that). However, time as a measurement is tied to the observer (straight from Einstein's SR). Time does not exist without the observer. Read Elegant Universe, Brian Greene gives some good examples. Bringing in String Theory which at the moment has no indenpendent validation by physical evidence. Self consistent theories, yes. String Theory does not imply temperature and time have any correlation. So in essence, you have a hypothesis that such a correlation exists. Fine. So what now. What do you want to do with it. What I reacted to is you just leaving it at that.
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I see now what you meant, but I was referencing string theory for other spatial dimensions, not anything about temperature or time. Also, I mentioned previously a few experiments that could possibly show if the hypothesis in question is correct.
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Originally Posted by maddog
What speculation do see such a relationship look like ?
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If such a relationship were to exist, it would have to be highly exponential, like that of velocity and time.
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Originally Posted by maddog
I think you have something backwards. From SR, both observers would see the other as slowing down, were they able to see such. As in the twin paradox experiment by Einstein, once the two twins got back together both would agree the one who stayed appeared to age faster than the one who left.
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Right. If such a relationship between temperature and time were to exist and one were frozen to sufficient enough of a temperature and then brought back to normal temperature, one would agree with another observer that he seemed to age slower. I am not certain of a way to find out if the frozen observer would notice a decrease in activity of the other observer though.