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Originally Posted by Tormod
The main problem with this is that SR means that both will perceive that the same amount of time has passed, yet when they meet up it turns out that their timelines have been very different.
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From my understanding, the two observers will not perceive time at the same rate. Going back to the Twin Paradox, if one observer blasts off at 10% the velocity of light, by the time his watch reads .995 seconds, the stationary observer's watch will read 1 second. At 50% the velocity of light, his watch would read .876 seconds when the stationary observer's watch reads 1 second. At 99%, it is .141 seconds. Of course, at the velocity of light, the rocket-bound observer's watch will always read 0 seconds for any value of the stationary observer's watch. All of this data is based off the equation T1 = T0[√(1-(v²/c²))], which is the reciprocal of the Lorentz factor, where T1 is the measurement of time passed by the observer traveling at velocity v and T0 is the measurement of time passed by the stationary observer.
I forsee a similar trend if the relationship between time and temperature is true. Only at an arbitrarily cold temperature would the effects even be noticeable and they would become more and more apparent the lower the temperature, until finally at 0 kelvins time would essentially stop. Once again, I am not trying to say that the forces or circumstances are the same between the Twin Paradox and the relationship of time and temperature, but, rather, that the same effects can possibly be observed or at least interpreted as the same effects.