I have done it mathematically, I've been working on Idea, I have A Idea too but not kind of complete yet( including specific heat capacity). But I have thought another thing that contradicts that for Thermodynamical body time must move faster( including coefficient of expansions).. You remember that Light clock in thought experiment of Special relativity. the idea is related with that but I am confused what here is the role of light to play in this because it can be any.. suppose We have two light clocks in frame A and Frame B both being stationary relative to each other. Now consider that frame B is Highly Thermodynamically energetic with respect to frame A. Since light have to travel and strike that surface and move back from started, consider that surface of light clock of both frames to be identical now. Now since frame B is more energetic, the surface must have expanded(expansion is symmetrical and it must be equal upside down with respect of original width) ( this width is in vertical direction of the distance covered by light in light clock) and have larger width( according/depends on coefficient of dimensional expansions) with respect to frame A. Now Since this have expanded downside also (total delta L/2) so now light have to travel less distance in light clock of fram B than of Frame A and now since speed of light is constant in both frames, the time in frame B should tick faster than of frame B. Now You can relate all this to any other thing just lihht clock has been done with all other things like any other process , but here the confusion and complexity is created that its relative but much more like different surfaces have different coefficient of expansions. And the other confusion created in this is that it should not work only for light, the same thing can be considered by moving ball clock moving with c. Or it may be C due to constant invariable behaviour of light and nature has done so. The Other thing I am doing is Connecting that expansion, less distance, with it special relativity because for moving body light speed do not adds up and constant in all frames so then it might work even more better (cause other thing's speed will be affected due to motion but not light).. Rest you also think and relate if this can be done.
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