Entropy as a measure of time in relativity

[Galteeth]

Ok, so given two hypothetically identical systems (like two spaceships with identical mass, onboard matter, etc.) am I correct in thinking that if the two to accelerate to different speeds and fall back to the same speed, the one that was traveling faster will have experienced a lesser degree of entropy then the one traveling slower?

 

[bcrowell]

Basically the answer to your question is that yes, in the twin paradox, all measures of time are affected equally. The only caveat is that the increase of entropy can't really be used as a ticking clock, e.g., entropy can stay constant depending on the conditions. But if both twins carry out identical thermodynamic experiments, e.g., watching ice cubes melt in a glass of water, then the process will certainly be time-dilated in the same way as any other physical process.

 

[Galteeth]

thanks

 

[atyy]

How does the scenario play out if the temperature of the Rindler horizon is considered for the accelerated observer?