I SR Time Dilation in Rigid Structure Clocks

[Nugatory]

It is not useful to study a perpetual motion machine, but it is useful to study how various properties change at high speeds, with elasticity at high speeds being one of the properties that would play a role in the tuning fork clock

It is no more useful. If I want to understand the behavior of a tuning fork moving at relativistic speeds relative to me, I'll calculate the frequency in a frame in which the fork is at rest and then Lorentz transform that result to a frame in which I am at rest. There are only two reasons why someone might insist on doing the calculation the hard way (working with "elasticity at high speeds") instead and they are the same two reasons that one might insist on the detailed analysis of the PMM:
1) As a pedagogical exercise, to demonstrate that if we work through all the details we will get the result that the laws of physics told us we had to get.
2) Because we don't accept the validity of the law we're applying (relativity in one case, energy conservation in the other) and are demanding more proof.

 

[PeterDonis]

Thread closed for moderators to evaluate whether further discussion is going to be fruitful since the OP question has already been answered.

Edit: at this point the mentors have decided to keep the thread closed