Don't blame me for that! That is what the Relativity Theory requires.Come on! In the frame where the train is initially at rest, the clocks do not start out in the same position but end up in the same position. One of them must have moved and they were initially at rest.
I was positing that all re-locations on the train were after the speed-up but prior to circular motion. The twin analogy assumes synchronization after the speed-up........perhaps I misread the OP intent.But that would lead to his clock being out of sync with the front-of-train clock.
I agree the situation has similarities to the twin paradox, but there are key differences too.
And relativity theory says that, given your statement that the train clocks are initially synchronized in the rest frame of the train while it is on the straight track, when the front and rear clocks meet after the front clock has gone around the circle once, the two clocks do not show the same reading. So if you are accepting what relativity theory requires, then you have to accept that.Don't blame me for that! That is what the Relativity Theory requires