Synchronized clocks with respect to rest frame
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Mar3-12, 08:20 AM
So, far We get only one reason for desynchronization is "length contraction".
The above image shows that train has length of l1 at start X, train accelerated to Y point, at that time length becomes l2. From now Y to Z train maintains its constant velocity, so now length remain same as l2. llxy, lrxy, llyz and lryz is distance traveled by front and end point of train.
We can easily see that ratio between llxy and lrxy is more than llyz and lryz.
So, as train maintains its constant velocity for longer time the desynchronization created by length contraction decreases.
I am very sorry about this. Sometimes mind works like crazy. Discussion is going on here about O and I am talking about "with respect to R" in this paragraph.