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According to theory of relativity there is no absolute standard of rest. Now, if Alice and Bob are two observers floating in space, so that Alice thinks that she is at rest and Bob is moving away from her at a speed comparable to that of light and Bob thinks that he is at rest and Alice is moving away from him at a speed comparable to that of light, whose time will be dilated?
by Crowsnest on January 29th, 2011
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Comments
What will happen if they compare their clocks. Whoes clock will be running faster? If both clocks show the same time - where is the dilation?
by Amritasya_Putra on January 29th, 2011
As seen from A, B's clock is slower
As seen from B, A's clock is slower
Think this way:
Send a white light beam from A to B
Send another light beam from B to A
B would see the beam coming from A shifted to the red side.
A would see the beam coming from B shifted to the red side, exactly as B did.
B will deduce that A is moving away, while A would deduce that is A the one moving away. As the shifting is the same for both of them, time would be affected in the same way.
For being able to compare both clocks, one of them would have to send a signal to the other. The signal would be affected by time dilation as the light bean was, in such a way, that A and B would deduce that it is the other's time the one dilating.
by Crowsnest on January 29th, 2011