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May 27, 2015 at 19:41 vote accept Quirk
May 24, 2015 at 20:14 comment added ApproximatelyTrue The way I understand your question, the bodies A/B play the role of the twins in the canonical formulation of the twin paradox. Since we cannot unambiguously say whether A is at rest and B is moving at 0.6c or whether B is at rest and A is moving at 0.6c, we expect time dilation to be symmetric. This is true of measurements by clocks at rest in A/B's frames; however, we are considering clocks at rest in C/D's frames, and as explained above the speeds of C/D in A's frame are totally different in B's frame and so we shouldn't expect symmetrical results.
May 24, 2015 at 19:56 comment added Quirk Thank you for the answer. The title is because this is a modification of en.wikipedia.org/wiki/Twin_paradox. Could you expand with a little more detail as to how the asymmetry manifests?
May 24, 2015 at 12:47 history answered ApproximatelyTrue CC BY-SA 3.0