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Originally Posted by MacM
That is I contend that the correct test is to insure a common standard "t". In this case the "Am " clock is used for all data.
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Then you are only considering what happens in A's frame, and indeed in that frame B and C really are dilated. Do the same from B's or C's frame and you'll find that actually it was the other two who's clocks were really dilated.
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My bottom line contention is that Relativity of Simultaneity is not a bonafide time dilation affect. It is a measurement illusion affect due to relative motion and does not affect the accumulated time on clocks when subsequently compared in a common frame.
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If both B and C turned around and returned to A would you agree that their clocks would have less elapsed time than A's?
Would you agree that both B's and C's clocks would agree if they performed symmetrical flight paths to return?
Would you agree that the amount by which B's and C's clocks would lag behind A's once they'd returned would be dependant on how long they travelled out and back inertially?