LBrandt
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Janus said:Again, this is only true for someone at rest with respect to Earth and Planet X.
This will not be true as far as the Traveler is concerned. Remember, the speed of light is a constant relative to any inertial frame. Thus according for the traveler, the two signals travel at c relative to him (not Earth and Planet X). Thus Earth is fleeing away from its signal and Planet X is rushing towards its signal. Planet X gets its signal first, and its clock starts running from the Agreed upon starting value first. By the time that Earth has gotten its signal, quite a bit of time has already past on Planet X.
That doesn't make sense to me at all. Let's forget a traveler for the moment. I can visualize a clock on Earth and a clock on Planet X being set in sync simply by having simultaneous signals sent from a THIRD planet that is equidistant from both Earth and Planet X. Forgetting travelers, forgetting relativity, forgetting everything, I can do that! Surely, you will allow that scenario.