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I understand the explanation that "solves" the Twin Paradox -- Twin B in the rocketship flying close to light speed undergoes acceleration and deceleration on his outbound trip away from earth and on his inbound trip, and that accounts for his slower aging.

But.... let's do a thought experiment where we're in a future time where "Star Trek"-style teleportation has been invented. Persons A & B are on Earth, and as a rocket zooms by, B is beamed into it, hence undergoes no acceleration (except perhaps some momentary action involved in the beaming?). Each person has a camera capable of tracking the other. According to Einstein's logic of reference frames, neither person can tell if he or the other is the one traveling or the one stationary. Now, for the kicker, there is no return trip; the rocket's speed remains constant.

So, why wouldn't each person see the other person's clock slowing down? How could it be independently determined which person was undergoing time dilation?

Thanks,

Dave