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Papa Funkosophy
No it doesn't matter whether the space twin's acceleration is instantanious or spread out over the entire length of the trip, the problem can still be described using special relativity. I've done this one ad nauseum.RussDill said:
now the twin is under constant acceleration (a very large acceleration too). Now you are talking general relativity. Its clear that for the other twin to be 20, the earth must orbit the sun 20 times. This is no longer the twin paradox.
You are correct though, as the space twin slows down to turn around, the light from the earth catches up and the earth appears to spin much faster around the sun to the space twin.However, in the twin paradox, I might ask you this, right before the twin turns around, how many times will he see the earth orbit the sun? If he corrects for the time it took the light to reach him, how many times? Is it 5? is it 10? Is it another number alltogether?