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[Phys-l] twin paradox question



I have always wondered something about the twin paradox. If one twin is
moving away from the Earth at high speed time moves slower for him compared
to his brother. If the brother on Earth were able to see his brother on the
fast moving ship everything would appear in slow motion. Here is my
question. If the on the fast moving space ship were to look at the Earth is
it moving away from him at a very high speed too. So doesn't everything on
Earth appear to be moving in slow motion compared to time on the space ship?
So, why upon return is the traveling twin young and the twin that stayed on
Earth old? I don't get it.
Thanks,
Mike Barr

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