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Originally Posted by Eroica
Surely this violates the Principle of Equivalence? The crew of such a spacecraft should feel precisely the same effects as the crew of a motionless spacecraft sitting in a homogeneous gravitational field of 1g - viz a constant g. No?
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When they start, that would seem to be true. The clue to the eventual difference is that they can never get to c. That's not a paradox, just a result.
Otherwise, as the good Kaptian said, it'd only take a year at an acceleration of g to get up to c.