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The part that bothers me about the going fast part, regardless of whether the earth's rotation actually changed is that having Superman going really fast would have the opposite effect. It wouldn't take him into the past it would take him into the future even faster.
But I think it is generally accepted that this super power makes absolutely no sense.
However, now that I think about it, I wonder if anybody has used that to calculate a minimal limit to Superman's strength. The g-forces involved in orbiting the Earth at relativistic speeds would be phenomenal and far worse than anything any super villain ever threw at him.
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