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Is rotational motion relative to space?

Assume a universe with the same physics as ours, but containing only one rotating (charge-free) body - let's say the size of the Earth. Would the rotation cause a bulge at the equator of the rotating body?

  • $\begingroup$ +1. ..I was about to comment with side question how will gyroscopes react to the turns then got a brain freeze $\endgroup$
    – user299
    Commented Jun 3, 2012 at 21:52
  • $\begingroup$ Why not? In our universe, what's the answer and why? $\endgroup$ Commented Jun 3, 2012 at 22:32
  • $\begingroup$ I really feel that knowing this part will make me a better human and citizen. May be it is more relevant to some 18th century study, but it will be so nice to see the understandable answer. $\endgroup$
    – user299
    Commented Jun 3, 2012 at 22:40
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    $\begingroup$ Einstein may give Mach some credit for molding his thinking, but Einsteins theory's put Mach's ideas firmly in the trash bin. Einstein tells us that physics is local, so Mach can take a flying leap as his arguments revolved around a purely non-local argument. $\endgroup$ Commented Jun 3, 2012 at 22:43
  • $\begingroup$ What do you mean by rotating? ...rotating with respect to what? $\endgroup$ Commented Jun 3, 2012 at 22:55