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For some reason my thoughts turned to the Earth's rotation, and I tried, in my head, to relate linear motion to rotation, ending up in utter confusion.

I imagined a reverse rotation, of the same magnitude as its present rotation but in the opposite direction, being applied to the Earth. It would then, presumably, have a rotation of zero. But with respect to what? If we speak of zero velocity, it's zero with reference to something else. But what could zero rotation mean? Are there an infinity of states of zero rotation, just as there must be an infinite number of "zero" velocities? I can visualise one situation, but not the other, and I find that it all seems to conjure up the notion of absolute rotation. It leaves me completely baffled. Can someone explain?