Let's say I'm standing on the equator, and that there is no other reference point in the sky.
If the planet is rotating, then I measure my weight to be lower than if it is not.
But given that I have no reference frames to "prove" than I am rotating, why can't I just claim that my weight should be the same since I'm standing still and the universe is rotating around me?
(After all, this kind of argument does work for translation... so what's different about rotation?)