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Azathoth123 comments on What are your contrarian views? - Less Wrong
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You need GR if you want to treat talk about the rotating reference frame of the disk. Otherwise SR is fine.
“claim[ing] that special relativity can't handle acceleration at all ... is like saying that Cartesian coordinates can't handle circles”
See http://math.ucr.edu/home/baez/physics/Relativity/SR/acceleration.html
But then again, the question whether the study of flat spacetime using non-inertial reference frames counts as SR depends on what you mean by SR. If you mean the limit of GR as G approaches 0, then it totally does.