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comment Is the CMB rest frame special? where does it come from?
Err, that's a bit misleading. The bit above makes it seem that, in the rest frame, the photons are stationary. But that's not true, since they are not all moving in the same direction. The key is that in the natural rest frame, the CMB will be isotropic -- it'll look the same in all directions. But once you move relative to that frame, there's a preferred direction.