Since Newton, we know that motion is relative, and that there is nothing like absolute rest. But if you would accelerate towards one direction, the CBR in front of you gets blue-shifted and radiation from behind you gets red-shifted. So, can the absolute rest be defined as that motion for which the frequency of CBR is the same from all directions?
I understand that two co-moving objects separated by non-zero distance would perceive different reference frames to be at the absolute rest because of inflation of the universe, so it is not universal. Can it be defined at least for individual points of space-time?
I think the answer is yes, but I wouldn't call it "absolute rest". It is merely a privileged notion of rest. More precisely, there is a family of observers for which the universe is homogeneous and isotropic (on large scales). It is convenient to describe the evolution of the universe with respect to these observers. In this sense, the frame associated with such observers is privileged, but it is absolutely not necessary to say that these observers are at absolute rest. Physical laws hold in any reference frame, but some frames are more convenient than the others.
If patterns of change are observed then the object is not likely to be at rest. The question can be what effect does CBR have on us in terms of evolution.
The absolute rest is absolutely necessary for the Special Theory of Relativity to be valid. I know it sounds like a nonsense but my recent study indicates this. And this is more than just a talk.
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