Nice Quote (A Thousand Pardons):
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"The struggle, so violent in the early days of science, between the views of Ptolemy and Copernicus would then be quite meaningless. Either CS could be used with equal justification. The two sentences, 'the sun is at rest and the earth moves,' or 'the sun moves and the earth is at rest,' would simply mean two different conventions concerning two different CS."
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There are many others from other disrtinguished scientists, but I particularly like Born's because he also offers Thirring in the same quote to give some physicality to it.
I am amazed at how many people try and disprove geocentricity using abberation, parallax, and other observations, as though these would not be the same in a geocentric system. They basically have to be the same. A coordinate transform does not change relative observations (nor does it prove the matter, of course).
In another part of your link, you say:
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It is quite possible that general relativity is wrong and there is a preferred reference frame. Personally, I doubt that it is the geocentric frame, but I am reserving judgement until we find evidence of a preferred frame.
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What is your view of those who say the CMB is a preferred reference frame?