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Originally Posted by trth_skr
Please keep in mind that the acentrism of GR is a postulate, not a proven or demonstrated fact (though one could argue that observations supporting it do exist, as vice versa does exist).
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It's a bit more than a postulate. If Geocentrism is correct, then this means that there is a violation to relativity because there would be some preference for the geocentric frame. It's not a velocity preference, because we measure that to be the CMB. If it is any other preference, it must be due to a violation of GR. So if Geocentrism is ultimately to be shown correct, it must deny GR.
In general, when someone advocates for an idea that they have no way of positing a means to test the idea, the idea isn't generally accepted as being scientific. This is the current state of Geocentrism.