Well, as always I operate from a position of profound ignorance, but it seems to me that if the sun rotates around the earth (as we see it), that would imply the earth is motionless, or at least not spinning as we otherwise suspect. If that is the case, why is there measurable differences in east-west bound flight durations after having account for wind, etc.?
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<Millenial Snowfkake Utopia>
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