OK, I read the references you provided and I have to tell you that this is laughable. None of these references point of to the Minkowski space-time homogeneity and Schwarzshield’s metric tensor solutions to Einstein’s gravity equations. If geocentrism was correct, you would have to re-introduce the reciprocal value of the (almost discarded, although not quite) cosmological constant, which would break down our understanding of quantum mechanics so far.
Now, there are more interesting facets about certain things and some of them are described even in popular books.
Believe me, the chain Tycho de Brahe, Kepler, Newton, Einstein is quite unbreakable at this point. All the data collected by Tycho would have to be discarded and Kepler’s own mathematical treatments of them would have to be discarded and Newton’s elementary gravity theory would not be applicable (but it is, on a limited scale)
So, lets not bring geocentrism back to the discussion, I think that this is not really an issue anymore. I am amazed that someone would even bring this up.
Tomas (the mathematician)