Do you understand that a coordinate system explains only motion, and doesn't explain the forces involved in the motion?
Why did you remove the statements by astronomers showing that there is no physical or observable difference between a geokinetic and geocentric model?
Don't you understand that this goes way beyond coordinate mathematical systems and that they are making statements about physical reality?
"...Thus we may return to Ptolemy's point of view of a 'motionless earth'...One has to show that the transformed metric can be regarded as produced according to Einstein's field equations, by distant rotating masses. This has been done by Thirring. He calculated a field due to a rotating, hollow, thick-walled sphere and proved that inside the cavity it behaved as though there were centrifugal and other inertial forces usually attributed to absolute space. Thus from Einstein's point of view, Ptolemy and Copernicus are equally right."
Born, Max. "Einstein's Theory of Relativity",Dover Publications,1962, pgs 344 & 345:
"People need to be aware that there is a range of models that could explain the observations,” Ellis argues. “For instance, I can construct you a spherically symmetrical universe with Earth at its center, and you cannot disprove it based on observations.” Ellis has published a paper on this. “You can only exclude it on philosophical grounds. In my view there is absolutely nothing wrong in that. What I want to bring into the open is the fact that we are using philosophical criteria in choosing our models. A lot of cosmology tries to hide that.”
Ellis, George, in Scientific American, "Thinking Globally, Acting Universally", October 1995