I do not believe that this response addresses all of my points. I accepted that if you assume the stars are close, that is roughly in the solar distance scale then we would expect to see a difference in star pattern with respect to our location on the Earth. Except I suspect we will have to modify a substational part of stellar physics (all the distances are wrong), cosmology (the unverse is smaller), nuclear phyics (we must be wrong about how stars burn), atomic physics (spectral lines must be wrong). If stars burn the way we think they do then bringing the universe into the near field would in short fry us. I havent even considerd the effect of more exotic phenomena such as bleck holes and neutron stars.
I was going to attempt calculations but I think I read that the sun orbits the Earth in this theory? Yet the other planets still orbit the sun? Many body gravitational systems are pretty unstable entitities, we're very lucky to be here, even in the heliocentric model i'd be very suprised if this model were stable. Maybe im wrong, well while I come to think about it im pretty sure if you put a heavy body in orbit around a massively lighter body things wont stay that way for long. Im really not that bothered but you can download freeware apps that solve these equations for the solar system someone should try putting the sun in oribt around the earth. Though if you take a 2-body system where one body is much heavier than the other, say the Earth and the Sun then the centre of mass will approximate to the larger body. So if the Earth doesnt go round the sun out goes classical mechanics and graivty (GR ahs absolutely no effect here as it limits to Newtonian mechanics in the low potential limit).
Anyway my main point was this: consider the Earth as the flat discoid seating area within a planetarium. The people around the outside are the inhabitants of the Southern Hemisphere, while those seated in the middle are the inhabitants of the Northern Hemisphere. Someone in the centre of the planetarium looks up and sees Polaris and the northern hemisphere constellations but as you go away form the centre people at constant radius should be seeing the same thing, but they wont. In the extreme case the people in Patagonia will see something totally different from the good citizens of Sydney.