Year: 2009
It should be noted that a few hundred years ago, the geocentric theory, though complicated, was describing motions of heavenly bodies in a more accurate way than the later heliocentric theory; however, the progress of science and, for instance, planning cosmic travels, would not be possible with the geocentric model.
The new, Euclidean model of reality allows us to answer the questions asked already in my other paper concerning SRT: is the slowing of time, in a frame of body in motion, actual slowing or it is only a result of mutual observation, and why registering of the shortening of the time requires the change of velocity of the observed body.
An additional argument for the necessity of more serious treatment of new models, alternative to the hitherto ones, would be the recently observed anomalies of motions of satellites which are impossible to explain with the help of the Relativity Theory.