Mathematics can represent perfection, but nothing in the physical universe is perfectly even and homogenous. The radii of protons not perfect spheres. The 'circular' (I use this word very loosely in this context!) orbits of electrons are far from circular. The orbits of planets far from perfect ellipses.
The gravitational curves of space itself are necessarily imperfect, even if perfect in the idealised mathematics of the special relativity calculations. The gravitation resolution, either in spatial or in informational terms, must have a limit, and this would necessarily lead to a deviation from the ideal curve of mathematical space to that tracked by real planets and light-rays.
By the same token, I expect it would be impossible if the expansion of the universe was homogenous. It seems likely that the universe would expand at different rates at different locations. The key question is how great this variation is, not whether there is a variation. One could think of this conclusion as non-homogenous dark energy. Such non-homogeneity is necessary in reality because informational resolution always has limits; there can be no infinities in reality, again the primary questions are how great, and where and why the variation is.
It would be interesting if these non-homogeneities, the ultimate resolutions of gravitational and dark energy information, are related.
What is perhaps most extraordinary about the universe is that the infinite perfection of mathematics, the Platonic ideal so to speak, appears to be there, known, striven for, while never being attained. These rules must be present in some form. A 'knowledge' of infinity must exist if not its actual value.
Our brains, and our computers, are finite but can consider and process infinity and zero, and the universe must operate on similar principles. We can consider infinity, or compute infinity, but, this is key, not forever. A similar principle must operate for zero. Perhaps zero can only be certain for either no time, or infinite time. This accords with our experience; the logic of mathematics operates out of time.
