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Not a singularity, just much more dense. If current indications are correct, the universe has always been infinite. On current theory, how fast is a galaxy at say 50 billion light years thought to be moving, relative to us. George ? I  ask because clearly on Hubble's (velocity) Model, it should be moving a lot faster than light eh! ! I assume you mean a galaxy that is separated by that distance over a surface of equal cosmological age. There is an excellent explanation of this subject at:   http://www.astro.ucla.edu/~wright/cosmo_02.htm#MD Ned says on that page: The time and distance used in the Hubble law are not the same as the x and t used in special relativity, and this often leads to confusion. Your question is a perfect example. A little further down the page, he says In these variables, velocities greater than c are certainly possible, and since the open Universes are spatially infinite, they are actually required. But there is no contradiction with the special relativistic principle that _object_s do not travel faster than the speed of light . That is followed by a graph that answers your question far better than I ever could. HTH George