I am not a physicist or a cosmologist, just a science layman who has been doing a lot of reading and thinking. I have been reading a lot in popular literature that if Omega =1, then the universe must also be infinite. Do you think this is just an over-generalization intended for the general public? I can see expanding space as becoming infinite in volume when it reaches infinite time, but unless it was infinite to begin with, how could it have become infinite within a finite amount of time? Furthermore, since Omega can equal 1 with a finite amount of mass, it seems that the universe could have begun with a finite amount of mass. If were the case, how could it be flat, infinite, homogenous, and isotropic without an average density near zero? The only way I can see the universe as currently being flat, infinite, homogenous, and isotropic while having infinite mass is if it was infinite in mass and space before expansion began. But that idea gives me some headaches, too. Wouldn't infinite mass require a quantum fluctuation of infinite magnitude, something highly improbable? An what about Mach's principle? If the universe had infinite mass, wouldn't all matter have infinite inertia? Lastly, couldn't the volume of finite flat space be expanding in the direction of time, so that it is currently finite, but is infinite at t=∞? Isn't that the more reasonable idea? if that is what has been meant by an infinite universe all along, wouldn't it be a good idea to clarify this to the general public? I am very interested in hearing your thoughts on this. If I have missed something, please forgive me and fill in the gaps in my knowledge.