OK, I was thinking of the big bang and how it relates to an infinite universe.
If the universe is infinite is mass and there was a big bang, then at the big bang there was an infinite amount of matter in an infinitely small point.
If space expanded at a finite speed then it would still be a finite size, but an infinite amount of mass in a finite space would have infinite density.
as this is not the case, it means that space must have expanded infinitely fast, the universe would have gone from a point to infinite in size instantly.
This doesn't seem to make much sense to me!
For example, what about the CMB? Would it have to have infinite wavelength?
Any thoughts?
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