PeterDonis said:
How do you know? Why don't we let the OP decide what he's asking, and whether the posts in this thread are useful to him? We've each expressed our opinions, but it's up to him.
My question was: In an infinite universe, could different inflationary processes have occurred in different regions, each giving rise to its own local universe?
In the Wikipedia article on the Multiverse,
Level II effectively answers part of the question, although its title is
Level II: Universes with different physical constants, and it discusses eternal inflation (which is somewhat beyond what I had in mind).
In any case, it seems clear that the answer is yes: in an infinite universe, different inflationary processes could have occurred in different regions.
If you allow me, within my limited knowledge, I would go a bit further and say that in an infinite universe, even before any inflation began, the universe already had an infinite volume. Therefore, it seems likely that there were more than just a single small homogeneous region. The Wikipedia article on cosmic inflation (theory) says:
“The inflation solution starts with a tiny universe in thermal equilibrium, then expands…”
Of course, it may also be that the universe is not infinite but slightly curved and finite, in which case this discussion would largely disappear.