Sorry to be 'that' guy, but: No alternate universes(or dimensions, same thing really). From a creative stand point it's cool, from the GM standpoint I can see this being used for all kinds of stuff that would cause way too much head ache to control.
I really like the idea, and I think it would be really cool, but I'm trying to look at 'how would other people use the alternate dimension/universe angle' and I can see some ways people would use it to make some things that would be a head ache to deal with, and us really unable to just say no because we kind of have to be fair.
Yeah, alternate dimensions cause a WORLD of pain for open RPs.