Good question. My guess is none at all. But there are people who like to work these things out... and who knows what predictive power they may turn out to have, or what measurable effect.
There are geeky freaks in this world who aren't very useful with their feet on the ground. Or even in the...
This is standard inflation theory... The 'inflation' of different bubbles happens after the Big Bang, and so are usually considered within our Universe, although it's outside the region that we can ever hope to have any contact with, at least by any law of physics that we know anything about...
There are lots of theories along the lines of what you're suggesting.
The nicest one is probably that of Lee Smolin, regarding the evolution of universes, which is called "Fecund Universes Theory" on Wikipedia (I don't know if he gave it that name)...
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