Let's go down the rabbit hole...
Okay, first I should state, I'm not and was never a cosmologist - did a lot of 'bog standard' Quantum mechanics instead - so I'm sure I'm missing loads of details
However, after getting slightly baffled at the BBC article (sometimes things can be oversimplified too much!) I pulled up the paper to take a look.
Hawkings-Hertog are looking at a form of the Eternal Inflation multiverse (here is an article I thought was quite nice in explaining this idea:
Eternal Inflation and Colliding Universes)
So basically it is a 'multiverse' that is constantly inflating, peppered throughout with bubble universes - small patches of energy and matter. These smaller universes will continue to expand, but because they have formed can no longer keep up with the inflationary 'speed' of the mother multiverse. (It gives me the image of currants in a bun, if the bun was infinite and forever expanding
) We are, of course, one of these bubble universes in this model, and if the multiverse is eternally inflating, then there will be an infinite number of universes produced.
Originally when they had first proposed this theory in the 1980s, there was no way of telling if all these bubble universes were similar and in fact it was proposed that you would get a random set of conditions in each. This leads to the problem of that it is all just random chance that we find ourselves in a universe well suited to us. Which
might be possible, but is a rather unsatisfactory explanation of where we came from!
So in this paper they have modelled a series of 'toy' universes (using gauge-gravity duality to model its Quantum wave function - this is where the connection with String Theory comes in) at the brink of exiting inflation and have calculated that it appears that there is a high probability that only a small range of bubble universes, measured via their boundaries, can come into existence at this point. Other weirder or radically different ones are essentially just not very likely at all.
They then state: "we conjecture that eternal inflation produces universes that are relatively regular on the largest scales."
So I suppose they are not saying that all the universe do have the same laws as ours, but instead conjecture that they should all, because of their formation, be reasonably similar. And I suppose therefore, by corollary, the laws should be similar.
However,
Note that:
- The Eternal Inflation model has it's own problems, it is not necessarily how our universe was formed*.
- They used simplified models of universes and more realistic model may not give the same results.
- And given what I said about QM interpretations above, the Eternal Inflation multiverse is not the same thing as the Many-body multiverse - that is a different beast! Also I believe the multiverse that might be built using M-theory (string theory) using 10-11 spatial dimensions is totally different again.
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* In fact until we can experimentally find another universe how can we actually be sure that
any multiverse actually exists?. To be fair, there are tentative suggestions that there might be imprints of another universe in the microwave background radiation, but really, it's not obvious that's the case.