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I don't really understand why, but this seems to be a common misunderstanding of the multiverse theory.
All it says is that every possible universe exists, so it's not at all required that everything you can think of exists, just everything permitted by physics. Possible is the keyword here, and you can still have an infinity of universes even if you restrict what is possible.
I'm no expert on the subject, but as I understand it there are generally two types of multiverse theory. The one where you have infinite universes all with the same physical laws, but every unique possibility under those laws exists in the multiverse. And the one where every possible variation on the laws of physics exist (generally talking about different coupling constants rather than entirely different laws). It's entirely reasonable that both types are one in the same.
In either case, it wouldn't really be consistent for there to be a universe where the multiverse doesn't exist, unless it is the only universe and there is no multiverse at all.
infinite universes all with the same physical laws, but every unique possibility
What makes different possibilities exist if the laws are the same? Is there a random function somewhere in the laws of physics?
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Different arrangements would do it, or you could think of it very loosely as the "if you made different decisions in each" kind of thing. Events/history is different, essentially.
On your idea of a "random function" yes, pretty much everything at a fundamental level appears to be probabilistic to some level. Quantum theory cannot in most cases predict the exact outcome of an experiment, just the probability of different outcomes.
You can combine the same atoms into different larger elements. It's like that. The same physical laws, but the combinations are infinite (or at least uncountable).
The other concept is that the laws are different, but not true infinite combinations within reach.
Or both.
What combines the atoms differently when the laws of combining atoms are the same?
What do you mean? It's chemistry...
The question is if the laws of physics are deterministic or not. If the rules are the same, then the result would be the same and all the universes in that case would be identifical.
The multi universe theory assumes randomness, undeterministic physics or that every universe has different initial properties.
Oh. You literally have no idea what these words mean. Got it.
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