I think there is only one universe. But the link of causality is constrained for certain observers who cannot see the othe paths in which the universe is unfolding. But it is not true always. For example, the double slit experiment in quantum interference.
I suspect that there is good reason to believe that the universe is computable, and not hypercomputational. Continuous time means that your universe computer is literally infinitely more expensive. The multiverse is a memory leak...
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The total memory demands of a multiverse can be bounded by the number of possible permutations of all bits in the universe, but when you think it through, it becomes unnecessary.
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OTOH, I like the mad dog interpretation of the multiverse, i.e. it is not the universe that goes into superposition and collapses into a state, but the observer.
End of conversation
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