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Question about hilbert space

If a verse that contains Hilbert space( Infinite-dimensional one ) and MWI. Can that verse achieve high hyperverse?
yes to infinite dimensional hilbert space. MWI doesn't grant anything on its own but it is something that can be used to support ratings.
 
Dimensions in quantum mechanics iirc are not like physical dimensions so no
They can be, and cannot. If one can prove that Hilbert space is physical space (like it's holding multiverse or stuff inside) then it's that.
 
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