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appeal to Ignorance https://www.sciencedirect.com/science/article/abs/pii/S0960077900000187tl;dr the dimensionality of quantum state vectors has nothing to do with physical space, much less multiverse theory unless explicit.
Other than that, I have nothing else to say. Good luck everyone!
https://arxiv.org/abs/hep-th/0001134
https://www.researchgate.net/publication/222691204_Is_Quantum_Spacetime_Infinite_Dimensional