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This paper presents a rigorous theoretical argument suggesting that the Many Worlds interpretation of quantum mechanics faces fundamental structural obstructions when attempting to derive the Born rule without axiomatic assumptions. By demonstrating failures in deductive, inductive, and other approaches within this specific framework, the work contributes directly to foundational debates regarding the validity of multiverse theories rather than addressing applied AI or quantum engineering challenges.
Against Many Worlds
arXiv:2607.17086v1 Announce Type: new Abstract: Any viable interpretation of quantum theory needs to account for the Born rule, from which the theory gets its probabilistic empirical predictions. In this paper, we give an overview of possible approaches to this problem in the context of the Many Worlds interpretation. We argue that, for structural reasons, none of them can possibly succeed. More precisely, we argue that the Many Worlds interpretation must obtain the Born rule by proceeding either axiomatically, deductively, or inductively, and that all three of these approaches run into general, fundamental obstructions.
Abstract:Any viable interpretation of quantum theory needs to account for the Born rule, from which the theory gets its probabilistic empirical predictions. In this paper, we give an overview of possible approaches to this problem in the context of the Many Worlds interpretation. We argue that, for structural reasons, none of them can possibly succeed. More precisely, we argue that the Many Worlds interpretation must obtain the Born rule by proceeding either axiomatically, deductively, or inductively, and that all three of these approaches run into general, fundamental obstructions.
Quantum Physics (quant-ph); History and Philosophy of Physics (physics.hist-ph)
arXiv:2607.17086 [quant-ph]
(or arXiv:2607.17086v1 [quant-ph] for this version)
https://doi.org/10.48550/arXiv.2607.17086 Focus to learn more arXiv-issued DOI via DataCite (pending registration)
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