McKenzie, Alan (2025) Many Discrete Worlds. [Preprint]

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Abstract

We present the case for a fixed, finite number of discrete, non-interacting, spatiotemporally finite, decohered spacetimes emerging from Everett’s Universal Wave Function, which we refer to as “Many Discrete Worlds” (MDW). No universes “split” in MDW. We argue that a Many Worlds Interpretation (MWI) branching structure that emerges after decoherence is equivalent to individual, weighted universes, each of which is divided into an immense number of discrete, identical copies, the number being proportional to the individual weighting. This ensures that repeated experiments within any such universe will demonstrate consistency with the Born rule. Each of these universes should be considered as complete, containing every decohered outcome over the entire extent of its spacetime, including every event/interaction occurring beyond any cosmological particle horizon for the entire duration of the given universe. We show that a countably infinite number of interactions needs an uncountably infinite number of universes, and show why measures such as the Lebesgue measure will fail in that case, with the result that the Born rule would not be demonstrable. This leads to the conclusion that the number of universes in the multiverse must be finite and, as a surprising corollary, that the universes themselves are finite, both in space and duration.

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Item Type:	Preprint
Creators:	Creators Email ORCID McKenzie, Alan alanphysics@hotmail.com 0000-0002-6563-0156
Keywords:	Many Worlds Interpretation; Many Discrete Worlds; particle horizon; Finite Universe; Finite Multiverse; Born Rule
Subjects:	Specific Sciences > Physics > Quantum Mechanics
Depositing User:	Dr Alan McKenzie
Date Deposited:	22 May 2025 12:41
Last Modified:	22 May 2025 12:41
Item ID:	25410
Subjects:	Specific Sciences > Physics > Quantum Mechanics
Date:	15 May 2025
URI:	https://philsci-archive.pitt.edu/id/eprint/25410

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  • Many Discrete Worlds. (deposited 27 May 2025 12:36)

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