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The wave function as a true ensemble

Lookup NU author(s): Dr Jonte HanceORCiD

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This work is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).


Abstract

In quantum mechanics, the wave function predicts probabilities of possible measurement outcomes, but not which individual outcome is realized in each run of an experiment. This suggests that it describes an ensemble of states with different values of a hidden variable. Here, we analyse this idea with reference to currently known theorems and experiments. We argue that the ψ-ontic/epistemic distinction fails to properly identify ensemble interpretations and propose a more useful definition. We then show that all local ψ-ensemble interpretations which reproduce quantum mechanics violate statistical independence. Theories with this property are commonly referred to as superdeterministic or retrocausal. Finally, we explain how this interpretation helps make sense of some otherwise puzzling phenomena in quantum mechanics, such as the delayed choice experiment, the Elitzur–Vaidman bomb detector and the extended Wigner’s friends scenario.


Publication metadata

Author(s): Hance JR, Hossenfelder S

Publication type: Article

Publication status: Published

Journal: Proceedings of the Royal Society A

Year: 2022

Volume: 478

Issue: 2262

Print publication date: 29/06/2022

Online publication date: 22/06/2022

Acceptance date: 06/06/2022

Date deposited: 08/04/2024

ISSN (print): 1364-5021

ISSN (electronic): 1471-2946

Publisher: Royal Society Publishing

URL: https://doi.org/10.1098/rspa.2021.0705

DOI: 10.1098/rspa.2021.0705

Data Access Statement: This article has no additional data.


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Funding

Funder referenceFunder name
Deutsche Forschungsgemeinschaft (DFG, German Research Foundation)
EP/M013472/1
EP/R513386/1
EPSRC

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