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Why the Many-Worlds Interpretation of quantum mechanics needs more than Hilbert space structure

Hemmo, Meir and Shenker, Orly (2020) Why the Many-Worlds Interpretation of quantum mechanics needs more than Hilbert space structure. Scientific Challenges to Common Sense Philosophy. pp. 61-70. ISSN 9781138479982

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Abstract

McQueen and Vaidman argue that the Many Worlds Interpretation (MWI) of quantum mechanics provides local causal explanations of the outcomes of experiments in our experience that is due to the total effect of all the worlds together. We show that although the explanation is local in one world, it requires a causal influence that travels across different worlds. We further argue that in the MWI the local nature of our experience is not derivable from the Hilbert space structure, but has to be added to it as an independent postulate. This is due to what we call the factorisation-symmetry and basis-symmetry of Hilbert space.


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Item Type: Published Article or Volume
Creators:
CreatorsEmailORCID
Hemmo, Meirmeir@research.haifa.ac.il
Shenker, Orlyorly.shenker@mail.huji.ac.il
Keywords: basis-symmetry of Hilbert space; branching structure; causation; causation across worlds; decoherence; experience; locality; locality of interactions; many-worlds; factorisation-symmetry of Hilbert space; preferred basis problem; quantum state; Schrödinger’s equation; stability (of memories); survival advantage
Subjects: Specific Sciences > Physics > Quantum Mechanics
Depositing User: Dr Orly Shenker
Date Deposited: 11 Sep 2020 14:16
Last Modified: 11 Sep 2020 14:16
Item ID: 18072
Journal or Publication Title: Scientific Challenges to Common Sense Philosophy
Publisher: Routledge
Official URL: https://www.routledge.com/Scientific-Challenges-to...
Subjects: Specific Sciences > Physics > Quantum Mechanics
Date: September 2020
Page Range: pp. 61-70
ISSN: 9781138479982
URI: http://philsci-archive.pitt.edu/id/eprint/18072

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