Finally making sense of the double-slit experiment

Yakir Aharonov*, Eliahu Cohen, Fabrizio Colombo, Tomer Landsberger, Irene Sabadini, Daniele C. Struppa, Jeff Tollaksen

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Feynman stated that the double-slit experiment "⋯ has in it the heart of quantum mechanics. In reality, it contains the only mystery" and that "nobody can give you a deeper explanation of this phenomenon than I have given; that is, a description of it" [Feynman R, Leighton R, Sands M (1965) The Feynman Lectures on Physics]. We rise to the challenge with an alternative to the wave function-centered interpretations: instead of a quantum wave passing through both slits, we have a localized particle with nonlocal interactions with the other slit. Key to this explanation is dynamical nonlocality, which naturally appears in the Heisenberg picture as nonlocal equations of motion. This insight led us to develop an approach to quantum mechanics which relies on preand postselection, weak measurements, deterministic, and modular variables. We consider those properties of a single particle that are deterministic to be primal. The Heisenberg picture allows us to specify the most complete enumeration of such deterministic properties in contrast to the Schrödinger wave function, which remains an ensemble property. We exercise this approach by analyzing a version of the double-slit experiment augmented with postselection, showing that only it and not the wave function approach can be accommodated within a time-symmetric interpretation, where interference appears even when the particle is localized. Although the Heisenberg and Schrödinger pictures are equivalent formulations, nevertheless, the framework presented here has led to insights, intuitions, and experiments that were missed from the old perspective.

Original languageEnglish
Pages (from-to)6480-6485
Number of pages6
JournalProceedings of the National Academy of Sciences of the United States of America
Volume114
Issue number25
DOIs
StatePublished - 20 Jun 2017

Funding

FundersFunder number
DIP
Fetzer Franklin Fund of the John E. Fetzer Memorial Trust
German-Israeli Project Cooperation
Perimeter Institute for Theoretical Physics
Chapman University
Innovation, Science and Economic Development Canada
Government of Canada
European Research Council
Israel Science Foundation1311/14
Ontario Ministry of Research and Innovation

    Keywords

    • Double slit experiment
    • Heisenberg picture
    • Modular momentum
    • Two-state vector formalism

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