Single-particle Fraunhofer diffraction in a classical pilot-wave model

Walking oil droplets offer a qualitative, classical analog of single-particle diffraction. Making this analog quantitative has proven challenging, leading recent authors to conjecture that no classical pilot-wave model could exhibit Fraunhofer diffraction. We revisit the problem with the recent, Lagrangian pilot-wave model of Darrow and Bush [], and find agreement with both single- and double-slit Fraunhofer patterns. We identify two distinct dynamical features that enable our model to capture Fraunhofer diffraction and distinguish it from previous classical pilot-wave models.

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Publication Details

Journal
Physical Review Research
Published
2025-09-26
DOI
https://doi.org/10.1103/gn48-nxwk
Citations
1
Primary Topic
Quantum Mechanics and Applications
Type
article
Field-Weighted Citation Impact
1.25
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article

Single-particle Fraunhofer diffraction in a classical pilot-wave model

John W. M. Bush, David Darrow
1 citations
Physical Review Research
Quantum Mechanics and Applications
1.25
article

Single-particle Fraunhofer diffraction in a classical pilot-wave model

John W. M. Bush, David Darrow
article en
1 citations

Abstract

Walking oil droplets offer a qualitative, classical analog of single-particle diffraction. Making this analog quantitative has proven challenging, leading recent authors to conjecture that no classical pilot-wave model could exhibit Fraunhofer diffraction. We revisit the problem with the recent, Lagrangian pilot-wave model of Darrow and Bush [], and find agreement with both single- and double-slit Fraunhofer patterns. We identify two distinct dynamical features that enable our model to capture Fraunhofer diffraction and distinguish it from previous classical pilot-wave models.

Physical Review ResearchVol. 7(3)
Massachusetts Institute of Technology (US)
Openalex Percentile: Top 17%
Quantum Mechanics and Applications
1.25
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