Challenge to Bohmian mechanics by Sharoglazova et al, Nature, 2025

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The paper by Sharoglazova et al. published in Nature (2025) presents a challenge to Bohmian mechanics by examining the energy-speed relationship of quantum particles. The authors propose that their wave functions, which differ from standard Schrödinger equations, lead to a distinct Bohmian velocity. This divergence raises questions about the validity of Bohmian mechanics in light of quantum mechanics predictions. A response to this paper has been submitted to arXiv, providing further analysis of the implications of these findings.

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Energy–speed relationship of quantum particles challenges Bohmian mechanics.
Sharoglazova V, Puplauskis M, Mattschas C, Toebes C, Klaers J.
Nature 643, 67–72 (2025)
https://doi.org/10.1038/s41586-025-09099-4

Is this paper correct? I am skeptical because my understanding was that Bohmian mechanics gives essentially the same predictions as quantum mechanics.
 
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Yesterday I have submitted a "Comment" (in Nature it is called Matters Arising) to Nature related to this paper. Today I have also submitted it to arXiv, it should appear on arXiv tomorrow or on Monday. The catch is that their equations (2)-(3) that describe their wave functions are not standard Schrödinger equations, because they describe a coupling between wave functions. Consequently, as I explain in my paper, the Bohmian velocity associated with such wave functions differs from the usual one. You will see the details when my paper appears on arXiv.
 
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Morbert said:
Hossenfelder has put out a video on the paper
Which should not be used as a reference in this discussion, since we already have papers on both sides of the argument. Accordingly, this post has been deleted.
 
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PeterDonis said:
Which should not be used as a reference in this discussion, since we already have papers on both sides of the argument. Accordingly, this post has been deleted.
It was not used as a reference in this discussion. It was an aside, showing the issue had reached popularizers. Sabine's videos are regularly and consistently posted on these forums, not as an authority on the matter.
 
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Morbert said:
It was not used as a reference in this discussion. It was an aside, showing the issue had reached popularizers.
While that's not uninteresting, it's still off topic, since it's a pop science source.

Morbert said:
Sabine's videos are regularly and consistently posted on these forums
That's true. But...

Morbert said:
not as an authority on the matter.
...that's not. Most people post her videos as a basis for discussion, to ask questions about whether what she's saying in the video is justified by the actual science. (And quite often the answer is no, or at least that there are serious reservations.) You've agreed you're not doing that here, which means the video is off topic.
 
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atyy said:
Energy–speed relationship of quantum particles challenges Bohmian mechanics.
Sharoglazova V, Puplauskis M, Mattschas C, Toebes C, Klaers J.
Nature 643, 67–72 (2025)
https://doi.org/10.1038/s41586-025-09099-4

Is this paper correct? I am skeptical because my understanding was that Bohmian mechanics gives essentially the same predictions as quantum mechanics.
https://philsci-archive.pitt.edu/26230/
 
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