Bohmian mechanics remains unchallenged by tunnelling experiment

arising from: V. Sharoglazova et al. Nature https://doi.org/10.1038/s41586-025-09099-4 (2025).

In a recent work1, Sharoglazova et al. reported an experiment aimed at determining how fast quantum particles traverse a classically forbidden region, where motion is prohibited in classical physics but allowed by quantum tunnelling. They argue that the inferred energy–speed relation challenges Bohmian mechanics, which augments quantum theory with a law for particle velocities and trajectories. We show that this claim relies on idealizations that are inappropriate for the experiment’s dynamical regime and that, if taken seriously, would pose comparable problems for standard quantum mechanics. Once the time-dependent and dissipative features of the experiment are taken into account, the results are fully consistent with Bohmian mechanics.

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Fig. 1: Numerical simulations of the Bohmian trajectories.
The alternative text for this image may have been generated using AI.

Data availability

No datasets were generated beyond the numerical values underlying the plot, which are available from the corresponding author upon request.

Code availability

The numerical code used to generate the plot in this work is available from the corresponding author upon request.

References

  1. Sharoglazova, V., Puplauskis, M., Mattschas, C., Toebes, C. & Klaers, J. Energy–speed relationship of quantum particles challenges Bohmian mechanics. Nature 643, 67–72 (2025).

    Article  ADS  CAS  PubMed  PubMed Central  Google Scholar 

  2. Dürr, D., Goldstein, S. & Zanghì, N. Quantum equilibrium and the origin of absolute uncertainty. J. Stat. Phys. 67, 843–907 (1992).

    Article  ADS  MathSciNet  Google Scholar 

  3. Dürr, D., Goldstein, S. & Zanghì, N. Quantum equilibrium and the role of operators as observables in quantum theory. J. Stat. Phys. 116, 959–1055 (2004).

    Article  ADS  MathSciNet  Google Scholar 

  4. Tumulka, R. On Bohmian mechanics, particle creation, and relativistic space-time: happy 100th birthday, David Bohm! Entropy 20, 462 (2018).

    Article  ADS  PubMed  PubMed Central  Google Scholar 

  5. Sanz, A. S. & Miret-Artés, S. A Trajectory Description of Quantum Processes. I. Fundamentals: A Bohmian Perspective Lecture Notes in Physics Vol. 850 (Springer, 2012).

  6. Longhi, S. Quantum-optical analogies using photonic structures. Laser Photon. Rev. 3, 243–261 (2009).

    Article  ADS  CAS  Google Scholar 

  7. Nikolic, H. Overcoming a challenge for Bohmian mechanics. Preprint at http://arxiv.org/abs/2507.08049 (2025).

  8. Wang, Y.-F., Wang, X.-Y., Wang, H. & Lu, C.-Y. Tunnelling photons pose no challenge to Bohmian mechanics. Preprint at https://arxiv.org/abs/2507.20101 (2025).

  9. Leavens, C. R. Transmission, reflection and dwell times within Bohm’s causal interpretation of quantum mechanics. Solid State Commun. 74, 923–928 (1990).

    Article  ADS  Google Scholar 

  10. Norsen, T. The pilot-wave perspective on quantum scattering and tunneling. Am. J. Phys. 81, 258–266 (2013).

    Article  ADS  Google Scholar 

  11. Drezet, A. & Genet, C. Imaging surface plasmons: from leaky waves to far-field radiation. Phys. Rev. Lett. 110, 213901 (2013).

    Article  ADS  PubMed  Google Scholar 

  12. Drezet, A. et al. Leakage radiation microscopy of surface plasmon polaritons. Mater. Sci. Eng. B 149, 220–229 (2008).

    Article  CAS 

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