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arXiv · 2507.18826

Apparent energy-speed relationship poses no challenge to Bohmian mechanics

Matthew Dickau
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Abstract

A recent article claims to measure the speed of quantum particles in the classically forbidden regime where the energy of the particles is lower than the local potential, and further claims that the results of this experiment challenge Bohmian mechanics. But this interpretation of the experiment is incorrect (and dubious even in the context of ordinary quantum mechanics). A proper analysis of the system from a pilot-wave perspective shows that it predicts the same distribution of particle positions (and so the same experimental results) as ordinary quantum theory. The speed measured by the experiment in this regime is fictitious.

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Matthew Dickau. 2025-07-24. Apparent energy-speed relationship poses no challenge to Bohmian mechanics. https://arxiv.org/abs/2507.18826

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