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arXiv · 2507.20101

Tunneling photons pose no challenge to Bohmian mechanics

Yun-Fei Wang·Xiao-Yu Wang·Hui Wang
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Abstract

Very recently, Sharoglazova et al. performed an experiment measuring the energy-velocity relationship and Bohmian velocity in coupled waveguides. Their data show a discrepancy between the semi-classical `speed' $v=\sqrt{2|\Delta|/m}$ and Bohmian velocity $v_s$ for $\Delta<-\hbar J_0$, leading them to claim a challenge to Bohmian mechanics. Here, we definitively demonstrate this experiment poses no challenge to Bohmian mechanics. First, $v$ and $v_S$ represent fundamentally distinct physical quantities -- comparing them is physically unjustified and cannot adjudicate between Copenhagen and Bohmian interpretations. Second, we rigorously show that both interpretations predict identical photon tunneling dynamics in coupled waveguides.

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Yun-Fei Wang, Xiao-Yu Wang, Hui Wang. 2025-07-27. Tunneling photons pose no challenge to Bohmian mechanics. https://arxiv.org/abs/2507.20101

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