Tunnelling photons pose no challenge to Bohmian machanics

• URL: http://arxiv.org/abs/2507.20101v1
• Date: Sun, 27 Jul 2025 01:50:13 GMT
• Title: Tunnelling photons pose no challenge to Bohmian machanics
• Authors: Yun-Fei Wang, Xiao-Yu Wang, Hui Wang, Chao-Yang Lu,
• Abstract summary: Recently, Sharoglazova et al. performed an experiment measuring the energy-velocity relationship and Bohmian velocity in coupled waveguides.<n>Here, we demonstrate this experiment poses no challenge to Bohmian mechanics.
• Score: 10.618067065229939
• License: http://creativecommons.org/licenses/by/4.0/
• 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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