The measured speed in the evanescent regime reflects the spatial decay of the wavefunction, not particle motion

Abstract

The recent paper by Sharoglazova et al. reports an energy-dependent parameter extracted from the spatial distribution of photons in a coupled-waveguide experiment. The authors interpret as the speed of quantum particles, even in the classically forbidden regime, and claim that its finite value contradicts the Bohmian mechanics prediction of zero particle velocity. This challenge arises from a fundamental misunderstanding of the operational meaning of v within the Bohmian ontological framework. We demonstrate that v quantifies the spatial gradient of the wavefunctions amplitude, a geometric property of the guiding field, not the kinematical velocity of point-like particles. The experiment therefore does not challenge but rather illustrates the clean ontological separation between the wave and particle aspects inherent to Bohmian mechanics.

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