Proposal to demonstrate the non-locality of Bohmian mechanics with entangled photons

TL;DR

This paper proposes an experimental setup using entangled photons and weak measurements to demonstrate the non-local influences in Bohmian mechanics, highlighting superluminal effects at the individual particle level.

Contribution

It introduces a novel experimental approach to visualize superluminal influences in Bohmian mechanics using a double double-slit setup with phase-dependent velocity measurements.

Findings

Bohmian velocities depend on distant phase shifts

Weak measurements can reveal non-local velocity fields

Potential for observing superluminal influences in entangled photons

Abstract

Bohmian mechanics reproduces all statistical predictions of quantum mechanics, which ensures that entanglement cannot be used for superluminal signaling. However, individual Bohmian particles can experience superluminal influences. We propose to illustrate this point using a double double-slit setup with path-entangled photons. The Bohmian velocity field for one of the photons can be measured using a recently demonstrated weak-measurement technique. The found velocities strongly depend on the value of a phase shift that is applied to the other photon, potentially at spacelike separation.