Bell test in a classical pilot-wave system

• URL: http://arxiv.org/abs/2208.08940v1
• Date: Thu, 18 Aug 2022 16:33:02 GMT
• Title: Bell test in a classical pilot-wave system
• Authors: Konstantinos Papatryfonos, Louis Vervoort, Andr\'e Nachbin, Matthieu Labousse, John W M Bush
• Abstract summary: We present the results of a static Bell test performed with a numerical model of the hydrodynamic pilot-wave system. We demonstrate that, under certain conditions, the Bell inequality is violated owing to the wave-mediated coupling between the two subsystems.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Since its discovery in 2005, the hydrodynamic pilot-wave system has provided a concrete macroscopic realization of wave-particle duality and concomitant classical analogs of many quantum effects. The question naturally arises as to whether this hydrodynamic pilot-wave system might provide a platform for violating Bell's inequality, and so yield a classical analog of quantum entanglement. We here present the results of a static Bell test performed with a numerical model of the hydrodynamic pilot-wave system, specifically a coupled bipartite tunneling system. We demonstrate that, under certain conditions, the Bell inequality is violated owing to the wave-mediated coupling between the two subsystems. Our system represents a new platform for exploring whether Bell's Theorem, typically taken to be a no-go theorem for all local hidden variable theories, need be respected by the class of hidden variable theories based on non-Markovian pilot-wave dynamics.

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