Macroscopic oil droplets mimicking quantum behavior: How far can we push an analogy?

Abstract

We describe here a series of experimental analogies between fluid mechanics and quantum mechanics recently discovered by a team of physicists. These analogies arise in droplet systems guided by a surface (or pilot) wave. We argue that these experimental facts put ancient theoretical work by Madelung on the analogy between fluid and quantum mechanics into new light. After re-deriving Madelung’s result starting from two basic fluid-mechanical equations (the Navier-Stokes equation and the continuity equation), we discuss the relation with the de Broglie-Bohm theory. This allows to make a direct link with the droplet experiments. It is argued that the fluid-mechanical interpretation of quantum mechanics, if it can be extended to the general N-particle case, would have an advantage over the Bohm interpretation: it could rid Bohm’s theory of its strongly non-local character.

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Louis Vervoort
Université du Québec à Montreal

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References found in this work

The philosophy of quantum mechanics.Max Jammer - 1974 - New York,: Wiley. Edited by Max Jammer.
Bell’s Theorem: Two Neglected Solutions.Louis Vervoort - 2013 - Foundations of Physics 43 (6):769-791.

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