A mechanical analog of quantum bradyons and tachyons

Phys. Rev. E 102, 052206 (2020) We present a mechanical analog of a quantum wave-particle duality: a vibrating string threaded through a freely moving bead or `masslet'. For small string amplitudes, the particle movement is governed by a set of non-linear dynamical equations that couple the wav...

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Bibliographic Details
Main Authors:	Drezet, Aurelien, Jamet, Pierre, Bertschy, Donatien, Ralko, Arnaud, Poulain, Cedric
Format:	Journal Article
Language:	English
Published:	19-02-2020
Subjects:	Physics - Adaptation and Self-Organizing Systems Physics - Chaotic Dynamics Physics - Classical Physics Physics - Quantum Physics
Online Access:	Get full text
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Summary:	Phys. Rev. E 102, 052206 (2020) We present a mechanical analog of a quantum wave-particle duality: a vibrating string threaded through a freely moving bead or `masslet'. For small string amplitudes, the particle movement is governed by a set of non-linear dynamical equations that couple the wave field to the masslet dynamics. Under specific conditions, the particle achieves a regime of {\it transparency} in which the field and the particle's dynamics appear decoupled. In that special case, the particle conserves its momentum and a guiding wave obeying a Klein-Gordon equation, with real or imaginary mass, emerges. Similar to the double-solution theory of de Broglie, this guiding wave is locked in phase with a modulating group-wave co-moving with the particle. Interestingly, both subsonic and supersonic particles can fall into a quantum regime as with the slower-than-light bradyons and hypothetical, faster-than-light tachyons of particle physics.
DOI:	10.48550/arxiv.2002.08147