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Article Dans Une Revue Physical Review E Année : 2020

Mechanical analog of quantum bradyons and tachyons

Résumé

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 nonlinear dynamical equations that couple the wave field to the masslet dynamics. Under specific conditions, the particle achieves a regime of 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 comoving with the particle. Interestingly, both subsonic and supersonic particles can fall into a quantum regime as is the case with the slower-than-light bradyons and hypothetical, faster-than-light tachyons of particle physics.
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hal-03434503 , version 1 (18-11-2021)

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Aurélien Drezet, Pierre Jamet, Donatien Bertschy, Arnaud Ralko, Cédric Poulain. Mechanical analog of quantum bradyons and tachyons. Physical Review E , 2020, 102 (5), pp.052206. ⟨10.1103/physreve.102.052206⟩. ⟨hal-03434503⟩

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