Phonons mimicking doubly special relativity kinematics

Fuente: arXiv
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Autore principale: Marino, Francesco
Natura: Preprint
Pubblicazione: 2025
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_version_ 1866915279852797952
author Marino, Francesco
author_facet Marino, Francesco
contents Collective excitations (phonons) in barotropic, irrotational, inviscid fluids exhibit an effective Lorentz invariance, where the sound speed plays the role of the invariant speed of light in special relativity. By carefully selecting the interaction potentials, we explicitly construct two hydrodynamic models in which phonons obey doubly special relativistic kinematics, with the analogue Planck scale emerging from non-Newtonian behaviour at high energies. Specifically, we demonstrate that elastic storage leads to an approximate realization of Amelino-Camelia's scenario, while the Magueijo-Smolin model naturally emerges in the presence of elastic restoring forces.
format Preprint
id arxiv_https___arxiv_org_abs_2505_02026
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Phonons mimicking doubly special relativity kinematics
Marino, Francesco
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Collective excitations (phonons) in barotropic, irrotational, inviscid fluids exhibit an effective Lorentz invariance, where the sound speed plays the role of the invariant speed of light in special relativity. By carefully selecting the interaction potentials, we explicitly construct two hydrodynamic models in which phonons obey doubly special relativistic kinematics, with the analogue Planck scale emerging from non-Newtonian behaviour at high energies. Specifically, we demonstrate that elastic storage leads to an approximate realization of Amelino-Camelia's scenario, while the Magueijo-Smolin model naturally emerges in the presence of elastic restoring forces.
title Phonons mimicking doubly special relativity kinematics
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2505.02026