Artículo
Quantum statistical treatment of Verlinde's conjecture in a Tsallis framework
Fecha de publicación:
01/03/2019
Editorial:
Elsevier Science
Revista:
Physica A: Statistical Mechanics and its Applications
ISSN:
0378-4371
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
Verlinde has recently conjectured, via a Beckenstein-like thought experiment, that gravitation, instead of being an elementary force, is an emergent entropic one. This rather surprising conjecture was actually proved in Plastino and Rocca (2018), in a strictly classical statistical mechanics’ environment. In this Communication, we work in a quantum statistical context to consider the conjecture in the case of bosons/fermions, in a Tsallis’ framework. We prove that Tsallis’ entropy is the operating potential energy in this quantum treatment, something that does not happen in the case of Boltzmann–Gibbs’ entropy. In the classical limit, we show that the emergent force has a Newtonian dependence with the distance.
Palabras clave:
BOSONS
,
EMERGENT FORCE
,
ENTROPIC FORCE
,
FERMIONS
,
GRAVITATION
,
VERLIDE'S CONJECTURE
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Identificadores
Colecciones
Articulos(IFLP)
Articulos de INST.DE FISICA LA PLATA
Articulos de INST.DE FISICA LA PLATA
Citación
Plastino, Ángel Luis; Rocca, Mario Carlos; Quantum statistical treatment of Verlinde's conjecture in a Tsallis framework; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 517; 1-3-2019; 341-348
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