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Quantum statistical treatment of Verlinde's conjecture in a Tsallis framework

Plastino, Ángel Luis et al · Elsevier Science · 2019

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Author / responsible party
Plastino, Ángel Luis et al
Publisher
Elsevier Science
Year
2019
ISSN
0378-4371
ISSN
0378-4371
Language
English

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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. Fil: Plastino, Ángel Luis. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina. Escuela Politécnica Federal de Lausana; Suiza Fil: Rocca, Mario Carlos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina

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APA 7

Plastino, Á. L. E. A. (2019). Quantum statistical treatment of Verlinde's conjecture in a Tsallis framework. http://hdl.handle.net/11336/140697

MLA

Plastino, Ángel Luis et al. "Quantum statistical treatment of Verlinde's conjecture in a Tsallis framework." 2019. http://hdl.handle.net/11336/140697.

Chicago

Plastino, Ángel Luis et al. 2019. "Quantum statistical treatment of Verlinde's conjecture in a Tsallis framework.". http://hdl.handle.net/11336/140697.

Harvard

Plastino, Á. L. E. A. 2019, Quantum statistical treatment of Verlinde's conjecture in a Tsallis framework, Elsevier Science, available at: http://hdl.handle.net/11336/140697 [Accessed 7 Aug. 2026].

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Title
Quantum statistical treatment of Verlinde's conjecture in a Tsallis framework
Author / contributors
Plastino, Ángel Luis et al
Publisher
Elsevier Science
Publication year
2019
ISSN
0378-4371
ISSN
0378-4371
Language
English

Subjects

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BOSONS; EMERGENT FORCE; ENTROPIC FORCE; FERMIONS; GRAVITATION; VERLIDE'S CONJECTURE; https://purl.org/becyt/ford/1.3; https://purl.org/becyt/ford/1
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