Relativistic treatment of Verlinde’s emergent force in Tsallis’ statistics

Following Chakrabarti,Chandrasekhar, and Naina [Physica A 389 (2010) 1571], we attempt a classical relativistic treatment of Verlinde’s emergent entropic force conjecture by appealing to a relativistic Hamiltonian in the context of Tsalli’s statistics. The ensuing partition function becomes the clas...

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Detalles Bibliográficos
Autores principales: Calderón, Lucila, Martín, María Teresa, Plastino, Ángel Luis, Rocca, Mario Carlos, Vampa, Victoria Cristina
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2019
Materias:
Física
Ciencias Exactas
Tsallis’ relativistic distributions
Renyi’s relativistic distributions
classical partition function
entropic force
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/127227
https://www.worldscientific.com/doi/abs/10.1142/S0217732319500755
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
Descripción
Sumario:Following Chakrabarti,Chandrasekhar, and Naina [Physica A 389 (2010) 1571], we attempt a classical relativistic treatment of Verlinde’s emergent entropic force conjecture by appealing to a relativistic Hamiltonian in the context of Tsalli’s statistics. The ensuing partition function becomes the classical one for small velocities. We show that Tsallis’ relativistic (classical) free particle distribution at temperature T can generate Newton’s gravitational force’s r<sup>−2</sup> distance’s dependence. If we want to repeat the concomitant argument by appealing to Renyi’s distribution, the attempt fails and one needs to modify the conjecture.

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