Relativistic treatment of Verlinde's emergent force in Tsallis' statistics
Following Chakrabarti, et al. [R. Chakrabarti, R. Chandrashekar and S. S. Naina Mohammed, Physica A 389, 1571 (2010)], 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...
| Autores: | , , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2019 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/118340 |
| Acceso en línea: | http://hdl.handle.net/11336/118340 |
| Access Level: | acceso abierto |
| Palabra clave: | TSALLIS ENTROPIC FORCE RELATIVISTIC https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
| Sumario: | Following Chakrabarti, et al. [R. Chakrabarti, R. Chandrashekar and S. S. Naina Mohammed, Physica A 389, 1571 (2010)], 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−2 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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