Back to Search
Start Over
Quantum statistical treatment of Verlinde's conjecture in a Tsallis framework
- Source :
- Physica A Vol 517 (2019) 0-7
- Publication Year :
- 2018
-
Abstract
- 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 [Physica A {\bf 505} (2018) 190], 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. \color{red} In the classical limit, we show that the emergent force has a Newtonian dependence with the distance.<br />Comment: 16 pages, no figures
- Subjects :
- Physics - General Physics
Subjects
Details
- Database :
- arXiv
- Journal :
- Physica A Vol 517 (2019) 0-7
- Publication Type :
- Report
- Accession number :
- edsarx.1812.07984
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/j.physa.2018.10.056