Spatial cut-offs, Fermion statistics, and Verlinde’s conjecture

A. Plastino and M.C. Rocca

Physica A: Statistical Mechanics and its Applications, 2019, vol. 518, issue C, 265-269

Abstract: Verlinde conjectured eight years ago that gravitation might be an emergent entropic force. This rather surprising assertion was proved in Plastino and Rocca (2018) within a purely classical statistical context, and in 10.13140/RG.2.2.34454.24640 for the case of bosons’ statistics. In the present work, we appeal to a quantum scenario involving fermions’ statistics. We consider also the classical limit of quantum (statistical) mechanics (QM). We encounter a lower bound to the distance r between the two interacting masses, i.e., an r cut-off. This is a new effect that exhibits some resemblance with the idea of space discretization proposed by recent gravitation theories.

Keywords: Gravitation; Fermions; Entropic force; Emergent force; Verlinde’s conjecture (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437118315073
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:518:y:2019:i:c:p:265-269

DOI: 10.1016/j.physa.2018.12.002

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().