Verlinde’s emergent gravity in an n-dimensional, non-additive Tsallis’ scenario

D.J. Zamora, M.C. Rocca, A. Plastino and G.L. Ferri

Physica A: Statistical Mechanics and its Applications, 2018, vol. 506, issue C, 1050-1059

Abstract: This paper brings together four distinct but very important physical notions: (1) Entropic force, (2) Entropy-along-a-curve, (3) Tsallis’ q-statistics, and (4) Emergent gravitation. We investigate the non additive, classical (Tsallis’) q-statistical mechanics of a phase-space curve in n dimensions (3 dimensions, in particular). We focus attention on an entropic force mechanism that yields a simple realization of it, being able to mimic interesting effects such as confinement, hard core, and asymptotic freedom, typical of high energy physics.

Keywords: Phase-space curves; Entropic force; Tsallis’ statistical mechanics (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:506:y:2018:i:c:p:1050-1059

DOI: 10.1016/j.physa.2018.05.031

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