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

Abstract

This paper brings together four distinct but very important physical notions: Entropic force, Entropy-along-a-curve, Tsallis? q-statistics, and Emergent gravitation. We investigate the non additive, classical (Tsallis?) q-statistical mechanics of a phase-space curve in n dimensions (3 dimensions, in particular).Wefocus 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.