Verlinde's emergent gravity in an $\boldsymbol{n-}$dimensional, non-additive Tsallis' scenario

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

doi:10.1016/j.physa.2018.05.031

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arXiv · 1711.03866

Verlinde's emergent gravity in an $\boldsymbol{n-}$dimensional, non-additive Tsallis' scenario

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

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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

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D. J. Zamora, M. C. Rocca, A. Plastino, G. L. Ferri. 2018-06-14. Verlinde's emergent gravity in an $\boldsymbol{n-}$dimensional, non-additive Tsallis' scenario. https://doi.org/10.1016/j.physa.2018.05.031

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