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

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

arXiv comment19 pqges. 2 figures. Title has changed. Text has changed significantly

References in corpus (20)

• On the Origin of Gravity and the Laws of Newton
• K${}_{\mathrm{S}}^0$ and $\mathrm{\Lambda }$ production in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV
• Measurement of neutral mesons in p+p collisions at sqrt(s) = 200 GeV and scaling properties of hadron production
• Identified charged hadron production in p+p collisions at sqrt(s)=200 and 62.4 GeV
• Nonadditive entropy: the concept and its use
• Nuclear modification factors of phi mesons in d+Au, Cu+Cu and Au+Au collisions at sqrt(S_NN)=200 GeV
• Study of the production of charged pions, kaons, and protons in pPb collisions at sqrt(sNN) = 5.02 TeV
• Lynden-Bell and Tsallis distributions for the HMF model
• On the meaning of Tsallis functional in astrophysics
• Nonextensivity at the edge of chaos of a new universality class of one-dimensional unimodal dissipative maps
• Inhomogeneous Tsallis distributions in the HMF model
• Continuous transition from the extensive to the non-extensive statistics in an agent-based herding model
• Tsallis thermostatics as a statistical physics of random chains
• Possible Divergences in Tsallis' Thermostatistics
• Long-range interactions, doubling measures and Tsallis entropy
• Physics with the ALICE experiment
• Extensive limit of a non-extensive entanglement entropy
• Statistical Mechanics of Phase-Space Curves
• 3D Effects Of The Entropic Force
• q-Path entropy phenomenology for phase-space curves

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