This paper brings together four distinct but very important physical notions:
- 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