On Noncommutative Effects in Entropic Gravity

TL;DR

This paper investigates potential quantum corrections in entropic gravity models using a fuzzy sphere approximation, concluding that without full quantum dynamics understanding, Planck-scale corrections are unreliable, though some perturbative effects may be detectable.

Contribution

It introduces a fuzzy sphere model to analyze quantum effects in entropic gravity and assesses the observability of Planck-scale corrections.

Findings

Planck-scale corrections are unreliable without complete quantum dynamics.

Perturbative corrections could provide observable effects below Planck scale.

Full quantum microscopic details are essential for accurate predictions.

Abstract

We analyze the question of possible quantum corrections in the entropic scenario of emergent gravity. Using a fuzzy sphere as a natural quasiclassical approximation for the spherical holographic screen, we analyze whether it is possible to observe such corrections to Newton's law in principle. The main outcome of our analysis is that without the complete knowledge of quantum dynamics of the microscopical degrees of freedom, any Plank scale correction cannot be trusted. Some perturbative corrections might produce reliable predictions well below the Plank scale.