Predictions of Entropic Gravity

TL;DR

This paper explores an entropic perspective on gravity, proposing a minimum length scale that affects Newtonian gravity at small scales, with implications for black holes and Hawking radiation.

Contribution

It introduces a density-dependent minimum length for gravity, addressing renormalizability and predicting deviations from Newton's law at nanometer scales.

Findings

Newton's law fails at nanometer scales

Black holes with mass below 10^{-13} solar masses do not exist

Hawking radiation is at unobservably low temperature

Abstract

We discuss consequences of an entropic view of gravity, which differs in details from the original proposals of Jacobson and Verlinde. We assume the entropy is localized in the degrees of freedom of the systems interacting gravitationally. We then find there is a density-dependent minimum length for Newtonian gravity. This makes renormalizability issues irrelevant. It also follows that at nanometer scales Newton's universal law fails, black holes with mass $M_{BH} \lesssim 10^{-13} M_{\odot}$ do not exist and all Hawking radiation is at unobservably low temperature.