Predictions of Entropic Gravity

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.