Quantization of Entropic Gravity

We present a model of gravity in which the gravitational interaction is interpreted as a consequence of changes in information regarding the mutual positions of Planckian masses on a holographic screen. This approach builds on the entropic interpretation of gravity and the holographic principle. We show that Newton’s law of gravitation can be derived by considering entropy changes resulting from a small displacement of a mass. Furthermore, the minimal quantum of entropy, known from the quantization of black hole horizons, leads to the concept of a “quantum of gravitational force.” In addition, we introduce an uncertainty principle for mass. A prospective experimental test of these hypotheses, using highly sensitive torsion balances, is also proposed.