Corpuscolar description of bootstrapped Newtonian gravity

One of the main features of General Relativity is that, under very general assumptions and for sufficiently dense objects, it always leads to the creation of space-time singularities that are quite difficult to handle both from an intuitive and a mathematical point of view. Moreover, these singularities are in contrast with the Heisenberg uncertainty principle since they would form a region of space with infinite density of energy. In the last years, Dvali and Gomez suggested a novel approach to black holes' physics, according to which the gravitational field can be described as a collection of soft gravitons. In this picture some phenomena that are very well known in the geometrical picture of gravity are explained in terms of Quantum Mechanical effects related to gravitons. The aim of this work is to provide a self consistent quantum corpuscolar description of gravitational interactions with a classical background given by the bootstrapped Newtonian gravity, where no space-time singularities arise, and compare the results with the assumptions made by Dvali and Gomez about the properties of gravitons.