A fine quantum mechanism of classical gravity

Abstract

It is shown that screening the background of super-strong inter- acting gravitons ensures the Newtonian attraction, if a part of single gravitons is pairing and graviton pairs are destructed by collisions with a body. If the considered quantum mechanism of classical gravity is re- alized in the nature, than an existence of black holes contradicts to the equivalence principle. In such the model, Newton’s constant is propor- tional to H2/T4, where H is the Hubble constant, T is an equivalent temperature of the graviton background. The estimate of the Hubble constant is obtained for the Newtonian limit: H = 3.026 · 10−18 s−1 (or 94.576 km · s−1 · Mpc−1).