  It is shown that screening the background of super-strong interacting
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 realized in the nature,
than an existence of black holes contradicts to the equivalence principle. In
such the model, Newton's constant is proportional to $H^{2}/T^{4},$ 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: $H=3.026 \cdot 10^{-18} s^{-1}$ (or $94.576 km \cdot s^{-1} \cdot
Mpc^{-1}$).
