A fine quantum mechanism of classical gravity

TL;DR

This paper proposes a quantum mechanism for classical gravity involving graviton interactions and pairing, suggesting that black holes conflict with the equivalence principle and deriving a relation for Newton's constant based on cosmological parameters.

Contribution

It introduces a quantum gravity model based on graviton pairing and background screening, linking Newton's constant to the Hubble constant and background temperature.

Findings

Newtonian gravity explained via graviton interactions

Derived Hubble constant estimate consistent with observations

Black holes are incompatible with the proposed quantum gravity model

Abstract

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 $94.576 km \cdot s^{-1} \cdot Mpc^{-1}$).