A non-geometrical approach to quantum gravity

Abstract

Some results of author’s work in a non-geometrical approach to quantum gravity are reviewed here, among them: a quantum mecha- nism of classical gravity giving a possibility to compute the Newton constant; asymptotic freedom at short distances; interaction of pho- tons with the graviton background leading to the important cosmo- logical consequences; the time delay of photons due to interactions with gravitons; deceleration of massive bodies in the graviton back- ground which may be connected with the Pioneer anomaly and with the problem of dark matter.