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 mechanism of classical gravity giving a possibility to compute the Newton constant; asymptotic freedom at short distances; interaction of photons with the graviton background leading to the important cosmological consequences; the time delay of photons due to interactions with gravitons; deceleration of massive bodies in the graviton background which may be connected with the Pioneer anomaly and with the problem of dark matter.

Lorentz symmetry violation due to interactions of photons with the graviton background

“…If the second considered case is realized in the nature, one should initially evaluate the free parameter of the model ∆τ 0 from observations. Some preliminary results of this work were used in my paper [8].…”