**Authors:** Michael A. Ivanov

A collection of 18 author's papers on low-energy quantum gravity is presented in the second version of a book. These papers were written during 2000 - 2017. In the papers, main results of author's work in a non-geometrical approach to quantum gravity are described, among them: the quantum mechanism of classical gravity giving a possibility to compute the Newton constant; asymptotic freedom at short distances; an interaction of photons with the graviton background leading to the important cosmological consequences; the time delay of photons due to interactions with gravitons; comparisons of cosmological consequences of the model with observations. A quantum mechanism of classical gravity based on an existence of this sea of gravitons is described for the Newtonian limit. This mechanism needs graviton pairing and "an atomic structure" of matter for working it. If the considered quantum mechanism of classical gravity is realized in nature, then an existence of black holes contradicts to the Einstein's equivalence principle: their gravitational and inertial masses differ in the model. It is shown that in this approach the two fundamental constants - Hubble's and Newton's ones - should be connected between themselves. The theoretical values of the constants are computed. In this approach, every massive body would be decelerated due to collisions with gravitons. In this version, a re-calculated value of this deceleration has been found taking into account both forehead and backhead collisions of a body with gravitons. It is also shown by the author that if gravitons are super-strong interacting particles and the low-temperature graviton background exists, the basic present-day cosmological conjecture about the nature of redshifts may be false. In this case, a full magnitude of cosmological redshift would be caused by interactions of photons with gravitons. Non-forehead collisions with gravitons will lead to a very specific additional relaxation of any photonic flux. It gives a possibility of another interpretation of supernovae Ia data - without any kinematics and introduction of dark energy. A few possibilities to verify model's predictions are considered: the specialized ground-based laser experiment; a non-universal character of the Hubble diagram for soft and hard radiations; the linear dependence of the Hubble parameter H(z) on the redshift z; galaxy/quasar number counts.

**Comments:** 209 pages. The second version of a free ebook of author’s selected papers on low-energy quantum gravity.

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[v1] 13 Oct 2011

[v2] 2018-02-27 09:08:56

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