  Graviton pairing and destruction of these pairs under collisions with bodies
may lead to the Newtonian attraction. It opens us a new way to a
very-low-energy quantum gravity model. In the model by the author, cosmological
redshifts are caused by interactions of photons with gravitons of the
background. Non-forehead collisions with gravitons lead to an additional
relaxation of any photonic flux. Total galaxy number counts/redshift and galaxy
number counts/magnitude relations are computed and found to be in a good
agreement with galaxy observations.
