I describe here some features of a non-geometrical approach to
quantum gravity which leads to another picture of ties of
gravitation and cosmology. The role of taking into account the
effect of time dilation of the standard cosmological model is
considered. It is shown that the correction for no time dilation
leads to a good accordance of Supernovae 1a data and predictions
of the considered model. The distributions of stretch factor values
of Supernovae 1a for the cases of time dilation and no time dilation are discussed.