2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/168847In the model of low-energy quantum gravity by the author, the redshift mechanism is quantum and local, and it is not connected with any expansion of the Universe. A few possibilities to verify its predictions are considered here: the specialized ground-based laser experiment; a deceleration of massive bodies and the Pioneer anomaly; a non-universal character of the Hubble diagram for soft and hard radiations; galaxy/quasar number counts.6 pages, 3 figures, Latex. In the Proceedings of the Int. conference Problems of Practical Cosmology, 23-27 June 2008, Saint Petersburg, RussiaGeneral Physicstext