On Milne Universe in Quantum Cosmology

We present a short review of our results in Quantum Cosmology, in particular on nonarchimedean spaces. As an illustration of our approach we present here our new results on the so-called "Milne Universe". The Milne model, we consider, is a special case of the Friedmann-Lemaitre-Robertson-Walker (FLRW) model in the limit of zero mass density. Although its predictions of matter density and spatial curvature contradict observations, we discuss possibilities for a plausible role of this model within the framework of Quantum Cosmology. We present the standard and a new form of the "Milne Universe", in particular in 2+1 dimensions, and bring these into connection with a few new proposals which have appeared in the last few years.