On Milne Universe in Quantum Cosmology

摘要

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.