Dark Universe and distribution of matter as quantum imprinting

In this paper we want to analyze the Dark Matter problem and the distribution of matter through two different approaches, which are linked by the possibility that the solution of these astronomical puzzles should be sought in the quantum imprinting of the Universe. The first approach is based on a cosmological model formulated and developed in the last ten years by the first and third authors of this paper; the so-called "Archaic Universe". The second approach was formulated by Rosen in 1993 by considering the Friedman-Einstein equations as a simple one-dimensional dynamical system reducing the cosmological equations to a sort of Schrodinger equation. The quantum memory in cosmological dynamics could explain, for example, the apparently periodic structures of the Universe while Archaic Universe shows how the quantum phase concerns not only an ancient era of the Universe, but quantum facets permeating the entire Universe today. (C) 2018 Elsevier B.V. All rights reserved.