SOME PREDICTIONS OF THE COSMOLOGICAL SCHRÖDINGER EQUATION

Abstract

Starting from the apparently periodic structures of the universe, revealed in a series of recent observations, we suppose that Dark Matter is composed of a quantum particle of very low mass and is clustered around the luminous matter of galaxies. We reduce the cosmological Friedman–Einstein dynamical system to a sort of Schrödinger equation for this quantum particle with a simple first quantization scheme. Comparing the eigen-solutions of this Cosmological Schrödinger Equation with the experimental periodic large scale structure, we predict the possible value of the mass of the dark quantum particle in two remarkable cases.