Dark Matter and Dark Energy as Radiating Media Accounts for the Cosmological Density Parameters

Abstract

We present the possibility that dark matter and dark energy behave analogously to accelerating electric charges but emitting dark radiation and reacting to that radiation. Classical electromagnetic radiation-reaction is governed by the Lorentz-Dirac equation for a charged particle with length scale given by the classical electron radius. Changing to a cosmological length scale, l ≡ λ R 0 , where R 0 is the Hubble radius, we couple the Lorentz-Dirac equation with the Friedmann equations utilizing the two equation of state parameters, w = 0 for dark and baryonic matter and w = − 1 for dark energy. Solving the three resulting cosmological Lorentz-Dirac equations for the three types of matter yields the remarkable solutions for characteristic length scale, λ = 1 / 15 : Ω D E = 3 / 4 , Ω D M = 1 / 5 and Ω B M = 1 / 20 , where Ω is the mass density normalized by the critical density. These match the observed WMAP parameters to within a few percent.