Conformal cosmology and the age of the universe

Abstract

We show that within the cosmology associated with conformal gravity the age of the universe is given as $1/H_0$, to thus overcome the current cosmological age crisis. We show that while the parameter $Ω_{mat} = ρ_{mat} / ρ_C$ takes on all values between zero and infinity in conformal gravity, nonetheless it is of order one (but not identically equal to one) for half a Hubble time to thus naturally explain its current closeness to one without fine tuning. We show that the cosmological constant is naturally of order the energy density $ρ_{mat}$ of ordinary matter again without fine tuning. We compare and contrast conformal cosmology with that of the standard Friedmann cosmology.