Conformal cosmology and the age of the universe
  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 $\Omega_{mat} = \rho_{mat} / \rho_C$ 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 $\rho_{mat}$ of ordinary matter again without fine tuning. We compare and contrast conformal cosmology with that of the standard Friedmann cosmology. 
Philip D. Mannheim (University of Connecticut)