Baryon-to-Dark Matter Ratio from Random Angular Fields
  We consider the baryon-to-dark matter ratio in models where the dark matter
and baryon densities depend on angular fields \theta_{d} and \theta_{b}
according to \rho_{d} ~ \theta_{d}^{\alpha} and \rho_{b} ~ \theta_{b}^{\beta},
with all values of \theta_{d} and \theta_{b} being equally probable in a given
randomly-selected domain. Under the assumption that anthropic selection depends
primarily on the baryon density in galaxies at spherical collapse, we show that
the probability density function for the baryon-to-dark matter ratio r =
\Omega_{B}/\Omega_{DM} is purely statistical in nature and is independent of
anthropic selection. We compute the probability density function for r as a
function of \alpha and \beta and show that the observed value of the
baryon-to-dark matter ratio, r \approx 1/5, is natural in this framework.
