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The dark energy, dark matter and baryon densities in the Universe areobserved to be similar, with a factor of no more than 20 between the largestand smallest densities. We show that this coincidence can be understood viasuperhorizon domains of randomly varying densities when the baryon density atinitial collapse of galaxy-forming perturbations is determined by anthropicselection. The baryon and dark matter densities are assumed to be dependent onrandom variables \theta_{d} and \theta_{b} according to \rho_{dm} ~\theta_{d}^{\alpha} and \rho_{b} ~ \theta_{b}^{\beta}, while the effectivelyconstant dark energy density is dependent upon a random variable \phi_{Q}according to \rho_{Q} ~ \phi_{Q}^{n}. The ratio of the baryon density to thedark energy density at initial collapse, r_{Q}, and the baryon-to-dark matterratio, r, are then determined purely statistically, with no dependence on theanthropically-preferred baryon density. We compute the probability distributionfor r_{Q} and r and show that the observed values of r_{Q} and r can benaturally understood within this framework. In particular, for the case \alpha= 2, \beta = 1 and n = 4, which can be physically realized via a combination ofaxion dark matter, Affleck-Dine baryogenesis and frozen quintessence with a\phi_{Q}^4 potential, the range of r_{Q} and r which corresponds to theobserved Universe is a quite natural, with a probability which is broadlysimilar to other ranges of r_{Q} and r.

Explaining the Dark Energy, Baryon and Dark Matter Coincidence via Domain-Dependent Random Densities