Implications of a Primordial Origin for the Dispersion in D/H in Quasar Absorption Systems

We consider possible implications if the recent and disconcordant measurements of D/H in quasar absorption systems are real and indicate a dispersion in D/H in these primitive systems. In particular we examine the option that the D/H abundances in these systems, which are separated on cosmological scales, are primordial, implying a large scale inhomogeneity in the baryon content of the Universe. We show that such large scale isocurvature perturbations are excluded by current cosmic microwave background observations. We also discuss the implications of a smaller (in amplitude) inhomogeneity on the problem of the baryon density in clusters.