The central density of a body supported by degenerate electrons goes to zero as the mass of the body goes to zero. This unphysical result arises from the neglect of electromagnetic interactions between electrons and ions. In fact, as the pressure falls, the density tends to a value corresponding to ordinary, uncompressed atomic matter. Because the size of an atom is aB = h/(aEMmec), which is the Bohr radius, and aEM = 1/137, show that the central density of a body supported by degenerate electrons becomes comparable with the normal atomic densities when the mass of a body is comparable with (73/2) aEM aG / Mp.