Title: Quantum Black Holes and Atomic Nuclei are Hollow,
Abstract: The quantum Schrodinger-Newton equation is solved for a self-gravitating Bose
gas at zero temperature. It is derived that the density is non-uniform and a
central hollow cavity exists. The radial distribution of the particle momentum
is uniform. It is shown that a quantum black hole can be formed only above a
certain critical mass. The temperature effect is accounted for via the
Schrodinger-Poisson-Boltzmann equation, where low and high temperature
solutions are obtained. The theoretical analysis is extended to a strong
interacting gas via the Schrodinger-Yukawa equation, showing that the atomic
nuclei are also hollow. Hollow self-gravitating Fermi gases are described by
the Thomas-Fermi equation.