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.
Keywords
Cite
@article{arxiv.1705.08249,
title = {Quantum Black Holes and Atomic Nuclei are Hollow},
author = {Roumen Tsekov},
journal= {arXiv preprint arXiv:1705.08249},
year = {2019}
}
Comments
The paper is dedicated to the Memory of David Bohm (1917-1992) and Stephen Hawking (1942-2018)