Author(s)

Roberto Lopez-Boada¹, Luis Grave de Peralta^2,3*

¹Science and Wellness Department, Broward College, Pembroke Pines, FL, USA.
²Department of Physics and Astronomy, Texas Tech University, Lubbock, TX, USA.
³Nano Tech Center, Texas Tech University, Lubbock, TX, USA.

It is shown how to build a simple but exact theory of a relativistic Fermi gas at 0 °K, which is based in a recently reported analytic formula for the energies of a relativistic spin-0 particle in a box. A white dwarf star is then simulated as a sphere filled with a relativistic Fermi gas. The Chandrasekhar mass limit is simply obtained using this model. We then discuss, using the proposed approach to relativistic quantum mechanics, how the interplay between the special theory of relativity, quantum mechanics, and gravity determines the stability of the matter.

Quantum Mechanics, Relativistic Fermi Gas, Relativistic Quantum Mechanics

Lopez-Boada, R. and Grave de Peralta, L. (2021) Some Consequences of a Simple Approach for Constructing a Theory of a Relativistic Fermi Gas. Journal of Modern Physics, 12, 1966-1974. doi: 10.4236/jmp.2021.1214113.