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.
References
[1]
Kittel, C. (2005) Introduction to Solid State Physics. 8th Edition, J. Wiley & Sons, New York.
[2]
Griffiths, D.J. (2018) Introduction to Quantum Mechanics. 3rd Edition, Prentice Hall, New York. https://doi.org/10.1017/9781316995433
[3]
Greiner, W., Neise, L. and Stöcker, H. (1997) Thermodynamic and Statistical Mechanics. Springer-Verlag, New York.
[4]
Landau, L. and Lifshits, E.M. (1970) Statistical Physics. 2nd Edition, Pergamon Press, Oxford.
[5]
Grave de Peralta, L., Poveda, L. and Poirier, B. (2021) European Journal of Physics, 42, Article ID: 055404. https://doi.org/10.1088/1361-6404/ac0ecc
[6]
Grave de Peralta, L. (2020) The European Journal of Physics, 41, Article ID: 065404. https://doi.org/10.1088/1361-6404/aba7dc
[7]
Grave de Peralta, L. (2020) Results in Physics, 18, Article ID: 103318. https://doi.org/10.1016/j.rinp.2020.103318
[8]
Grave de Peralta, L. (2020) Journal of Modern Physics, 11, 196-213. https://doi.org/10.4236/jmp.2020.112012
[9]
Grave de Peralta, L. (2020) Scientific Reports, 10, Article No. 14925. https://doi.org/10.1038/s41598-020-71505-w
[10]
Ruiz-Columbié, A., Farooq, H. and Grave de Peralta, L. (2021) Journal of Modern Physics, 12, 1358-1374. https://doi.org/10.4236/jmp.2021.1210085
[11]
Grave de Peralta, L. and Farooq, H. (2021) Journal of Modern Physics, 12, 1145-1159. https://doi.org/10.4236/jmp.2021.128068
[12]
Christodeulides, C. (2016) The Special Theory of Relativity. Springer, New York.
[13]
Morison, I. (2008) Introduction to Astronomy and Cosmology. Wiley, London.
[14]
Kutner, M.L. (2003) Astronomy, a Physical Perspective. 2nd Edition, Cambridge University Press, Cambridge. https://doi.org/10.1017/CBO9780511802195
[15]
Walker, J., Resnick, R. and Halladay, D. (2014) Fundamentals of Physics. 10th Edition, J. Wiley & Sons, New York.
[16]
Poveda, L.A., Ruiz-Columbié, A. and Grave de Peralta, L. (2021) Relativistic Corrections to the Diósi-Penrose Model. http://arxiv.org/abs/2103.00994
[17]
Diósi, L. (1984) Physics Letters A, 105, 199. https://doi.org/10.1016/0375-9601(84)90397-9
[18]
Lieb, H.E. and Seiringer, R. (2010) The Stability of Matter in Quantum Mechanics. Cambridge University Press, New York. https://doi.org/10.1017/CBO9780511819681
[19]
Grave de Peralta, L., Poirier, B. and Poveda, L.A. (2021) APS March Meeting U71-00234.
