Derivation of the Elementary Particles Total Energy by Quantum Statistical Physics and Generalized Special Relativity

Generalized special relativity, Fermi potential, Fermi energy, rest mass, atomic radius, sphere of radius.

Authors

  • Mohammed Saeed Dawood Aamir Red Sea University- Faculty of Education- Department of Physics-Port Sudan- Sudan
  • Mubarak Dirar AbdAlla Sudan University of Science & Technology- College of Science- Department of Physics & International University of Africa- College of Science- Department of Physics-Khartoum- Sudan
  • Ferial Hamed Elneel Esmail University of Bakht Alruda- Faculty of Science- Department of Physics-Eldeewim – Sudan
  • Sawsan Ahmed Elhouri Ahmed University of Bahri- College of Applied & Industrial Sciences- Department of Physics- Khartoum- Sudan
March 21, 2026

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Einstein theory of relativity is one of big achievements in physics. This requires using it for promoting physical theories. Special relativistic energy momentum equation was utilized to determine the Fermi energy. The results obtained indicate that the Fermi energy is rest mass dependent. Unfortunately special relativity suffers from the lack of a term which feels the existence fields. This defect was cured by constructing potential dependent special relativity. This potential dependent special relativity was used to find the self energy of gravitational mass under equilibrium conditions and to find also the Fermi energy. It was found that Fermi self energy is dependent on the rest mass and mass radius.