On fundamental hypergroups and their applications in fundamental particles physics and nuclear physics

Authors
Vali-e-Asr university of Rafsanjan
Abstract
In this research, we introduce fundamental hypergroups and dependent hypergroups then we investigate a connection between hypergroup theory and nuclear physics and fundamental particles. We show that interaction process such as Lepton actions in fundamental particle physics and nuclear fusion Stars forms a fundamental hypergroup.
Keywords

[2] Corsini, P., Prolegomena of Hypergroup Theory, Second edition, Aviani Editore, Italy, 1993.

[3] Corsini, P. and Leoreanu, V., Applications of Hyperstructures Theory, Advances in Mathematics, Kluwer Academic Publisher, 2003.

[4] Chung,S., Chemical hyperstructures for Vanadium, J. Chungcheong Math. Soc. 27 (2) (2014) 309−317.

[5] Davvaz, B., Polygroup Theory and Related Systems, World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2013.

[6] Davvaz, B., Weak algebraic hyperstructures as a model for interpretation of chemical reactions, Iranian J. Math. Chem. 7 (2) (2016) 267−283.

[7] Davvaz, B., Dehghan Nezhad,A. and Benvidi, A., Chemical hyperalgebra: Dismutation reactions, MATCH Commun. Math. Comput. Chem. 67 (2012) 55−63.

[8] Davvaz, B., Dehghan Nezhad,A. and Benvidi, A., Chain reactions as experimental examples of ternary algebraic hyperstructures, MATCH Commun. Math. Comput. Chem. 65 (2) (2011) 491−499.



[9] Davvaz, B., Dehghan Nezhad, A. and. Moosavi Nejad, S. M, Algebraic hyperstructure of observable elementary particles including the Higgs boson, Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 90(1) (2020) 169-176 (Springer).

[10] Dehghan Nezhad, A., Moosavi Nejad, , S. M., Nadjafikhah, M. and Davvaz, B. A physical example of algebraic hyperstructures: Leptons, Indian Journal of Physics, 86(11) (2012) 1027-1032 (Springer).

[11] Ghadiri Harati,M., Davvaz, B. and Nekouian, R., Hv-semigroup structure on F2-offspring of a gene pool, International Journal of Biomathematics, 5(4), (2012),1-13.

[12] Marty‎. F. , ‎Sur une Generalization de la Notion de Groupe‎, ‎ 8th Congress Math‎. ‎Scandenaves‎, ‎Stockholm‎, ‎Sweden‎, ‎(1934) 45-49.

[13] Muta,T., "Foundations of Quantum Chromodynamics". Second edition, World Sci. Lect.

(Notes Phys. 57, 1998) 1

[14] Al-Tahan, M. and Davvaz, B., Algebraic hyperstructures associated to biological inheritance, Math. Biosci. 285 (2017) 112−118.

[15] Al-Tahan, M. and Davvaz, B., n-ary hyperstructures associated to the genotypes of F2- offspring, Int. J. Biomath., 10(8) (2017) 1750118 (17 pages).

[16] Vougiouklis, T., “Hyperstructures and their representations”, Hadronic Press, Florida (1994).