Multi-valued hypermathematics for characterization of matter and antimatter systems

Issue title: Proceedings of the San Marino Workshop on Astrophysics and Cosmology for Matter and Antimatter, Italy, September 5–9, 2011

Guest editors: Christian Corda

Article type: Research Article

Authors: Davvaz, B.^{a; *} | Santilli, R.M.^b | Vougiouklis, T.^c

Affiliations: [a] Department of Mathematics, Yazd University, Yazd, Iran | [b] Institute for Basic Research, Palm Harbor, FL, USA | [c] School of Science of Education, Democritus University of Thrace, Alexandroupolis, Greece

Correspondence: [*] Corresponding author: B. Davvaz, Department of Mathematics, Yazd University, Yazd, Iran. E-mail: davvaz@yazduni.ac.ir.

Abstract: The hyperstructures used in Hadronic Mechanics, more precisely on the characterization of matter-antimatter systems are presented. Some topics of hyperstructures related on the topic as the Hv-structures, e-hypernumbers, e-hypervector spaces, P-hyperoperations are extensively presented. The theory of Santilli’s isomathematics is also presented. A new realization is used to represent a part of the Santilli’s theory on matter and anti-matter.

Keywords: Algebraic hyperstructure, hypergroup, hyperring, hyperfield, two-valued field, isodual spacetime, hyperunit

DOI: 10.3233/JCM-120452

Journal: Journal of Computational Methods in Sciences and Engineering, vol. 13, no. 1-2, pp. 37-50, 2013