Multi-valued hypermathematics for characterization of matter and antimatter systems

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 ${\mathit{H}}_{\mathit{v}}$ -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.