The algebraic hyperstructure of elementary particles in physical theory

TL;DR

This paper explores how algebraic hyperstructures, which generalize classical algebraic structures by allowing element compositions to be sets, can be applied to model elementary particles in physics.

Contribution

It introduces hyperstructures related to elementary particles, extending algebraic modeling in physical theory with new examples.

Findings

Hyperstructures can model particle interactions as set-valued compositions.

Examples demonstrate the applicability of hyperstructures to elementary particles.

Provides a new algebraic framework for physical theories involving particles.

Abstract

Algebraic hyperstructures represent a natural extension of classical algebraic structures. In a classical algebraic structure, the composition of two elements is an element, while in an algebraic hyperstructure, the composition of two elements is a set. Algebraic hyperstructure theory has a multiplicity of applications to other disciplines. The main purpose of this paper is to provide examples of hyperstructures associated with elementary particles in physical theory.