The internet has brought about significant transformations in communication and human
behaviour. It has revolutionised how people connect, express themselves, and socialise …

The octonion is a generalization of complex to noncommutative and nonassociative space
which has closed relation with exception geometries, wave equation, Yang‐Mills equations …

There have been a number of claims, going back to the 1970s, that the Standard Model of
particle physics, based on fermions and antifermions, might be derived from an octonion …

The purpose of this dissertation is to clarify the emergence of quaternions in order to make
the history of quaternions less opaque to teachers and students in mathematics and …

The author has been exploring the Mandelbrot Set in unique ways, for about 30 years, by
highlighting areas of the Complex plane where the magnitude of the iterand follows a trend …

Dimensionality has been a much discussed subject since Minkowski formalized special
relativity by extending 3D space to 4D space-time. However, there has never been any …

This paper discusses the potential application of the Okubonions, ie the Okubo algebra
$\mathcal {O} $, within quantum chromodynamics (QCD). The Okubo algebra lacks a unit …

Abstract The SU (3) _ c SU (3) c gauge theory for eight massless vector gauge fields is
assimilated into the formalism which generated the intrinsic local gauge invariant U (1) and …

The aim of this paper is to study the properties of the Möbius addition⊕ under the action of
the gyration operator gyr [a, b], and the relation between (σ, t)-translation defined by the …

The goal of this thesis is to develop rigorous foundations for octonionic structures for their
potential use in theoretical physics. I begin by defining the octonions and exploring some of …