Bosons, Fermions and Branes

TL;DR

This paper explores the fundamental properties of bosons and fermions, using noncommutative geometry and Clifford algebra to describe particles and extend the framework to branes within C-space.

Contribution

It introduces a novel geometric approach to fermions and branes using noncommutative geometry and Clifford algebra, extending particle descriptions to higher-dimensional objects.

Findings

Fermions described via Dirac equation in noncommutative geometry

Extension of particle framework to branes in C-space

Potential new insights into particle and brane interactions

Abstract

Starting from considerations of Bosons at the real life Compton scale we go on to a description of Fermions, specifically the Dirac equation in terms of an underlying noncommutative geometry described by the Dirac $\gamma$ matrices and generalize this to branes in an underlying C-space (with Clifford Algebra).