On noncommutative geometry of the Standard Model: fermion multiplet as internal forms

TL;DR

This paper explores the geometric interpretation of fermion multiplets in the Standard Model using noncommutative geometry, framing them as internal forms on a finite quantum space.

Contribution

It introduces a novel noncommutative geometric framework for understanding fermion multiplets as internal forms, linking particle physics with quantum geometry.

Findings

Fermion multiplets are modeled as noncommutative de Rham forms.

Provides a geometric perspective on the internal structure of the Standard Model.

Bridges concepts of quantum space with particle physics geometry.

Abstract

We unveil the geometric nature of the multiplet of fundamental fermions in the Standard Model of fundamental particles as a noncommutative analogue of de Rham forms on the internal finite quantum space.