SO(8) Colour as possible origin of generations

TL;DR

This paper explores the potential link between the three generations of quarks and leptons and the triality symmetry of the SO(8) group, suggesting a mathematical origin for particle generations.

Contribution

It proposes a novel theoretical connection between particle generations and the triality property of SO(8), expanding understanding of fundamental symmetries in particle physics.

Findings

Triality of SO(8) may underlie the existence of three generations.

Mathematical framework connecting SO(8) to quark-lepton families.

Potential implications for unifying particle physics theories.

Abstract

A possible connection between the existence of three quark-lepton generations and the triality property of SO(8) group (the equality between 8-dimensional vectors and spinors) is investigated.