On Quark-Lepton Symmetry

TL;DR

This paper introduces a new quantum number and explores how its conservation implies the conservation of baryon and lepton number difference, discussing the underlying quark-lepton symmetry rooted in a four-group transformation.

Contribution

It proposes a new quantum number and links quark-lepton symmetry to a four-group transformation, offering a novel perspective on particle symmetry relations.

Findings

Conservation of the new quantum number implies baryon-lepton difference conservation.

Quark-lepton symmetry originates from a four-group transformation.

The nature of quark-lepton symmetry is connected to symmetry transformations within a four-group.

Abstract

The new quantum number is introduced. It is shown that the conservation of -number results in the conservation of difference between baryon and lepton numbers. The problem of quark-lepton symmetry is discussed. It is shown that the nature of quark-lepton symmetry stems from the fact that the particles of one generation are subject to the symmetry transformation represented by 4-group of diedr.