Leptons, quarks, and their antiparticles: a phase-space view

TL;DR

This paper proposes a phase-space interpretation of leptons, quarks, and their antiparticles, offering a novel, timeless perspective that relates particle properties to Clifford algebra structures in nonrelativistic phase space.

Contribution

It introduces a phase-space framework connecting elementary particles with Clifford algebra, providing an alternative to standard interpretations and addressing quark unobservability.

Findings

Establishes a correspondence between particle structure and Clifford algebra in phase space.

Provides a timeless interpretation of leptons, quarks, and antiparticles.

Links the additivity of momenta to quark confinement and hadron formation.

Abstract

Recently, a correspondence has been shown to exist between the structure of a single Standard Model generation of elementary particles and the properties of the Clifford algebra of nonrelativistic phase space. Here, this correspondence is spelled out in terms of phase-space variables. Thus, a phase-space interpretation of the connections between leptons, quarks and their antiparticles is proposed, in particular providing a timeless alternative to the standard Stueckelberg-Feynman interpretation. The issue of the additivity of canonical momenta is raised and argued to be intimately related to the unobservability of free quarks and the emergence of mesons and baryons.