Quantum Electrodynamics based on a Superselection Rule

TL;DR

This paper explores how replacing the Poincare group with the de Sitter group in quantum electrodynamics introduces a superselection rule linking spin and momentum, leading to an electromagnetic-like interaction.

Contribution

It proposes a novel approach to QED by incorporating the de Sitter group, revealing a new superselection rule that correlates spin and momentum, and models electromagnetic interaction.

Findings

Superselection rule correlates spin and momentum of particles.

Interaction exhibits properties similar to electromagnetic interaction.

Replaces Poincare symmetry with de Sitter symmetry in QED.

Abstract

This paper analyzes, for a multi-particle system of spin-1/2 particles, the consequences of replacing the Poincare group as fundamental symmetry group by the de Sitter group SO(3,2). The flat-space approximation of the de Sitter group by the Poincare group defines a superselection rule, which correlates spin and momentum of particles. This correlation can be formulated as an interaction between two particles, which exhibits properties of the electromagnetic interaction.