Restrictions on Magnetic Charge from Quantized Angular Momentum

TL;DR

This paper derives restrictions on magnetic monopoles based on angular momentum quantization, suggesting they must scale oppositely to electric charges and highlighting issues with free monopoles near multiple electric charges.

Contribution

It introduces new constraints on magnetic monopoles derived from angular momentum considerations, impacting their theoretical properties and interactions.

Findings

Magnetic charge should scale inversely with electric charge.

Free monopoles are inconsistent near multiple electric charges.

Angular momentum quantization restricts monopole existence.

Abstract

Using the result that an electric charge - magnetic charge system carries an internal field angular momentum of $e g / 4 \pi$ we arrive at two restrictions on magnetic monopoles via the requirement of angular momentum quantization and/or conservation. First we show that magnetic charge should scale in the opposite way from electric charge. Second we show that free, unconfined monopoles seem to be inconsistent when one considers a magnetic charge in the vicinity of more than one electric charge.