Small magnetic charges and monopoles in non-associative quantum mechanics

TL;DR

This paper explores the possibility of weak magnetic monopoles in non-associative quantum mechanics, proposing new computational methods to evaluate their energy spectra and establish bounds on their magnetic charge.

Contribution

It introduces novel methods for calculating energy spectra in non-associative quantum mechanics to test for weak magnetic monopoles.

Findings

Proposes new computational techniques for non-associative quantum systems.

Establishes upper bounds on magnetic charges of elementary particles.

Suggests weak magnetic monopoles could evade detection in hydrogen spectra.

Abstract

Weak magnetic monopoles with a continuum of charges less than the minimum implied by Dirac's quantization condition may be possible in non-associative quantum mechanics. If a weakly magnetically charged proton in a hydrogen atom perturbs the standard energy spectrum only slightly, magnetic charges could have escaped detection. Testing this hypothesis requires entirely new methods to compute energy spectra in non-associative quantum mechanics. Such methods are presented here, and evaluated for upper bounds on the magnetic charge of elementary particles.