Stability of Matter in Magnetic Fields

TL;DR

This paper proves that matter remains stable under arbitrarily large magnetic fields if the fine-structure constant and nuclear charge satisfy specific bounds, extending understanding of matter stability in extreme magnetic environments.

Contribution

It establishes new stability conditions for matter in strong magnetic fields, specifically for bounds on the fine-structure constant and nuclear charge.

Findings

Matter is stable if <0.06 and Z^2<0.04 in large magnetic fields

Stability conditions depend on bounds for  and Z^2

Extends previous results on matter stability in magnetic environments

Abstract

In the presence of arbitrarily large magnetic fields, matter composed of electrons and nuclei was known to be unstable if $\alpha$ or $Z$ is too large. Here we prove that matter {\it is stable\/} if $\alpha<0.06$ and $Z\alpha^2<0.04$.