Stability of Relativistic Matter with Magnetic Fields for Nuclear Charges up to the Critical Value

TL;DR

This paper proves the stability of relativistic matter with magnetic fields for nuclear charges up to the critical value, extending the understanding of matter stability in relativistic quantum mechanics.

Contribution

It provides a rigorous proof of matter stability in the relativistic regime with magnetic fields at the critical nuclear charge.

Findings

Stability holds for nuclear charge Zα up to 2/π.

Extends previous stability results to the critical charge case.

Confirms the robustness of relativistic matter models.

Abstract

We give a proof of stability of relativistic matter with magnetic fields all the way up to the critical value of the nuclear charge $Z\alpha=2/\pi$.