A Semi-classical Upper Limit For Magnetic Fields Strength And the Case of Magnetars

TL;DR

This paper proposes a semi-classical upper limit for magnetic field strength based on a velocity bound for particles, explaining the extreme magnetic fields observed in magnetars within a new theoretical framework.

Contribution

It introduces a semi-classical approach imposing an upper velocity limit to derive a maximum magnetic field strength, linking classical physics with astrophysical observations.

Findings

Maximum magnetic field strength aligns with observed magnetar fields

Semi-classical assumption yields realistic astrophysical limits

Provides a new perspective on magnetic field bounds in the universe

Abstract

In the pass from classical to modern physics, the idea of supposing some quantities having distinct or bounded values and keeping the rest continuous has been useful in treating many problems. In this paper, we suppose an upper limit for velocity of the classical particles and show applying this assumption to electromagnetism leads us to a maximum strength for magnetic fields which reveals an acceptable coincidence with the highest strengths in the cosmos, observed in magnetars.