Charge-monopole versus Gravitational Scattering at Planckian Energies

TL;DR

This paper analyzes high-energy charge-monopole scattering, showing electromagnetic effects remain significant compared to gravity at Planck energies, with the amplitude proportional to monopole strength under Dirac quantization.

Contribution

It demonstrates that charge-monopole electromagnetic effects are comparable to gravitational effects at Planckian energies, with scattering amplitude proportional to monopole strength.

Findings

Electromagnetic effects remain significant at Planck energies.

Scattering amplitude proportional to monopole strength.

Electromagnetic and gravitational effects are comparable at high energies.

Abstract

The amplitude for the scattering of a point magnetic monopole and a point charge, at centre-of-mass energies much larger than the masses of the particles, and in the limit of low momentum transfer, is shown to be proportional to the (integer-valued) monopole strength, assuming the Dirac quantization condition for the monopole-charge system. It is demonstrated that, for small momentum transfer, charge-monopole electromagnetic effects remain comparable to those due to the gravitational interaction between the particles even at Planckian centre-of-mass energies.