Prediction of a finite bare electrical charge from quantum gravity

TL;DR

This paper explores how quantum gravity effects lead to the quantization of a bare electrical charge, revealing a fundamental quantum of charge through semiclassical analysis of a matter shell.

Contribution

It introduces a novel approach linking quantum gravity with charge quantization, deriving the quantum of squared charge from bound state conditions.

Findings

Charge quantization emerges from bound state conditions.

The quantum of squared charge is c/2.

Spacetime curvature influences charge properties at quantum level.

Abstract

In the spirit of general relativity, spacetime should become curved due to the presence of a particle of a given mass and charge, We try to understand this fact in the quantum theory of a thin shell of matter. It leads to a generalization of the potential energy of the shell in the semiclassical highest dominant order of Planck mass. Rather surprisingly, the quantization of charge is obtained as a consequence of the existence of bound states and the quantum of the squared bare electrical charge is $\hbar c/2$