Dyonic Reissner-Nordstr\"om black hole: extended Dirac quantization from 5D invariants

TL;DR

This paper extends Weitzeb"{o}ck Induced Matter Theory to analyze dyonic Reissner-Nordstr"{o}m black holes, proposing a geometric invariant in 5D that leads to a quantization condition linking mass and charges.

Contribution

It introduces a novel geometric invariant in 5D that establishes a quantization relation for gravitational mass and electric and magnetic charges in dyonic black holes.

Findings

Derived a 5D invariant condition for charge quantization.

Extended WIMT to include dyonic black hole solutions.

Proposed a geometric framework connecting mass and charges.

Abstract

The aim of present work is to extend the application of Weitzeb\"{o}ck Induced Matter Theory (WIMT) to a dyonic Reissner-Nordstr\"{o}m Black Hole (RNBH), by proposing a condition compatible with a quantization relation between gravitational mass and both magnetic and electric charges from a geometric product defined as an invariant in 5D.