# Traversable wormhole magnetic monopoles from Dymnikova Metric

## TL;DR

This paper explores a traversable wormhole derived from the Dymnikova metric, proposing that torsional geometry can induce magnetic monopoles and relate them to electric charges, suggesting a geometric origin for magnetic monopoles.

## Contribution

It introduces a novel approach linking torsion in geometry to magnetic monopoles within a traversable wormhole framework, extending the understanding of magnetic charge origins.

## Key findings

- Magnetic monopoles can be geometrically induced via torsion.
- A relationship between torsion, magnetic fields, and electric charges is established.
- Torsion introduces a fundamental length scale for magnetic fields and spacetime discretization.

## Abstract

We study a traversable wormhole originated by a transformation over the 4D Dymnikova metric which describes analytic Black-Holes (BH). By using a transformation of coordinates which is adapted from the used in the Einstein-Rosen bridge, we study a specific family of geodesics in which a test particle with non-zero electric charge induces an effective magnetic monopole, that is perceived by observers outside the wormhole. Because the Riemannian geometry cannot explain the presence of magnetic monopoles, then we propose a torsional geometry in order to explore the possibility that magnetic monopoles can be geometrically induced. We obtain an expression that relates torsion and magnetic fields jointly with a Dirac-like expression for magnetic and electric charges, such that torsion makes possible define a fundamental length that provides a magnetic field and a spacetime discretization.