Quantum Electromagnetic Wormholes and Geometrical Description of the Electric Charge
Marco Cavagli\`a
TL;DR
This paper explores quantum wormhole solutions in gravity coupled with electromagnetism, offering a geometrical perspective on electric charge as trapped electric lines of force, and introduces a quantum analog of electromagnetic geons.
Contribution
It introduces a class of solutions to the Wheeler-de Witt equation describing electromagnetic wormholes in specific spacetimes, linking quantum gravity with electromagnetic charge configurations.
Findings
Solutions describe quantum electromagnetic wormholes.
Electric charge modeled as trapped electric lines of force.
Quantum analog of electromagnetic geons proposed.
Abstract
I present and discuss a class of solutions of the Wheeler-de Witt equation describing wormholes generated by coupling of gravity to the electromagnetic field for Kantowski-Sachs and Bianchi I spacetimes. Since the electric charge can be viewed as electric lines of force trapped in a finite region of spacetime, these solutions can be interpreted as the quantum corresponding of the Ein\-stein\--Ro\-sen\--Mis\-ner\--Whee\-ler electromagnetic geon.
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