Theory of Classical Electrodynamics with Topologically Quantized Singularities as Electric Charges

Scientific paper - Original scientific paper

• Author: Bruno Golik
• Author: Dario Jukić
• Author: Hrvoje Buljan
• Author's institution: University of Zagreb; Faculty of Science; (Department of Physics)
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Physics

Abstract (english)

A theory of classical electrodynamics, where the only admissible electric charges are topological singularities in the electromagnetic field, is formulated. Charge quantization is accounted by the Chern theorem, such that Dirac magnetic monopoles are not needed. The theory allows positive and negative charges of equal magnitude, where the sign of the charge corresponds to the chirality of the topological singularity. Given the trajectory of the singularity, one can calculate electric and... More magnetic fields identical to those produced by Maxwell's equations for a moving point charge, apart from a multiplicative constant factor related to electron charge and vacuum permittivity. The theory is based on the relativistic Weyl equation in frequency‐wavevector space, with eigenstates comprising the position, velocity, and acceleration of the singularity, and eigenvalues defining the retarded position of the charge. From the eigenstates, one calculates the Berry connection and the Berry curvatures, and identifies the curvatures as electric and magnetic fields. Less

• Keywords (english): charge quantization; Chern theorem; topological singularity; Weyl equation in energy-momentum space
• Language: english
• Publication type: Scientific paper - Original scientific paper
• Publication status: Published
• Peer review: Peer review - international
• Publication version: Published version
• Journal title: Laser & Photonics Reviews
• Numbering: vol. 19, no. 2, 2400217
• p-ISSN: 1863-8880
• e-ISSN: 1863-8899
• DOI: https://doi.org/10.1002/lpor.202400217
• URN:NBN: urn:nbn:hr:217:163932
• Publication: 2024-09-24
• Project: Number: KK.01.1.1.01.0004; Title (croatian): Provedba vrhunskih istraživanja u sklopu Znanstvenog centra izvrsnosti za kvantne i kompleksne sustave te reprezentacije Liejevih algebri; Title (english): Implementation of top research within the Scientific Center of Excellence for Quantum and Complex Systems, and Representations of Lie Algebras; Acronym: QuantiXLie; Leader: Hrvoje Buljan; Jurisdiction: eu; Funding stream: European Regional Development Fund
• Document URL: https://onlinelibrary.wiley.com/doi/10.1002/lpor.202400217
• Type of resource: Text
• Access conditions: Open access
• Public note: ©2024 The Author(s). Laser & Photonics Reviews published by Wiley-VCH GmbH. This is an open access article under the terms of the Creative Commons Attribution-NonCommercial-NoDerivs License, which permits use and distribution in any medium, provided the original work is properly cited, the use is non-commercial and no modifications or adaptations are made. Received: February 13, 2024. Revised: September 9, 2024. Published online: September 24, 2024.
• Created on: 2025-03-17 10:48:03