Charge quantisation without magnetic poles: a topological approach to electromagnetism
Mathematical Physics
2017-10-03 v4 math.MP
Abstract
The present work provides a theoretical explanation for the quantisation of electric charges, an open problem since Millikan's oil drop experiment in 1909. This explanation is based solely on Maxwell's theory, it recasts Electromagnetic theory under the language of complex line bundles; therefore, neither magnetic poles nor quantum mechanics are invoked. The existence of magnetic poles was essentially the only theoretical explanation for charge quantisation (e.g. Dirac's magnetic pole), and there is no experimental data supporting their existence.
Keywords
Cite
@article{arxiv.1409.6716,
title = {Charge quantisation without magnetic poles: a topological approach to electromagnetism},
author = {Romero Solha},
journal= {arXiv preprint arXiv:1409.6716},
year = {2017}
}
Comments
9 pages, 1 appendix. Signs and constants fixed