Atiyah, M. and Sutcliffe, P. (2002) The Geometry of Point Particles. Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 458, 1089-1115.
https://doi.org/10.1098/rspa.2001.0913

has been cited by the following article:

• TITLE: Fine Structure Constant Model Demonstrates the Electron Elementary Charge of Having an Intrinsic Manifold

  AUTHORS: Emmanouil Markoulakis, Emmanuel Antonidakis

  KEYWORDS: Electron Charge Manifold, Electron Fiber Model, Compton Electron, Fine Structure Constant, Anomalous Magnetic Moment, Electron Dipole Moment, Classical Electrodynamics, Electron Geometry

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.10 No.10, October 13, 2022

  ABSTRACT: Using our recently published electron’s charge electromagnetic flux manifold fiber model of the electron, described by analytical method and numerical simulations, we show how the fine structure constant is embedded as a geometrical proportionality constant in three dimensional space of its charge manifold and how this dictates the first QED term one-loop contribution of its anomalous magnetic moment making for the first time a connection of its intrinsic characteristics with physical geometrical dimensions and therefore demonstrating that the physical electron charge cannot be dimensionless. We show that the fine structure constant (FSC) α, and anomalous magnetic moment αμ of the electron is related to the sphericity of its charge distribution which is not perfectly spherical and thus has a shape, and therefore its self-confined charge possesses measurable physical dimensions. We also explain why these are not yet able to be measured by past and current experiments and how possible we could succeed.