Using our recently published electron’s charge electromagnetic flux manifold fiber model of the electron, described by analytical method and numerical simulations,we show the physical origin of the fine structure constant dimensionless value and how it is embedded as a geometrical proportionality constant in three dimensional space of the electron 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 the electron intrinsic characteristics with physical geometrical dimensions and therefore demonstrating that the physical electron charge cannot be dimensionless but has finite dimensions at rest. We show that the fine structure constant (FSC) α, and anomalous magnetic moment of the electron α(μ) is related to the sphericity of its charge distribution which is not perfectly spherical all around and has a complex shape, thus an electric oblate quadrupole moment 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 evaded detection by our instruments and how possiblewe could succeed. Lastly, we show how the electron charge can be translated to a twisted spin Compton wavelength physically relativistically spinning photon.