A new view on quantum electrodynamics

TL;DR

This paper offers a novel formulation of quantum electrodynamics by representing electrons with two interconnected bispinors and reformulating field equations in terms of c-numbers, providing new insights into electron structure and lepton mass spectrum.

Contribution

It introduces a new theoretical framework for QED with dual bispinors and reformulated equations, enabling analysis of electron size and lepton mass spectrum.

Findings

Electron described by two interconnected bispinors.

Reformulated equations in terms of c-numbers.

Potential to determine lepton mass spectrum.

Abstract

We analyze the equations of quantum electrodynamics and establish that the electron must be described by two bispinors that satisfy two mutually connected Dirac equations. The equations of the electronic and electromagnetic fields are reformulated in terms of c-numbers, which enables one to elucidate the structure of the electron. Although the equations obtained allow only for numerical solution, some characteristics of the electron, in particular its size, can be found at this stage. It is shown also that the Dirac equation should, instead of the mass of the electron, contain a combination involving the electron Compton wavelength. In this case the equations obtained can be used not only for the description of the electron but also for the description of other leptons, which will allow one to find the mass spectrum of leptons.