The Electron is a Charged Photon

ORAL

Abstract

The Dirac equation's relativistic electron is modeled as a helically-circulating charged photon whose helical radius at low electron speeds is the Dirac equation's electron amplitude $hbar/2mc$. The helically-circulating charged photon's longitudinal or $z$-component of velocity equals the velocity of the electron. The electron's relativistic energy-momentum equation $E^{2}=p^{2}c^{2}+m^{2}c^{4}$ corresponds the helically-circulating charged photon's energy $E=\gamma mc^{2}=h\nu $ with the charged photon's total momentum $p_{total} =\gamma mc$, its longitudinal momentum component $p=\gamma mv$ (the electron's linear momentum) and its transverse momentum component $p_{trans} =mc$. The charged photon's circulating transverse momentum component $p_{trans} =mc$, acting at the charged photon's helical radius $hbar/2mc$, generates the spin-up and spin-down $z$-components $\pm hbar/2$ of a slowly-moving electron's spin. The relativistic de Broglie wavelength $h/\gamma mv$ of the electron is easily calculated from the longitudinal component of the circulating charged-photon's wave vector $\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\rightharpoonup$}}\over {k}} $.

Authors

  • Richard Gauthier

    Santa Rosa Junior College