Authors: Giuliano Bettini
Following Hestenes and others we explore the possibility that the electron is a (sort of) bound electromagnetic wave. To do this a waveguide analogy is considered. The E, H field components in waveguide satisfy the second order Klein Gordon equation. The question is if a (first order) Dirac equation is involved. Making use of Clifford Algebra, by first it is shown that a spinor ψ satisfying Dirac equation describes, trough the relativistic energy impulse four vector, the energy propagation of the electromagnetic field into a waveguide and in free space. At the same time ψ automatically describes TE and TM modes (TEM in free space), each with Right or Left polarization. It is shown that this description with Dirac equation has been implicit in the waveguide theory all the time. The equivalence is embedded in the usual V and I mode description . The Dirac equation for TE, TM modes opens new interesting interpretations. For example the effect on ψ of a gauge transformation with the electromagnetic gauge group generator ( iσ3 in the Hestenes notation ) is readily interpreted as a modification of the TE, TM group velocity. This acts as the electromagnetic force on a charge, and requires two opposite sign of (fictitious) charges for TE or TM. Obviously this suggest an analogy with electron, positron and possibly neutrino for the TEM.
Comments: 51 pages, V1 and v3 in Italian, V2 and v4 in English, (slightly amended, corrected formula (123)) .
Unique-IP document downloads: 651 times
Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.