Zitterbewegung structure in electrons and photons

Abstract

The Dirac equation is reinterpreted as a constitutive equation for singularities in the electromagnetic vacuum, with the electron as a point singularity on a lightlike toroidal vortex. The diameter of the vortex is a Compton wavelength and its thickness is given by the electron's anomalous magnetic moment. The photon is modeled as an electron-positron pair trapped in a vortex with energy proportional to the photon frequency. The possibility that all elementary particles are composed of similar vortices is discussed.

Multi-folds, Non-Commutative Spacetime, Spin, and All That

“…The invocation of Compton wavelength and wider than point like structure in the earlier discussion is consistent with our model of particles as microscopic black hole that emulate 7D induced geometric solitons as massless Higgs patterns, at energies above the scales of the multi-fold gravity electroweak symmetry breaking, and as superconducting Qballs of Higgs condensates below [1,4,29,33,34,36,37,63,81]. It is interesting that [91] models of the electron zitterbewegung is also related to the Higgs field, something that the multi-fold particle can relate to [4,35]. And even with the challenges of the photon model [91,92], the Higgs structure aligns also.…”

“…Despite the clever proposal of de Broglie [91,92], we note also that bosons (massless or massive) have no zitterbewegung [93], which is demanded by (**), and therefore no effect from a non-commutative spacetime à la (**), aka [88,111]. That is why it is purely a fermionic concept.…”

“…It is interesting that [91] models of the electron zitterbewegung is also related to the Higgs field, something that the multi-fold particle can relate to [4,35]. And even with the challenges of the photon model [91,92], the Higgs structure aligns also. The Higgs provides the pattern or condensate giving mass to the particles.…”

“…With the multi-fold W-type hypothesis, we can also investigate an interpretation of the meaning of wavefunction rotation, and zitterbewegung of massive fermions: the multi-fold W-type hypothesis jumps across the wavefunction support domain can follow a pattern that is associated to an angular momentum. We also note that the explanation based on just zitterbewegung may not be sufficient as bosons and massless fermions do not present zitterbewegung [89,91].…”

Quantum Hydrodynamics of Spinning Particles in Electromagnetic and Torsion Fields

“…In this paper, we for the first time developed the quantum hydrodynamics for the many-particle system of massive Dirac fermion spin-1/2 particles interacting with external electromagnetic, metric gravitational/inertial and torsion fields. This essentially extends the single-particle quantum hydrodynamical approach which was developed for the flat spacetime, see [71][72][73][74][75][76] and the references therein. Taking as the basis of the earlier general formalism [19], the consistent hydrodynamical formulation was constructed for the manyparticle quantum system of fermions, and the explicit relations between the microscopic and macroscopic fluid variables were derived with help of the Madelung decomposition approach.…”