The Zitterbewegung in the Bivector Standard Model

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Authors: Bryan Sanctuary
Cited by: 2
References: 31

Abstract

We show that the Zitterbewegung of the electron arises as a real internal motion when spin is treated as a classical bivector rather than as a point fermion of the Dirac equation. In the Bivector Standard Model, physically meaningful dynamics reside in the body-fixed frame where two orthogonal internal angular momentum vectors counter-precess about a torque axis. Their rigid rotation generates a time-dependent chord whose magnitude oscillates at twice the Compton frequency, 2ωC, and whose orientation precesses at ωC. When projected into a laboratory-fixed frame, this internal rotor produces the characteristic trembling motion of the Zitterbewegung and traces a horn torus envelope without additional assumptions. The internal clock defined by this cyclic bivector motion unifies the origin of spin properties and the de Broglie modulation. It distinguishes complementary parity domains that cannot be related by Lorentz transformations. The Zitterbewegung is therefore not an interference between positive- and negative-energy spinors, but rather the visible shadow of a real, energy-conserving internal rotation inherent to the bivector structure.

Fields of Study & Subjects

Algebraic and Geometric Analysis Quantum and Classical Electrodynamics Relativity and Gravitational Theory

Publication details

Journal / source
Axioms
Publisher
MDPI AG
Volume
15
Issue
2
Pages
116–116
Publication date
4 February 2026
Language
EN