A Point-Coincident N-Mass Swarm as a Deterministic Toy Model for Electron Detection: A Variant of Zitterbewegung -Type Models

Wael M. H. Ghanem

Published Sep 19, 2026• 0 citations

Abstract

We present a fully formulated variant of Zitterbewegung-type composite models in which the electron is modeled as N distinct mass-entities qi sharing a common spatial point xi(t) = xe(t) and a common de Broglie clock f0 = me c^2 / h. Unlike de Broglie's original single-clock hypothesis with a single wavelength lambda = h/p, we retain fi = f0 for all i but allow distinct masses mi = mj with ∑︁ mi = me. Consequently each sub-entity carries a different momentum pi = mi * ve and wavelength lambda_i = h / pi. Detection randomness is reduced to which qi delivers its momentum to the detector, while constant scintillation energy follows from conservation of f0. We discuss binding, Lorentz invariance, cooling, and open problems. To our knowledge this point-coincident multi-wavelength clock has not been formulated in this exact form.

DOI: 10.5281/zenodo.22840894

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