The Electron as a Non-Perturbative Toroidal Soliton

This paper proposes a deterministic, non-perturbative model of the electron as a topologically protected toroidal soliton within the Euler–Heisenberg vacuum. By deriving mass from rotational inertia and spin from phase-closure resonance, the model provides a mechanical foundation for quantum properties. We derive the electron g-factor as a geometric invariant of dual-axis circulation and identify the fine-structure constant as a stability parameter for radiative confinement. Most significantly, we propose an experimental test involving structural diffraction divergence in high-gradient fields (Gold vs. Silicon) to distinguish the toroidal soliton from the standard point-particle model.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-01-09
DOI
https://doi.org/10.5281/zenodo.18197213
Primary Topic
Quantum Electrodynamics and Casimir Effect
Type
article
Field-Weighted Citation Impact
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article

The Electron as a Non-Perturbative Toroidal Soliton

Ashaz Ashaz Rahman
Zenodo (CERN European Organization for Nuclear Research)
Quantum Electrodynamics and Casimir Effect
article

The Electron as a Non-Perturbative Toroidal Soliton

Ashaz Ashaz Rahman
article en

Abstract

This paper proposes a deterministic, non-perturbative model of the electron as a topologically protected toroidal soliton within the Euler–Heisenberg vacuum. By deriving mass from rotational inertia and spin from phase-closure resonance, the model provides a mechanical foundation for quantum properties. We derive the electron g-factor as a geometric invariant of dual-axis circulation and identify the fine-structure constant as a stability parameter for radiative confinement. Most significantly, we propose an experimental test involving structural diffraction divergence in high-gradient fields (Gold vs. Silicon) to distinguish the toroidal soliton from the standard point-particle model.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 90%
Quantum Electrodynamics and Casimir Effect
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The Electron as a Non-Perturbative Toroidal Soliton — Ashaz Ashaz Rahman · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS