The Runaway's Timescale: The Classical Electron's Assumed Step, Priced
Classical electromagnetism's electron carries a wound it has carried since Abraham and Lorentz: a point charge's self-energy diverges, a finite charge's self-energy must be added to its mass by hand, and the radiation-reaction equation built to balance the books — the Abraham–Lorentz equation — admits runaway solutions that accelerate forever and pre-acceleration solutions that respond before the force arrives. This paper evaluates the assumed step at the wound's center with scripted compute: the theory assumes a charge distribution whose size it never derives, and every pathology timescale is that assumed size worn as a time. The runaway e-folds on τ₀ = 6.266425×10⁻²⁴ s. The frame's own grain — the sever's cell time τ_cell = 2.216789×10⁻²⁴ s, owned by an unrelated line of work — sits a factor of 2.826803 below it. That proximity is printed as a correlation to be investigated, not a derivation, and the paper claims nothing more.
Authors
- William Alexander Aldred
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-11-06
- DOI
- https://doi.org/10.5281/zenodo.24013665
- Primary Topic
- Quantum and Classical Electrodynamics
- Type
- preprint