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

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
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
NOV
preprint

The Runaway's Timescale: The Classical Electron's Assumed Step, Priced

William Alexander Aldred
3 links
Zenodo (CERN European Organization for Nuclear Research)
Quantum and Classical Electrodynamics
preprint

The Runaway's Timescale: The Classical Electron's Assumed Step, Priced

William Alexander Aldred
preprint en

Abstract

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.

Zenodo (CERN European Organization for Nuclear Research)
Quantum and Classical Electrodynamics
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Laika access coming soon