The Abraham-Lorentz force and electrodynamics at the classical electron radius

Janos Polonyi

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The Abraham-Lorentz force and electrodynamics at the classical electron radius

Janos Polonyi

High Energy Physics - Theory · Submitted 15 Jan 2017

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim The classical language can be reconciled with QED by pointing out that the effective quantum theory for the electric charge supports a saddle point producing the classical radiation reaction forces.

how it is stated · asserted 0.70 read the record →

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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,162 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.38 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.18 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v4. Results and the main claim are underlined; show every role.

The Abraham-Lorentz force is a finite remnant of the UV singular structure of the self interaction of a point charge with its own field. The satisfactory description of such interaction needs a relativistic regulator. This turns out to be a problematic point because the energy of regulated relativistic cutoff theories is unbounded from below. However one can construct point splitting regulators which keep the Abraham-Lorentz force stable. The classical language can be reconciled with QED by pointing out that the effective quantum theory for the electric charge supports a saddle point producing the classical radiation reaction forces.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	The Abraham-Lorentz force is a finite remnant of the UV singular structure of the self interaction of a point charge with its own field.	background 0.79	0.21	0.19	asserted 1.00
s1	The satisfactory description of such interaction needs a relativistic regulator.	background 0.86	0.11	0.05	asserted 1.00
s2	This turns out to be a problematic point because the energy of regulated relativistic cutoff theories is unbounded from below.	background 0.70	0.23	0.06	asserted 0.99
s3	However one can construct point splitting regulators which keep the Abraham-Lorentz force stable.	contribution 0.44	0.56	0.23	asserted 0.80
s4	The classical language can be reconciled with QED by pointing out that the effective quantum theory for the electric charge supports a saddle point producing the classical radiation reaction forces.	interpretation 0.84	0.55	0.58	asserted 0.70

What kind of paper the classifier reports this is: theoretical result 0.92 · evidence from argument 0.57.

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arXiv listing abstract v4

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full text
figures and tables
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S sections
T body sentences
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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

The Abraham-Lorentz force is a finite remnant of the UV singular structure of the self interaction of a point charge with its own field. The satisfactory description of such interaction needs a relativistic regulator. This turns out to be a problematic point because the energy of regulated relativistic cutoff theories is unbounded from below. However one can construct point splitting regulators which keep the Abraham-Lorentz force stable. The classical language can be reconciled with QED by pointing out that the effective quantum theory for the electric charge supports a saddle point producing the classical radiation reaction forces.

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6 arXiv papers cite this in 8 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 6 sentences without a confident label

Cites it as background 2 papers

There are many papers on the 4/3 problem [ref] , as well as other studies cited in these works.

Conclusions Not Yet Drawn from the Unsolved 4/3-Problem -- How to Get a Stable Classical Electron · Conclusions from the Problems · 0.99
We refer the reader to discussions in [ref] .] The projectors $P^μνρσ$ and $Q^μνρσ$ used in Eq. [ref] are defined as [equation] This structure guarantees that $k_μJ^μν_1J_1^ρσ= 0$.

Generalised global symmetries in states with dynamical defects: the case of the transverse sound in field theory and holography · The spectrum of the transverse $J^μν_1J_1^ρσ_R$ at zero density and zero temperature, $ρ= 0$ and $T = 0$ · 0.86

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