PreprintCC BY 4.0HAL
A Yukawa-Thirring theory of electronic soliton
Abstract
Relativistic quantum mechanics and quantum electrodynamics (QED) give two different sizes for the electron: infinite for the first one and zero for the second one, which is an issue in every case. In a previous article we have made the assumption of a soliton theory of the electron, by the necessity to give it a finite size. Purely geometrical model such as Soler, Gross-Neveu or Thirring involved arbitrary constants and have an undetermined origin. However, in a Yukawa potential model, we are able to recover an almost unperturbed Hydrogen spectra, involving a near field scalar force, emerging from the electronic spinor density itself.
Related
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BibTeX
@misc{loiselet2026yukawathirring,
title = {{A Yukawa-Thirring theory of electronic soliton}},
author = {Ophelliam Loiselet},
howpublished = {HAL},
year = {2026},
month = sep,
url = {https://hal.science/hal-05760652v1},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - A Yukawa-Thirring theory of electronic soliton
AU - Ophelliam Loiselet
PY - 2026
DA - 2026/09/23
PB - HAL
UR - https://hal.science/hal-05760652v1
AB - Relativistic quantum mechanics and quantum electrodynamics (QED) give two different sizes for the electron: infinite for the first one and zero for the second one, which is an issue in every case. In a previous article we have made the assumption of a soliton theory of the electron, by the necessity to give it a finite size. Purely geometrical model such as Soler, Gross-Neveu or Thirring involved arbitrary constants and have an undetermined origin. However, in a Yukawa potential model, we are able to recover an almost unperturbed Hydrogen spectra, involving a near field scalar force, emerging from the electronic spinor density itself.
ER -