Example of negative energy density in a classical electron model

Classical models of the electron have been predicted to have negative rest energy density in certain regions. Using the model of the electron by Blinder we show that there are regions containing negative energy density, although the integral of the energy density over all space gives the electron re...

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Main Author: Nelson Christensen
Format: Article
Language:English
Published: Elsevier 2022-11-01
Series:Heliyon
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2405844022029565
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author Nelson Christensen
author_facet Nelson Christensen
author_sort Nelson Christensen
collection DOAJ
description Classical models of the electron have been predicted to have negative rest energy density in certain regions. Using the model of the electron by Blinder we show that there are regions containing negative energy density, although the integral of the energy density over all space gives the electron rest mass. If the spin of the electron is ignored, then all regions of space have positive energy density with the Blinder model. The existence of Poincaré stress for the Blinder model is also demonstrated. The classical model for the electron discussed here admittedly does not involve quantum electrodynamics, where the infinite self energy is made finite with renormalization methods.
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spelling doaj.art-3929198f63bd49f9a8842869c7f652482022-12-22T02:45:54ZengElsevierHeliyon2405-84402022-11-01811e11668Example of negative energy density in a classical electron modelNelson Christensen0Université Côte d'Azur, Observatoire de la Côte d'Azur, CNRS, Artemis, Nice 06300, France; Physics and Astronomy, Carleton College, Northfield, MN 55057, USA; Correspondence to: Université Côte d'Azur, Observatoire de la Côte d'Azur, CNRS, Artemis, Nice 06300, France.Classical models of the electron have been predicted to have negative rest energy density in certain regions. Using the model of the electron by Blinder we show that there are regions containing negative energy density, although the integral of the energy density over all space gives the electron rest mass. If the spin of the electron is ignored, then all regions of space have positive energy density with the Blinder model. The existence of Poincaré stress for the Blinder model is also demonstrated. The classical model for the electron discussed here admittedly does not involve quantum electrodynamics, where the infinite self energy is made finite with renormalization methods.http://www.sciencedirect.com/science/article/pii/S2405844022029565Classical electron modelsGeneral relativityNegative energy density
spellingShingle Nelson Christensen
Example of negative energy density in a classical electron model
Heliyon
Classical electron models
General relativity
Negative energy density
title Example of negative energy density in a classical electron model
title_full Example of negative energy density in a classical electron model
title_fullStr Example of negative energy density in a classical electron model
title_full_unstemmed Example of negative energy density in a classical electron model
title_short Example of negative energy density in a classical electron model
title_sort example of negative energy density in a classical electron model
topic Classical electron models
General relativity
Negative energy density
url http://www.sciencedirect.com/science/article/pii/S2405844022029565
work_keys_str_mv AT nelsonchristensen exampleofnegativeenergydensityinaclassicalelectronmodel