Helmholtz theorem and the V-Gauge in the problem of superluminal and instantaneous signals in classical electrodynamics

In this work we substantiate the applying of the Helmholtz vector decomposition theorem (H-theorem) to vector fields in classical electrodynamics. Using the H-theorem, within the framework of the twoparameter Lorentz-like gauge (so called v-gauge), we show that two kinds of magnetic vector potential...

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Autores: Chubykalo, Andrew, Espinoza, Augusto, Alvarado Flores, Rolando, Gutiérrez Rodríguez, Alejandro
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2006
País:México
Recursos:Universidad Autónoma de Zacatecas
Repositório:Repositorio Institucional Caxcán
Idioma:inglês
OAI Identifier:oai:http://ricaxcan.uaz.edu.mx:20.500.11845/516
Acesso em linha:http://hdl.handle.net/20.500.11845/516
https://doi.org/10.48779/88r6-ww76
Access Level:Acceso aberto
Palavra-chave:CIENCIAS FISICO MATEMATICAS Y CIENCIAS DE LA TIERRA [1]
Helmholtz theorem
v-gauge
electromagnetic potentials
electromagnetic waves
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spelling Helmholtz theorem and the V-Gauge in the problem of superluminal and instantaneous signals in classical electrodynamicsChubykalo, AndrewEspinoza, AugustoAlvarado Flores, RolandoGutiérrez Rodríguez, AlejandroCIENCIAS FISICO MATEMATICAS Y CIENCIAS DE LA TIERRA [1]Helmholtz theoremv-gaugeelectromagnetic potentialselectromagnetic wavesIn this work we substantiate the applying of the Helmholtz vector decomposition theorem (H-theorem) to vector fields in classical electrodynamics. Using the H-theorem, within the framework of the twoparameter Lorentz-like gauge (so called v-gauge), we show that two kinds of magnetic vector potentials exist: one of them (solenoidal) can act exclusively with the velocity of light c and the other one (irrotational) with an arbitrary finite velocity v (including a velocity more than c) . We show also that the irrotational component of the electric field has a physical meaning and can propagate exclusively instantaneously.Foundations of Physics Lettershttps://orcid.org/0000-0001-5324-1834https://orcid.org/0000-0002-1478-79462018-06-08T19:31:15Z2018-06-08T19:31:15Z2006-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfinfo:eu-repo/semantics/publishedVersion1572-95240894-9875http://hdl.handle.net/20.500.11845/516https://doi.org/10.48779/88r6-ww76Foundations of Physics Letters, Vol. 19, Núm. 1, Febrero 2006reponame:Repositorio Institucional Caxcáninstname:Universidad Autónoma de Zacatecasinstacron:UAZenghttps://link.springer.com/article/10.1007/s10702-006-1847-ygeneralPublicGlobalAtribución-NoComercial-CompartirIgual 3.0 Estados Unidos de Américahttp://creativecommons.org/licenses/by-nc-sa/3.0/us/info:eu-repo/semantics/openAccessoai:http://ricaxcan.uaz.edu.mx:20.500.11845/5162024-08-28T03:20:03Z
dc.title.none.fl_str_mv Helmholtz theorem and the V-Gauge in the problem of superluminal and instantaneous signals in classical electrodynamics
title Helmholtz theorem and the V-Gauge in the problem of superluminal and instantaneous signals in classical electrodynamics
spellingShingle Helmholtz theorem and the V-Gauge in the problem of superluminal and instantaneous signals in classical electrodynamics
Chubykalo, Andrew
CIENCIAS FISICO MATEMATICAS Y CIENCIAS DE LA TIERRA [1]
Helmholtz theorem
v-gauge
electromagnetic potentials
electromagnetic waves
title_short Helmholtz theorem and the V-Gauge in the problem of superluminal and instantaneous signals in classical electrodynamics
title_full Helmholtz theorem and the V-Gauge in the problem of superluminal and instantaneous signals in classical electrodynamics
title_fullStr Helmholtz theorem and the V-Gauge in the problem of superluminal and instantaneous signals in classical electrodynamics
title_full_unstemmed Helmholtz theorem and the V-Gauge in the problem of superluminal and instantaneous signals in classical electrodynamics
title_sort Helmholtz theorem and the V-Gauge in the problem of superluminal and instantaneous signals in classical electrodynamics
dc.creator.none.fl_str_mv Chubykalo, Andrew
Espinoza, Augusto
Alvarado Flores, Rolando
Gutiérrez Rodríguez, Alejandro
author Chubykalo, Andrew
author_facet Chubykalo, Andrew
Espinoza, Augusto
Alvarado Flores, Rolando
Gutiérrez Rodríguez, Alejandro
author_role author
author2 Espinoza, Augusto
Alvarado Flores, Rolando
Gutiérrez Rodríguez, Alejandro
author2_role author
author
author
dc.contributor.none.fl_str_mv https://orcid.org/0000-0001-5324-1834
https://orcid.org/0000-0002-1478-7946
dc.subject.none.fl_str_mv CIENCIAS FISICO MATEMATICAS Y CIENCIAS DE LA TIERRA [1]
Helmholtz theorem
v-gauge
electromagnetic potentials
electromagnetic waves
topic CIENCIAS FISICO MATEMATICAS Y CIENCIAS DE LA TIERRA [1]
Helmholtz theorem
v-gauge
electromagnetic potentials
electromagnetic waves
description In this work we substantiate the applying of the Helmholtz vector decomposition theorem (H-theorem) to vector fields in classical electrodynamics. Using the H-theorem, within the framework of the twoparameter Lorentz-like gauge (so called v-gauge), we show that two kinds of magnetic vector potentials exist: one of them (solenoidal) can act exclusively with the velocity of light c and the other one (irrotational) with an arbitrary finite velocity v (including a velocity more than c) . We show also that the irrotational component of the electric field has a physical meaning and can propagate exclusively instantaneously.
publishDate 2006
dc.date.none.fl_str_mv 2006-02
2018-06-08T19:31:15Z
2018-06-08T19:31:15Z
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv info:eu-repo/semantics/publishedVersion
1572-9524
0894-9875
http://hdl.handle.net/20.500.11845/516
https://doi.org/10.48779/88r6-ww76
identifier_str_mv info:eu-repo/semantics/publishedVersion
1572-9524
0894-9875
url http://hdl.handle.net/20.500.11845/516
https://doi.org/10.48779/88r6-ww76
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://link.springer.com/article/10.1007/s10702-006-1847-y
generalPublic
dc.rights.none.fl_str_mv Atribución-NoComercial-CompartirIgual 3.0 Estados Unidos de América
http://creativecommons.org/licenses/by-nc-sa/3.0/us/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial-CompartirIgual 3.0 Estados Unidos de América
http://creativecommons.org/licenses/by-nc-sa/3.0/us/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.coverage.none.fl_str_mv Global
dc.publisher.none.fl_str_mv Foundations of Physics Letters
publisher.none.fl_str_mv Foundations of Physics Letters
dc.source.none.fl_str_mv Foundations of Physics Letters, Vol. 19, Núm. 1, Febrero 2006
reponame:Repositorio Institucional Caxcán
instname:Universidad Autónoma de Zacatecas
instacron:UAZ
instname_str Universidad Autónoma de Zacatecas
instacron_str UAZ
institution UAZ
reponame_str Repositorio Institucional Caxcán
collection Repositorio Institucional Caxcán
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.811543

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