On the symmetries of electrodynamic interactions

Autores
Solari, Hernan Gustavo; Natiello, Mario A.
Año de publicación
2022
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The development of relational electromagnetism after Gauss appears to stop around 1870. Maxwell recognised relational electromagnetism as mathematically equivalent to his own formulae and called for an explanation of why so different conceptions have such a large part in common. We reconstruct relational electromagnetism guided by the No Arbitrariness Principle. Lorenz’ idea of electromagnetic waves, together with the “least action principle” proposed by Lorentz are enough to derive Maxwell’s equations, the continuity equation and the Lorentz’ force. We show that there must be two more symmetries in electromagnetism: a descriptive one expressing source/detector relations, and another relating perceptions of the same source by detectors moving with different (constant) relative velocities. The Poincaré group relates perceived fields by different receivers and Lorentz boosts relate source/detector perceptions. We answer Maxwell’s philosophical question showing how similar theories can be abduced using different inferred entities. Each form of abduction implies an interpretation and a facilitation of the theoretical construction.
Fil: Solari, Hernan Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
Fil: Natiello, Mario A.. Lund University; Suecia
Materia
CRITICAL EPISTEMOLOGY
RATIONALISM
RELATIONAL ELECTROMAGNETISM
LORENTZ TRANSFORMATIONS
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/215577
Acceder
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network_name_str CONICET Digital (CONICET)
spelling On the symmetries of electrodynamic interactionsSolari, Hernan GustavoNatiello, Mario A.CRITICAL EPISTEMOLOGYRATIONALISMRELATIONAL ELECTROMAGNETISMLORENTZ TRANSFORMATIONShttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1The development of relational electromagnetism after Gauss appears to stop around 1870. Maxwell recognised relational electromagnetism as mathematically equivalent to his own formulae and called for an explanation of why so different conceptions have such a large part in common. We reconstruct relational electromagnetism guided by the No Arbitrariness Principle. Lorenz’ idea of electromagnetic waves, together with the “least action principle” proposed by Lorentz are enough to derive Maxwell’s equations, the continuity equation and the Lorentz’ force. We show that there must be two more symmetries in electromagnetism: a descriptive one expressing source/detector relations, and another relating perceptions of the same source by detectors moving with different (constant) relative velocities. The Poincaré group relates perceived fields by different receivers and Lorentz boosts relate source/detector perceptions. We answer Maxwell’s philosophical question showing how similar theories can be abduced using different inferred entities. Each form of abduction implies an interpretation and a facilitation of the theoretical construction.Fil: Solari, Hernan Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; ArgentinaFil: Natiello, Mario A.. Lund University; SueciaAccademia di Scienze, Lettere, Arti e Tecnologia2022-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/215577Solari, Hernan Gustavo; Natiello, Mario A.; On the symmetries of electrodynamic interactions; Accademia di Scienze, Lettere, Arti e Tecnologia; Science & Philosophy; 10; 2; 12-2022; 1-342282-7765CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.23756/sp.v10i1.811info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/2202.06731info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:03:49Zoai:ri.conicet.gov.ar:11336/215577instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-22 11:03:49.67CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On the symmetries of electrodynamic interactions
title On the symmetries of electrodynamic interactions
spellingShingle On the symmetries of electrodynamic interactions
Solari, Hernan Gustavo
CRITICAL EPISTEMOLOGY
RATIONALISM
RELATIONAL ELECTROMAGNETISM
LORENTZ TRANSFORMATIONS
title_short On the symmetries of electrodynamic interactions
title_full On the symmetries of electrodynamic interactions
title_fullStr On the symmetries of electrodynamic interactions
title_full_unstemmed On the symmetries of electrodynamic interactions
title_sort On the symmetries of electrodynamic interactions
dc.creator.none.fl_str_mv Solari, Hernan Gustavo
Natiello, Mario A.
author Solari, Hernan Gustavo
author_facet Solari, Hernan Gustavo
Natiello, Mario A.
author_role author
author2 Natiello, Mario A.
author2_role author
dc.subject.none.fl_str_mv CRITICAL EPISTEMOLOGY
RATIONALISM
RELATIONAL ELECTROMAGNETISM
LORENTZ TRANSFORMATIONS
topic CRITICAL EPISTEMOLOGY
RATIONALISM
RELATIONAL ELECTROMAGNETISM
LORENTZ TRANSFORMATIONS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv The development of relational electromagnetism after Gauss appears to stop around 1870. Maxwell recognised relational electromagnetism as mathematically equivalent to his own formulae and called for an explanation of why so different conceptions have such a large part in common. We reconstruct relational electromagnetism guided by the No Arbitrariness Principle. Lorenz’ idea of electromagnetic waves, together with the “least action principle” proposed by Lorentz are enough to derive Maxwell’s equations, the continuity equation and the Lorentz’ force. We show that there must be two more symmetries in electromagnetism: a descriptive one expressing source/detector relations, and another relating perceptions of the same source by detectors moving with different (constant) relative velocities. The Poincaré group relates perceived fields by different receivers and Lorentz boosts relate source/detector perceptions. We answer Maxwell’s philosophical question showing how similar theories can be abduced using different inferred entities. Each form of abduction implies an interpretation and a facilitation of the theoretical construction.
Fil: Solari, Hernan Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
Fil: Natiello, Mario A.. Lund University; Suecia
description The development of relational electromagnetism after Gauss appears to stop around 1870. Maxwell recognised relational electromagnetism as mathematically equivalent to his own formulae and called for an explanation of why so different conceptions have such a large part in common. We reconstruct relational electromagnetism guided by the No Arbitrariness Principle. Lorenz’ idea of electromagnetic waves, together with the “least action principle” proposed by Lorentz are enough to derive Maxwell’s equations, the continuity equation and the Lorentz’ force. We show that there must be two more symmetries in electromagnetism: a descriptive one expressing source/detector relations, and another relating perceptions of the same source by detectors moving with different (constant) relative velocities. The Poincaré group relates perceived fields by different receivers and Lorentz boosts relate source/detector perceptions. We answer Maxwell’s philosophical question showing how similar theories can be abduced using different inferred entities. Each form of abduction implies an interpretation and a facilitation of the theoretical construction.
publishDate 2022
dc.date.none.fl_str_mv 2022-12
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/215577
Solari, Hernan Gustavo; Natiello, Mario A.; On the symmetries of electrodynamic interactions; Accademia di Scienze, Lettere, Arti e Tecnologia; Science & Philosophy; 10; 2; 12-2022; 1-34
2282-7765
CONICET Digital
CONICET
url http://hdl.handle.net/11336/215577
identifier_str_mv Solari, Hernan Gustavo; Natiello, Mario A.; On the symmetries of electrodynamic interactions; Accademia di Scienze, Lettere, Arti e Tecnologia; Science & Philosophy; 10; 2; 12-2022; 1-34
2282-7765
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.23756/sp.v10i1.811
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/2202.06731
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Accademia di Scienze, Lettere, Arti e Tecnologia
publisher.none.fl_str_mv Accademia di Scienze, Lettere, Arti e Tecnologia
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 12.982451

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