The fourth dimension: from its spatial nature in Euclidean geometry to a time-like component of non-Euclidean manifolds

Detalhes bibliográficos
Autor(a) principal: Bassalo,José Maria Filardo
Data de Publicação: 2021
Outros Autores: Caruso,Francisco, Oguri,Vitor
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Revista Brasileira de Ensino de Física (Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172021000100435
Resumo: In this article, the evolution of the ideas about the fourth spatial dimension is presented, starting from those which come out within classical Euclidean geometry and going through those arose in the framework of non-Euclidean geometries, like those of Riemann and Minkowski. Particular attention is given to the moment when real time is effectively considered as a fourth dimension, as introduced by Einstein.
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spelling The fourth dimension: from its spatial nature in Euclidean geometry to a time-like component of non-Euclidean manifoldsFourth DimensionSpacenon-Euclidian GeometryHistory of GeometryHistory of PhysicsIn this article, the evolution of the ideas about the fourth spatial dimension is presented, starting from those which come out within classical Euclidean geometry and going through those arose in the framework of non-Euclidean geometries, like those of Riemann and Minkowski. Particular attention is given to the moment when real time is effectively considered as a fourth dimension, as introduced by Einstein.Sociedade Brasileira de Física2021-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172021000100435Revista Brasileira de Ensino de Física v.43 2021reponame:Revista Brasileira de Ensino de Física (Online)instname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/1806-9126-rbef-2021-0034info:eu-repo/semantics/openAccessBassalo,José Maria FilardoCaruso,FranciscoOguri,Vitoreng2021-04-22T00:00:00Zoai:scielo:S1806-11172021000100435Revistahttp://www.sbfisica.org.br/rbef/https://old.scielo.br/oai/scielo-oai.php||marcio@sbfisica.org.br1806-91261806-1117opendoar:2021-04-22T00:00Revista Brasileira de Ensino de Física (Online) - Sociedade Brasileira de Física (SBF)false
dc.title.none.fl_str_mv The fourth dimension: from its spatial nature in Euclidean geometry to a time-like component of non-Euclidean manifolds
title The fourth dimension: from its spatial nature in Euclidean geometry to a time-like component of non-Euclidean manifolds
spellingShingle The fourth dimension: from its spatial nature in Euclidean geometry to a time-like component of non-Euclidean manifolds
Bassalo,José Maria Filardo
Fourth Dimension
Space
non-Euclidian Geometry
History of Geometry
History of Physics
title_short The fourth dimension: from its spatial nature in Euclidean geometry to a time-like component of non-Euclidean manifolds
title_full The fourth dimension: from its spatial nature in Euclidean geometry to a time-like component of non-Euclidean manifolds
title_fullStr The fourth dimension: from its spatial nature in Euclidean geometry to a time-like component of non-Euclidean manifolds
title_full_unstemmed The fourth dimension: from its spatial nature in Euclidean geometry to a time-like component of non-Euclidean manifolds
title_sort The fourth dimension: from its spatial nature in Euclidean geometry to a time-like component of non-Euclidean manifolds
author Bassalo,José Maria Filardo
author_facet Bassalo,José Maria Filardo
Caruso,Francisco
Oguri,Vitor
author_role author
author2 Caruso,Francisco
Oguri,Vitor
author2_role author
author
dc.contributor.author.fl_str_mv Bassalo,José Maria Filardo
Caruso,Francisco
Oguri,Vitor
dc.subject.por.fl_str_mv Fourth Dimension
Space
non-Euclidian Geometry
History of Geometry
History of Physics
topic Fourth Dimension
Space
non-Euclidian Geometry
History of Geometry
History of Physics
description In this article, the evolution of the ideas about the fourth spatial dimension is presented, starting from those which come out within classical Euclidean geometry and going through those arose in the framework of non-Euclidean geometries, like those of Riemann and Minkowski. Particular attention is given to the moment when real time is effectively considered as a fourth dimension, as introduced by Einstein.
publishDate 2021
dc.date.none.fl_str_mv 2021-01-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172021000100435
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172021000100435
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/1806-9126-rbef-2021-0034
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Física
publisher.none.fl_str_mv Sociedade Brasileira de Física
dc.source.none.fl_str_mv Revista Brasileira de Ensino de Física v.43 2021
reponame:Revista Brasileira de Ensino de Física (Online)
instname:Sociedade Brasileira de Física (SBF)
instacron:SBF
instname_str Sociedade Brasileira de Física (SBF)
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reponame_str Revista Brasileira de Ensino de Física (Online)
collection Revista Brasileira de Ensino de Física (Online)
repository.name.fl_str_mv Revista Brasileira de Ensino de Física (Online) - Sociedade Brasileira de Física (SBF)
repository.mail.fl_str_mv ||marcio@sbfisica.org.br
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