Numerical uncertainty and its implications
Autor(a) principal: | |
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Data de Publicação: | 2014 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10400.14/14625 |
Resumo: | A scrutiny of the contributions of key mathematicians and scientists shows that there has been much controversy (throughout the development of mathematics and science) concerning the use of mathematics and the nature of mathematics too. In this work, we try to show that arithmetical operations of approximation lead to the existence of a numerical uncertainty, which is quantic, path dependent and also dependent on the number system used, with mathematical and physical implications. When we explore the algebraic equations for the fine structure constant, the conditions exposed in this work generate paradoxical physical conditions, where the solution to the paradox may be in the fact that the fine-structure constant is calculated through different ways in order to ob-tain the same value, but there is no relationship between the fundamental physical processes which underlie the calculations, since we are merely dealing with algebraic relations, despite the expressions having the same physi-cal dimensions. |
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Numerical uncertainty and its implicationsGeometryAlgebraNumerical uncertaintyFine structure constant and physical uncertaintyA scrutiny of the contributions of key mathematicians and scientists shows that there has been much controversy (throughout the development of mathematics and science) concerning the use of mathematics and the nature of mathematics too. In this work, we try to show that arithmetical operations of approximation lead to the existence of a numerical uncertainty, which is quantic, path dependent and also dependent on the number system used, with mathematical and physical implications. When we explore the algebraic equations for the fine structure constant, the conditions exposed in this work generate paradoxical physical conditions, where the solution to the paradox may be in the fact that the fine-structure constant is calculated through different ways in order to ob-tain the same value, but there is no relationship between the fundamental physical processes which underlie the calculations, since we are merely dealing with algebraic relations, despite the expressions having the same physi-cal dimensions.Scientific Research PublishingVeritati - Repositório Institucional da Universidade Católica PortuguesaRodrigues, António F.Martins, Nuno O.2014-06-16T11:19:05Z20142014-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.14/14625engRODRIGUES, António Ferreira; MARTINS, Nuno Miguel Ornelas - Numerical Uncertainty and Its Implications. Journal of Applied Mathematics and Physics. ISSN 2327-4379. Vol. 2 (2014), 33-4410.4236/jamp.2014.23004info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-07-12T17:19:14Zoai:repositorio.ucp.pt:10400.14/14625Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T18:11:43.520247Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
Numerical uncertainty and its implications |
title |
Numerical uncertainty and its implications |
spellingShingle |
Numerical uncertainty and its implications Rodrigues, António F. Geometry Algebra Numerical uncertainty Fine structure constant and physical uncertainty |
title_short |
Numerical uncertainty and its implications |
title_full |
Numerical uncertainty and its implications |
title_fullStr |
Numerical uncertainty and its implications |
title_full_unstemmed |
Numerical uncertainty and its implications |
title_sort |
Numerical uncertainty and its implications |
author |
Rodrigues, António F. |
author_facet |
Rodrigues, António F. Martins, Nuno O. |
author_role |
author |
author2 |
Martins, Nuno O. |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Veritati - Repositório Institucional da Universidade Católica Portuguesa |
dc.contributor.author.fl_str_mv |
Rodrigues, António F. Martins, Nuno O. |
dc.subject.por.fl_str_mv |
Geometry Algebra Numerical uncertainty Fine structure constant and physical uncertainty |
topic |
Geometry Algebra Numerical uncertainty Fine structure constant and physical uncertainty |
description |
A scrutiny of the contributions of key mathematicians and scientists shows that there has been much controversy (throughout the development of mathematics and science) concerning the use of mathematics and the nature of mathematics too. In this work, we try to show that arithmetical operations of approximation lead to the existence of a numerical uncertainty, which is quantic, path dependent and also dependent on the number system used, with mathematical and physical implications. When we explore the algebraic equations for the fine structure constant, the conditions exposed in this work generate paradoxical physical conditions, where the solution to the paradox may be in the fact that the fine-structure constant is calculated through different ways in order to ob-tain the same value, but there is no relationship between the fundamental physical processes which underlie the calculations, since we are merely dealing with algebraic relations, despite the expressions having the same physi-cal dimensions. |
publishDate |
2014 |
dc.date.none.fl_str_mv |
2014-06-16T11:19:05Z 2014 2014-01-01T00:00:00Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10400.14/14625 |
url |
http://hdl.handle.net/10400.14/14625 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
RODRIGUES, António Ferreira; MARTINS, Nuno Miguel Ornelas - Numerical Uncertainty and Its Implications. Journal of Applied Mathematics and Physics. ISSN 2327-4379. Vol. 2 (2014), 33-44 10.4236/jamp.2014.23004 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Scientific Research Publishing |
publisher.none.fl_str_mv |
Scientific Research Publishing |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
instname_str |
Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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1799131793965711360 |