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Numerical uncertainty and its implications

2014Journal article Open access
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dc.contributor.authorRodrigues, António F.
dc.contributor.authorMartins, Nuno O.
dc.date.accessioned2014-06-16T11:19:05Z
dc.date.available2014-06-16T11:19:05Z
dc.date.issued2014
dc.description.abstractA 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.por
dc.description.versioninfo:eu-repo/semantics/publishedVersion
dc.identifier.citationRODRIGUES, António Ferreira; MARTINS, Nuno Miguel Ornelas - Numerical Uncertainty and Its Implications. Journal of Applied Mathematics and Physics. ISSN 2327-4379. Vol. 2 (2014), 33-44por
dc.identifier.doi10.4236/jamp.2014.23004
dc.identifier.urihttp://hdl.handle.net/10400.14/14625
dc.language.isoengpor
dc.peerreviewedyespor
dc.publisherScientific Research Publishing
dc.subjectGeometrypor
dc.subjectAlgebrapor
dc.subjectNumerical uncertaintypor
dc.subjectFine structure constant and physical uncertaintypor
dc.titleNumerical uncertainty and its implicationspor
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage44
oaire.citation.startPage33
oaire.citation.titleJournal of Applied Mathematics and Physics
oaire.citation.volume2
person.familyNameMartins
person.givenNameNuno
person.identifier.ciencia-idDD10-075A-09CC
person.identifier.orcid0000-0001-7966-6435
person.identifier.ridB-6012-2009
person.identifier.scopus-author-id15848805500
rcaap.rightsopenAccesspor
rcaap.typearticlepor
relation.isAuthorOfPublication654e314e-07d8-46de-acb8-18470ab0b9c5
relation.isAuthorOfPublication.latestForDiscovery654e314e-07d8-46de-acb8-18470ab0b9c5

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