Utilize este identificador para referenciar este registo: http://hdl.handle.net/10400.3/2928
Título: Numerical Uncertainty and Its Implications
Autor: Rodrigues, António F.
Martins, Nuno O.
Palavras-chave: Geometry
Algebra
Numerical Uncertainty
Fine Structure Constant and Physical Uncertainty
Data: Fev-2014
Editora: Scientific Research Publishing
Citação: Rodrigues, António F.; Martins, Nuno O. (2014). "Numerical Uncertainty and Its Implications", Journal of Applied Mathematics and Physics, 2(3), 33-44. http://dx.doi.org/10.4236/jamp.2014.23004.
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.
Descrição: Copyright © 2014 António F. Rodrigues, Nuno O. Martins. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. In accordance of the Creative Commons Attribution License all Copyrights © 2014 are reserved for SCIRP and the owner of the intellectual property António F. Rodrigues, Nuno O. Martins. All Copyright © 2014 are guarded by law and by SCIRP as a guardian.
Peer review: yes
URI: http://hdl.handle.net/10400.3/2928
ISSN: 2327-4352 (Print)
2327-4379 (Online)
Versão do Editor: http://dx.doi.org/10.4236/jamp.2014.23004
Aparece nas colecções:DGST - Artigos em Revistas Internacionais / Articles in International Journals

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