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Type: | Artigo de periódico |

Title: | A Comment On: 'on Some Contradictory Computations In Multi-dimensional Mathematics' |

Author: | Capelas de Oliveira E. Rodrigues Jr. W.A. |

Abstract: | In this paper we analyze the status of some 'unbelievable results' presented in the paper 'On Some Contradictory Computations in Multi-Dimensional Mathematics' [L.A.V. Carvalho, On some contradictory computations in multi-dimensional mathematics, Nonlinear Anal. 63 (2005) 725-734] published in Nonlinear Analysis, a journal indexed in the Science Citation Index. Among some of the unbelievable results 'proved' in the paper we can find statements like: (i) a rotation T θ : R 2 → R 2, θ ≠ n π / 2, is inconsistent with arithmetic, (ii) complex number theory is inconsistent. Besides these 'results' of mathematical nature, [L.A.V. Carvalho, On some contradictory computations in multi-dimensional mathematics, Nonlinear Anal. 63 (2005) 725-734] offers also a 'proof' that Special Relativity is inconsistent. Now, we are left with only two options (a) the results of [L.A.V. Carvalho, On some contradictory computations in multi-dimensional mathematics, Nonlinear Anal. 63 (2005) 725-734] are correct and in this case we need a revolution in Mathematics (and also in Physics) or (b) the paper is a potpourri of nonsense. We show that option (b) is the correct one. All 'proofs' appearing in [L.A.V. Carvalho, On some contradictory computations in multi-dimensional mathematics, Nonlinear Anal. 63 (2005) 725-734] are trivially wrong, being based on a poor knowledge of advanced calculus notions. There are many examples (some of them discussed in [A.L.T. Carvalho, W.A. Rodrigues Jr., The non sequitur mathematics and physics of the 'new electrodynamics' proposed by the AIAS group, Random Oper. Stoch. Equs. 9 (2001) 161-206. http://arxiv.org/abs/physics/0302016; E. Capelas de Oliveira, W.A. Rodrigues Jr., Dotted and undotted algebraic spinor fields in general relativity, Int. J. Mod. Phys. D 13 (2004) 1637-1659. http://arxiv.org/abs/math-ph/0407024; W.A. Rodrigues Jr., E. Capelas de Oliveira, Clifford valued differential forms and some issues on gravitation, electromagnetism and "unified" theories, Int. J. Mod. Phys. D 13 (2004) 1879-1915. http://arxiv.org/abs/math-ph/0407025; W.A. Rodrigues Jr., Q.A.G. Souza, An ambiguous statement called 'tetrad postulate' and the correct field equations satisfied by the tetrad fields, Int. J. Mod. Phys. D 14 (2005) 2095-2150. http://arxiv.org/abs/math-ph/0411085; W.A. Rodrigues Jr., A comment on Emergent Gravity, http://arxiv.org/abs/gr-qc/0602111]) of completely wrong papers using non sequitur Mathematics in the Physics literature. Taking into account also that a paper like [L.A.V. Carvalho, On some contradictory computations in multi-dimensional mathematics, Nonlinear Anal. 63 (2005) 725-734] appeared in a Mathematics journal we think that it is time for editors and referees of scientific journals to become more careful in order to avoid the dissemination of nonsense. © 2006 Elsevier Ltd. All rights reserved. |

Editor: | |

Rights: | fechado |

Identifier DOI: | 10.1016/j.na.2006.08.006 |

Address: | http://www.scopus.com/inward/record.url?eid=2-s2.0-34247472657&partnerID=40&md5=362bf68323af96708f9b85dade27839b |

Date Issue: | 2007 |

Appears in Collections: | Unicamp - Artigos e Outros Documentos |

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2-s2.0-34247472657.pdf | 203.51 kB | Adobe PDF | View/Open |

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