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Teoria da Relatividade: I - Fundamentos Epistemológicos II - Fundamentos Matemáticos by Capiberibe Nunes, Ricardo

Teoria da Relatividade: I - Fundamentos Epistemológicos II - Fundamentos Matemáticos

by Ricardo Capiberibe Nunes
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Book cover type: Paperback
  • ISBN13: 9798700379267
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Independently Published
  • Publisher Imprint: Independently Published
  • Publication Date:
  • Pages: 362
  • Original Price: USD 40.0
  • Language: Portuguese
  • Edition: N/A
  • Item Weight: 486 grams
  • BISAC Subject(s): Physics / Relativity

A Teoria da Relatividade reformulou não apenas os paradigmas da física, mas os paradigmas da matemática. A descoberta das geometrias não-euclidianas, como a de Lobachevsky, levaram os pesquisadores do século XIX, a buscarem teorias físicas alternativas que incluíam essas geometrias e a questionar qual seria a geometria do nosso universo. O emérito matemático Henri Poincaré, deu importantes contribuições nesse campo e declarou que não existe uma geometria mais verdadeira que a outra, apenas uma geometria mais cômoda. Essas ideias, que compõe uma doutrina da física e da matemática chamada de Convencionalismo, levariam Poincaré e Einstein a formularem o Princípio da Relatividade. Embora Poincaré acreditasse que a geometria mais cômoda sempre seria a euclidiana, devido à nossa experiência diária, o próprio Poincaré e, posteriormente, Minkowski, mostraram que a geometria mais cômoda do espaço-tempo é a geometria hiperbólica.A análise dessa variedade levou a criação do estudo dos espaços pseudo-métricos. Pseudo porque as noções usuais de norma, distância e desigualdade de Schwarz não se aplicam de forma convencional, por isso dizemos que o espaço-tempo de Poincaré-Minkowski é um espaço pseudo-euclidiano. Atualmente, a análise dessas variedades permite extrair propriedades gerais e que sobre condições particulares geram o espaço-tempo de Poincaré-Minkowski. Registre que esse é um caso em que os desenvolvimentos da física levaram aos matemáticos buscarem uma descrição abstrata da nova estrutura.Nesse livro, buscamos caracterizar matematicamente o espaço-tempo sobre o qual se desenrola a física relativística, instrumentalizando o leitor para tratar problemas físico-matemáticos que surgem no desenvolvimento e no estudo da Relatividade.

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