As hipóteses de Poincaré sobre a gravitação

Clair de Luma Capiberibe Nunes; Wellington Pereira de Queirós

doi:10.53727/rbhc.v18i1.1041

Authors

Clair de Luma Capiberibe Nunes Universidade Federal do Mato Grosso do Sul https://orcid.org/0000-0002-6536-3131
Wellington Pereira de Queirós Universidade Federal do Mato Grosso do Sul https://orcid.org/0000-0002-9734-7136

DOI:

https://doi.org/10.53727/rbhc.v18i1.1041

Keywords:

Gravitação, Teoria da Relatividade Especial, História da Ciência, Epistemologia da Ciência, Covariância de Lorentz

Abstract

At the beginning of the 20th century, researchers Henri Poincaré and Albert Einstein instituted the principle of relativity, which attests that the laws of physics should be the same for all inertial observers. One of the consequences of this principle is that no exchange of information can exceed the speed of light in a vacuum. However, in 1825, the physicist-mathematician Pierre Simon Laplace had proved that the speed of propagation of gravitational action should propagate 1 million times faster than the speed of light in vacuum. This fact raised serious doubts and objections to the principle of relativity. While Einstein would only be interested in this question from 1912 onwards, Poincaré studied it carefully and presented the results of his reflection in 1905, in two essays with the same title, Sur La Dynamique de l’Électron. Poincaré showed that it was possible to reconcile the principle of relativity with the law of universal gravitation. In this essay, we carry out a historical study of Poincaré's hypotheses about gravitation, an alternative relativistic theory of gravitation that appeared in 1905, but which ended up being superseded by the General Theory of Relativity. The study of hypotheses on Poincaré's gravitation allows us to understand the process of building scientific knowledge and the various factors that influence the choice of a scientific paradigm.

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References

BROWN, K. Laplace on the speed of gravity. Mathpages. [s.d.]. Disponível em: https://www.mathpages.com/home/kmath690/kmath690.htm. Acesso em: 10 set. 2020.

CATTANI, C.; MARIA, M. Conservation laws and gravitational waves in general relativity (1915-1918). In: EARMAN, J.; JANSSEN, M.; NORTON, J.D. The attraction of gravitation: new studies in the history of general relativity. v. 5. Boston: Birkhäuser, 1993.

CONDÉ, M.LL. As teias da razão: Wittgenstein e a crise da racionalidade moderna. Belo Horizonte: Argvmentvm, 2004.

DAMOUR, T. Poincaré, the dynamics of the electron, and relativity. Comptes Rendus. Physique, v. 18, p. 551-562, 2017. DOI: https://doi.org/10.1016/j.crhy.2017.10.006

DARRIGOL, O. The mystery of the Einstein-Poincaré connection. Isis, v. 95, n. 4, p. 614-626, 2004. DOI: https://doi.org/10.1086/430652

DE SITTER, W. On the bearing of the principle of relativity on gravitational astronomy. Monthly Notes of the Royal Astronomical Society, v. 51, p. 388-415, 1911. DOI: https://doi.org/10.1093/mnras/71.5.388

DUGAS, R. A history of mechanics. New York: Dover, 2011.

EDDINGTON, A.S. The propagation of gravitational waves. Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, v. 102, n. 716, p. 268-282, 1992. DOI: https://doi.org/10.1098/rspa.1922.0085

EINSTEIN, A. Zur Elektrodynamik bewegter Körper. Annalen der Physik, v. 17, p. 891-921, 1905a. DOI: https://doi.org/10.1002/andp.19053221004

EINSTEIN, A. Ist die Trägheit eines Körpers von seinem Energieinhalt abhängig? Annalen der Physik, v. 18, p. 639-641, 1905b. DOI: https://doi.org/10.1002/andp.19053231314

EINSTEIN, A. Näherungsweise Integration der Feldgleichungen der Gravitation. Königlich Preussische Akademie der Wissenschaften: Sitzungsberichte, p. 688-696, 1916.

EINSTEIN, A. Über Gravitationswellen. Königlich Preussische Akademie der Wissenschaften: Sitzungsberichte, 154-167, 1918.

FEYERABEND, P. Contra o método. São Paulo: Editora Unesp, 2010.

FLECK, L. La génesis y el desarrolo de un hecho científico. Madrid: Alianza, 1986.

JAPIASSU, H.; MARCONDES, D. Dicionário básico de filosofia. 4. ed. Rio de Janeiro: Jorge Zahar, 2006.

KATZIR, S. Poincaré’s relativistic theory of gravitation. In: KOX, A.J.; EISENSTAEDT, J. (eds.). The universe of general relativity. Boston: Birkhäuser, 2005. p. 15-38. (Einstein Studies, v. 11). DOI: https://doi.org/10.1007/0-8176-4454-7_2

KRAGH, H. An introduction to the historiography of science. New York: Cambridge University Press, 2003.

KUHN, T.S. A estrutura das revoluções científicas. 13. ed. São Paulo: Perspectiva, 2017.

LAPLACE, P.S. Traité de mécanique céleste. Paris: De L'Imprimerie de Crapelet, 1799-1825.

LEVI-CIVITA, T. Sulla espressione analitica spettante al tensore gravitazionale nella teoria di Einstein. Rendiconti Accademia dei Lincei, ser. 5, v. XXVI, p. 381-391, 1917.

LORENTZ, H.A. Alte und neue Fragen der Physik. Physikalische Zeitschrift, v. 11, p. 1234-1257, 1910. (Reprinted in Collected papers. The Hague: Martinus Nijhoff, v. 7, p. 205-245, 1934)

LORENTZ, H.A. Deux mémoires de Henri Poincaré sur la physique mathématique. Acta Mathematica, v. 38, p. 293-308, 1914-1921. DOI: https://doi.org/10.1007/BF02392073

LYCAN, W.G. Filosofia da linguagem: uma introdução contemporânea. Lisboa: Edições 70, 2022.

MARTINS, R.A. Popperian evaluation of Einstein's theory-plus-method. Manuscrito: Revista Internacional de Filosofia, v. 9, n. 2, p. 95-124, 1986. (Número especial dedicado a Popper)

MARTINS, R.A. Como distorcer a física: considerações sobre um exemplo de divulgação científica 2: física moderna. Caderno Catarinense de Ensino de Física, v. 15, n. 3, p. 265-300, 1998a.

MARTINS, R.A. The search for gravitational absorption in the early 20th century. In: GOEMMER, H.; RENN, J.; RITTER, J. (eds.). The expanding worlds of general relativity (Einstein Studies, v. 7). Boston: Birkhäuser, 1998b. p. 3-44. DOI: https://doi.org/10.1007/978-1-4612-0639-2_1

MARTINS, R.A. A. Majorana's experiments on gravitational absorption. In: EDWARDS, M.R. (org.) Pushing gravity: new perspectives on Le Sage's theory of gravitation. Montréal: Apeiron, 2002.

MARTINS, R.A. El empirismo en la relatividad especial de Einstein y la supuesta superación de la teoría de Lorentz y Poncaré. In: FAAS, H.; SAAL, A.; VELASCO, M. (eds.). Epistemología e historia de la ciencia: selección de trabajos de las XV Jornadas. Córdoba: Facultad de Filosofía y Humanidades/Universidad Nacional de Córdoba, 2005. p. 509-516.

MARTINS, R.A. Teoria da relatividade especial. São Paulo: Livraria da Física, 2012.

MARTINS, R.A. A origem histórica da relatividade especial. São Paulo: Livraria da Física, 2015.

MILLER, A.I. A study of Henri Poincaré’s ‘Sur la dynamique de l’électron.’ Archive for History of Exact Sciences, v. 10, p. 207-328, 1973. DOI: https://doi.org/10.1007/BF00412332

MINKOWSKI, H. Die Grundgleichungen für die elektromagnetischen Vorgänge in bewegten Körpern. Nachrichten der Gesellschaft der Wissenschaften zu Göttingen, Mathematisch-Physikalische Klasse, p. 53-111, 1908.

MOLES, A. A criação científica. São Paulo: Perspectiva, 1981.

NUNES, C.L.C.; QUEIRÓS, W.P. Doze mitos sobre a teoria da relatividade que precisamos superar. Caderno Brasileiro de Ensino de Física, v. 37, n. 2, p. 531-573, 2020. DOI: https://doi.org/10.5007/2175-7941.2020v37n2p531

NUNES, C.L.C.; QUEIRÓS, W.P. O eclipse de 1919: um século de mitos históricos sobre a relatividade geral. Caderno de Física da Uefs, v. 20, n. 2, p. 2601.1-19, 2022. DOI: https://doi.org/10.13102/cadfsuefs.v20i02.9307

NUNES, C.L.C.; QUEIRÓS, W.P. Poincaré e o princípio da relatividade: uma tradução comentada do ensaio “Sobre a dinâmica do elétron”. Revista Brasileira de História da Ciência, v. 16, n. 2, p. 765-792, 2023. DOI: https://doi.org/10.53727/rbhc.v16i2.748

NUNES, C.L.C.; QUEIRÓS, W.P.; CUNHA, J.A.R. Análise histórica do conteúdo de relatividade especial nos livros didáticos de física do PNLD 2018. História da Ciência e Ensino: Construindo Interfaces, n. 24, p. 112-153, 2021. DOI: https://doi.org/10.23925/2178-2911.2021v24p112-153

POINCARÉ, H. A propos de la théorie de M. Larmor. Éclairage Electrique, v. 3, p. 5-13, 1895.

POINCARÉ, H. La mesure du temps. Revue de Métaphysique et de Morale, v. 6, n. 1, p. 1-13, 1898.

POINCARÉ, H. Des fondements de la géométrie; à propos d'un livre de M. Russell. Revue de Métaphysique et de Morale, v. 7, p. 251-279, 1899.

POINCARÉ, H. Sur les rapports de la physique expérimentale et de la physique mathématique. In: GUILLAUME, C. POINCARÉ, L. (org.). Rapports présentés au congrès international de physique. v. 1. Paris: Gauthier-Villars, 1900a. p. 1-29.

POINCARÉ, H. La théorie de Lorentz et le principe de réaction. Archives Néerlandaises des Sciences Exactes et Naturelles, v. 5, p. 252-278, 1900b.

POINCARÉ, H. Les relations entre la physique expérimentale et la physique mathématique. Revue Scientifique, v. 14, p. 705-715, 1900c.

POINCARÉ, H. Sur les principes de la mécanique; In: COLIN, A. Bibliothèque du Congrès International de Philosophie, v. 1, p. 457-494, 1901. DOI: https://doi.org/10.5840/wcp11901318

POINCARÉ, H. La science et l’hypothese. Paris: Flammarion, 1902.

POINCARÉ, H. L’etat et l’avenir de la physique mathematique. Bulletin des Sciences Mathematiques, v. 28, p. 302-324, 1904.

POINCARÉ, H. La valeur de la science. Paris: Flammarion, 1905a.

POINCARÉ, H. Sur la dynamique de l'électron. Comptes Rendus de l’Académie des Sciences, v. 140, p. 1504-1508, 1905b.

POINCARÉ, H. Sur la dynamique de l'électron. Rendiconti del Circolo Matematico di Palermo, v. 21, p. 129-176, 1906. DOI: https://doi.org/10.1007/BF03013466

POINCARÉ, H. La dynamique de l'électron. Revue Générale des Sciences Pures et Appliquées, v. 19, p. 386-402, 1908a.

POINCARÉ, H. Science et méthode. Paris: Flammarion, 1908b.

POINCARÉ, H. From a logical point of view. New York: Harper & Row, 1963.

POINCARÉ, H. Ontological relativity and other essays. New York: Columbia University Press, 1969.

POINCARÉ, H. On empirically equivalent systems of the world. Erkenntnis, v. 9, n. 3, p. 313-328, 1975.

POINCARÉ, H. Pursuit of truth. Cambridge: Harvard University Press, 1992.

QUINE, W.O. Word & object. Cambridge: MIT Press, 1960.

QUINE, W.O. On empirically equivalent systems of the world. Erkenntnis, v. 9, p. 313-328, 1975. DOI: https://doi.org/10.1007/BF00178004

QUINE, W.O. Theories and things. Cambridge: Harvard University Press, 1981.

QUINE, W.O. Relatividade ontológica e outros ensaios. In: Ryle; Strawson; Austin; Quine. 3. ed. São Paulo: Abril Cultural, 1985. (Coleção Os pensadores)

QUINE, W.O. Pursuit of truth. Cambridge: Harvard University Press, 1992.

QUINE, W.O. De um ponto de vista lógico. São Paulo: Unesp, 2011.

ROSEVEARE, N.T. Mercury's perihelion: From Le Verrier to Einstein. Oxford: Clarendon Press, 1982.

SCHWARTZ, H.M. Poincaré's rendiconti paper on relativity. Part I. American Journal of Physics, v. 39, p. 1287-1294, 1971. DOI: https://doi.org/10.1119/1.1976641

SOMMERFELD, A. Zur Relativitätstheorie II: Vierdimensionales Vektoranalysis Annalen der Physik, v. 33, p. 649-689, 1910. DOI: https://doi.org/10.1002/andp.19103381402

SPONSEL, A. Constructing a ‘revolution in science’: the campaign to promote a favourable reception for the 1919 solar eclipse experiments. The British Journal for the History of Science, v. 35, n. 4, p. 439-467, 2002. DOI: https://doi.org/10.1017/S0007087402004818

WALTER, S. Breaking in the 4-vectors: the four-dimensional movement in gravitation, 1905-1910. In: RENN, J.; SCHEMMEL, M. (eds.). The genesis of general relativity. v. 3: Theories of gravitation in the twilight of classical physics; Part I. Kluwer: Dordrecht, 2007. p. 193-252. DOI: https://doi.org/10.1007/978-1-4020-4000-9_18

WALTER, S. Henri Poincaré, theoretical Physics, and Relativity Theory in Paris. In: SCHLOTE, K.-H.; SCHNEIDER, M. (eds.). Mathematics meets physics: A contribution to their interaction in the 19th and the first half of the 20th century. Frankfurt: Harri Deutsch, 2011. p. 213-239.

WALTER, S. Poincaré on clocks in motion. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics, v. 47, n. 1, p. 131-141, 2014. DOI: https://doi.org/10.1016/j.shpsb.2014.01.003

WHITTAKER, E.T. A history of the theories of aether and eletricity. v. 1. New York: Humanities Press, 1951.

WHITTAKER, E.T. A history of the theories of aether and eletricity. v. 2. New York: Humanities Press, 1953.

WITTGENSTEIN, L. Investigações filosóficas. Trad. de Tiago Tranjan, Giovane Rodrigues. São Paulo: Fósforo, 2022. DOI: https://doi.org/10.55872/GOUO4768

WITTGENSTEIN, L. Sobre a certeza. Trad. de Giovane Rodrigues, Tiago Tranjan. São Paulo: Fósforo, 2023.