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Poincaré as a Physicist

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Abstract

Henri Poincaré’s reputation as a mathematician is exceptional. What can we tell about his work in physics from the articles translated in Part I of this book? Here I identify some things that distinguish his work, for better or worse. His efforts to explain and clarify the work of others, find and use postulates or basic principles, and his innovation with analytical methodology is reviewed. A brief census of his predictions and missed opportunities for predictions is followed by a consideration of why he didn’t make the predictions that it appears he could have.

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Notes

  1. 1.

    Here and elsewhere, the first page number refers to the original publication and the second page number (following the semicolon) refers to the page number in Part I of this book.

  2. 2.

    For possible comparison with Einstein see the definition on the first page of (Einstein, Zur Elektrodynamik bewegter Körper, 1905), “conjecture that not only in mechanics, but in electrodynamics as well, the phenomena do not have any properties corresponding to the concept of absolute rest .”

  3. 3.

    The earlier derivation of the Lorentz force using least action is in (Lorentz, Contributions to the theory of electrons. I, 1902).

  4. 4.

    See for example (Poincaré, On the Three-Body Problem and the Equations of Dynamics, 2017).

  5. 5.

    Yes, I know that misunderstood genius is a cliché.

References

  • Abraham, M. (1902). Dynamik des Electrons. Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen, 20–41.

    Google Scholar 

  • Darrigol, O. (1995). Henri Poincaré’s Criticism of Fin de Siècle Electrodynamics. Stud. Hist. Phil. Mod. Phys., 26(1), 1–44.

    Article  Google Scholar 

  • Darrigol, O. (2004). The Mystery of the Einstein-Poincaré Connection. Isis, 95, 614–626.

    Article  ADS  MathSciNet  Google Scholar 

  • Einstein, A. (1905). Zur Elektrodynamik bewegter Körper. Annalen der Physik, 17, 891–921.

    Article  ADS  Google Scholar 

  • Einstein, A. (1906). Das Prinzip von der Erhaltung der Schwerpunktsbewegung und die Traegheit der Energie. Annalen der Physik, 20, 627–633.

    Article  ADS  Google Scholar 

  • Feynman, R. P., Leighton, R. B., & Sands, M. (1963). The Feynman Lectures on Physics. Reading, MA: Addison-Wesley Publishing Company.

    MATH  Google Scholar 

  • Gray, J. (2013). Henri Poincare: a scientific biography. Princeton, NJ: Princeton University Press.

    MATH  Google Scholar 

  • Kaufmann, W. (1901). Die magnetische und electrische Ablenkbarkeit der Becquerelstrahlen und die scheinbare Masse der Elektronen. Nachrichten von der Königl. Gesellschaft der Wissenschaften zu Göttingen, 2, 143–155.

    MATH  Google Scholar 

  • Langevin, P. (1905). Sur l’origine des radiations et l’inertie électromagnétique. J. Phys. Theor. Appl., 4, 165–183. doi:https://doi.org/10.1051/jphystap:019050040016500

    Article  Google Scholar 

  • Lorentz, H. A. (1902). Contributions to the theory of electrons. I. Proceedings of the KNAW [Royal Netherlands Academy of Arts and Sciences], 5, 608–28.

    Google Scholar 

  • Lorentz, H. A. (1904). Electromagnetic phenomena in a system moving with any velocity smaller than that of. Proceedings of the KNAW [Royal Netherlands Academy of Arts and Sciences], 6 (1903–4), 809–831.

    Google Scholar 

  • Miller, A. I. (1973). A study of Henri Poincaré’s “Sur la Dynamique de l’Électron”. Arch. Hist. Exact Sci., 10, 207–328.

    Article  Google Scholar 

  • Minkowski, H. (1908). Die Grundgleichungen für die elektromagnetischen Borgänge in bewegten Körpern. Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen, 53–111.

    Google Scholar 

  • Poincaré, H. (1900). La théorie de Lorentz et le principe de réaction. Archives néerlandaises des sciences exactes et naturelles, 5, 252–78.

    MATH  Google Scholar 

  • Poincaré, H. (1905). Sur la dynamique de l’électron. Comptes rendus de l’Académie des Sciences, 140, 1504–1508.

    ADS  MATH  Google Scholar 

  • Poincaré, H. (1906). Sur la dynamique de l’électron. Rendiconti del circolo matematico di Palermo, 21, 129–176.

    Article  Google Scholar 

  • Poincaré, H. (1908). La dynamique de l’électron. Revue générale des sciences pures et appliquées, 19, 386–402.

    MATH  Google Scholar 

  • Poincaré, H. (2017). On the Three-Body Problem and the Equations of Dynamics. (B. D. Popp, Trans.) Springer.

    Google Scholar 

  • Stein, H. (2014). Physics and Philosophy Meet: the Strange Case of Poincaré. Retrieved January 5, 2020, from PhilSci-Archive: http://philsci-archive.pitt.edu/id/eprint/10634

  • Thomson, J. J. (1897, October). Cathode Rays. Philosophical Magazine and Journal of Science, Fifth Series, 44, 293–316.

    Article  Google Scholar 

  • Whittaker, E. (1953). A History of the Theories of the Aether and Electricity, The Modern Theories. London: Thomas Nelson and Sons Ltd.

    MATH  Google Scholar 

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Popp, B.D. (2020). Poincaré as a Physicist. In: Henri Poincaré: Electrons to Special Relativity. Springer, Cham. https://doi.org/10.1007/978-3-030-48039-4_10

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