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Lorentz’s Local Time and the Theorem of Corresponding States

Published online by Cambridge University Press:  31 January 2023

Robert Rynasiewicz
Robert Rynasiewicz*
Affiliation:
The Johns Hopkins University
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  1. 1. Here is a well known theorem. Consider the homogeneous Maxwell equations

    (where E and H are functions of x, y, z, and t, and ).

    Use the coordinate substitutions

    and the following substitutions for the field variables

    Then, if terms depending on second and higher powers of (v/c) are dropped, the resulting equations have the same form as the original homogeneous Maxwell equations, i.e.,

Type
Part III. Physics
Information
PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association , Volume 1988 , Issue 1: Volume One: Contributed Papers 1988 , 1988 , pp. 66 - 74
Copyright
Copyright © Philosophy of Science Association 1988

References

Lorentz, H.A. (1895). Versuch einer Theorie der elektrischen und optischen Erscheinungen in bewegten Koerpern. Leiden: Brill.Google Scholar
Lorentz, H.A. (1904). “Electromagnetic Phenomena in a System Moving with any Velocity Less than That of Light.” Proceedings of the Academy of Sciences of Amsterdam 6: 809.Google Scholar
Lorentz, H.A. (1909). The Theory of Electrons. Leiden: Brill.Google Scholar
Poincaré, H. (1905). “Sur la dynamique de l’électron.” Comptes rendus de l’Académie des Sciences 140: 1504–1508.Google Scholar
Poincaré, H. (1906). “Sur la dynamique de l’électon.” Rendiconti del Circolo matematico di Palermo 21: 129–176.CrossRefGoogle Scholar