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Electromagnetic Models of the Electron and the Transition from Classical to Relativistic Mechanics

Janssen, Michel and Mecklenburg, Matthew (2004) Electromagnetic Models of the Electron and the Transition from Classical to Relativistic Mechanics. [Preprint]

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    This paper is part II of a trilogy on the transition from classical particle mechanics to relativistic continuum mechanics that one of the authors is working on. The first part, on the Trouton experiment, was published in the Stachel festschrift (Janssen 2003). This paper focuses on the Lorentz-Poincaré electron, and, in particular, on the "Poincaré pressure" or "Poincaré stresses" introduced to stabilize the electron. It covers both the original argument by Poincaré (1906) and a modern relativistic argument for adding a negative pressure term to the system's energy-momentum tensor inspired by the work of Laue (1911a, b). It highlights the importance of a paper by Lorentz (1899) in this context and of the "electromagnetic mechanics" of Abraham (1903).

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    Item Type: Preprint
    Additional Information: The original version of this paper failed to cite some important literature (such as Faragó and Jánossy 1957, Eckert and Märker 2000, and Schwinger 1983) and address some important problems (see, e.g., pp. 41–43 of this new version). In addition a host of minor problems have been fixed. For an outline of Part III of this trilogy, see
    Keywords: electromagnetic worldview, classical electron, mechanics, kinematics, Poincaré pressure, Poincaré stresses, Max Abraham, H. A. Lorentz, Max Laue, Kaufmann experiments
    Subjects: Specific Sciences > Physics > Relativity Theory
    Depositing User: Michel Janssen
    Date Deposited: 11 Oct 2004
    Last Modified: 07 Oct 2010 11:12
    Item ID: 1990

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