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https://dx.doi.org/10.48550/ar...
Article . 2010
License: arXiv Non-Exclusive Distribution
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Moving Charge Distributions in Classical Electromagnetism and the FitzGerald-Lorentz Contraction

Authors: Moylan, Patrick;

Moving Charge Distributions in Classical Electromagnetism and the FitzGerald-Lorentz Contraction

Abstract

In [Eur. J. Phys. {\bf 25} (2004) 123-126], Dragan V. Red{\v z}i�� is led to the FitzGerald-Lorentz contraction by comparing electromagnetic images of a moving point charge and a moving conducting sphere. We wish to point out that much simpler possibilities intrinsic to electromagnetism already exist from which we may get at the FitzGerald-Lorentz contraction hypothesis. In particular we consider an example going back to Poincar�� in [{\it Bulletin des Sciences math��matiques}, 28, (1904) pp. 302-324], in which he considers the problem of two moving, parallel line charges in order to get at length contraction. We develop this model of Poincar�� and show that it leads not only to the FitzGerald-Lorentz contraction but also to an elementary derivation of the composition of velocities formula in special relativity for collinear velocities. Red{\v z}i�� suggests that, by considering such purely electromagnetic examples, the Maxwellians could have been led to the contraction hypothesis much before the time of the Michelson-Morely experiment, and we agree with him that such elementary results as the ones discussed here could not have escaped their attention. Apparently, it took an extremely sensitive experiment, not intrinsic to electromagnetism, such as was the Michelson-Morley experiment, together with the efforts of persons with authority, like Lorentz and Poincar��, trying to uphold the relativity principle before the radical notion of length contraction could seriously be entertained, and making ripe the way for the genius of Einstein.

21 pages, 8 figures

Keywords

Physics - History and Philosophy of Physics, History and Philosophy of Physics (physics.hist-ph), FOS: Physical sciences, 01A55, 01A60, 78-03

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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