Photograph of Woldemar Voigt.
Woldemar Voigt

Overview

Woldemar Voigt (September 2, 1850December 13, 1919) was a German physicist.

He was born in Leipzig, and died in Göttingen. He was a student of Franz Ernst Neumann. He worked on crystal physics, thermodynamics and electro-optics. His main work was the Lehrbuch der Kristallphysik (textbook on crystal physics), first published in 1910. He discovered the Voigt effect in 1898. The word tensor in its current meaning was introduced by him in 1899. Voigt profile and Voigt notation are named after him. He was also an amatuer musician and became known as a Bach expert (see External links).

In 1887 Voigt formulated a form of the Lorentz transformation between a rest frame of reference and a frame moving with speed <math>v</math> in the <math>x</math> direction. However, as Voigt himself declared the transformation was aimed for a specific problem and did not carry with it the ideas of a general coordicate transformation, as is the case in relativity theory. (Ernst et al. (2001) suggets an alternative controversial intrepertation).

The Voigt transformation

In modern notation Voigt's transformation was :<math>x^\prime = x - vt</math> :<math>y^\prime = y/\gamma</math> :<math>z^\prime = z/\gamma</math> :<math>t^\prime = t - vx/c^2</math> where <math>\gamma = 1/\sqrt{1 - v^2/c^2}</math>. If the right-hand sides of his equations are multiplied by <math>\gamma</math> they are the modern Lorentz transformation. Lorentz (1909) is on record as saying he could have taken these transformations into his theory of electrodynamics, if only he had known of them, rather than developing his own. It is interesting then to examine the consequences of these transformations from this point of view. Lorentz might then have seen that the transformation introduced relativity of simultaneity, and also time dilation. However, the magnitude of the dilation was greater than the now accepted value in the Lorentz transformations. Moving clocks, obeying Voigt's time transformation, indicate an elpased time <math>\Delta t_\mathrm{Voigt} = \gamma^{-2}\Delta t = \gamma^{-1}\Delta t_\mathrm{Lorentz}</math>, while stationary clocks indicate an elapsed time <math>\Delta t</math>.

If Lorentz had adopted this transformation, it would have been a matter of experiment to decide between them and the modern Lorentz transformation. Since Voigt's transformation preserves the speed of light in all frames, the Michelson-Morley experiment and the Kennedy-Thorndike experiment can not distinguish between the two transformations. The crucial question is the issue of time dilation. The experimental measurement of time dilation by Ives and Stillwell (1938) and others settles the issue in favor of the Lorentz transformation.

Footnotes

References

* Ernst, A. and Hsu, J.-P. (2001) “First proposal of the universal speed of light by Voigt 1887”, Chinese Journal of Physics, 39(3), 211-230. (For the interpretation of Voigt's transformation, see [http://de.wikipedia.org/wiki/Galileitransformation]). * Simonyi, K. (1990) Kulturgeschichte der Physik, Urania Verlag, Leipzig/Jena/Berlin (translated from the Hungarian 1986 edition by Klara Christoph), pp. 403-404. * Ives, H. E. and Stilwell, G. R. (1938), “An experimental study of the rate of a moving clock”, J. Opt. Soc. Am, 28, 215-226. * Kennedy, R. J. and Thorndike, E. M. (1932) “Experimental Establishment of the Relativity of Time”, Physical Review. Series 2, 42, 400-418. * Lorentz, H. A. (1909) Theory of electrons and its applications to the phenomena of light and radiant heat: A course of lectures delivered in Columbia University, New York, in March and April 1906, Teubner, Leipzig. David Nutt, Williams & Northgate, London. G. E. Stechert & Co., New York. QC793.5.E62L671909. * Lorentz, H. A. (1899) "Simplified theory of electrical and optical phnomena in moving systems", Proc. Acad. Science Amsterdam, I, 427-43. *Voigt, W. (1888) "Theorie des Lichts für bewegte Medien", Ann. Physik Chem. 35, 370-396, 524-551. In a footnote on p. 390 of this article, Voigt corrects his earlier judgement, made in Göttinger Nachrichten No. 8, p. 235 and p. 236 (1887), and states indirectly that, after a correspondence with H. A. Lorentz, he can no longer maintain that in the case of the validity of Fizeau's 2nd aether hypothesis the Michelson experiment must yield a null result too. * Voigt, W. (1887b) "Theorie des Lichts für bewegte Medien", Nachrichten von der Königlichen Gesellschaft der Wissenschaften zu Göttingen, No. 8, 177-238. This article ends with the announcement that in a forthcoming article the principles worked out so far shall be applied to the problems of reflection and refraction. The article contains on p. 235, last paragraph, and on p. 236, 2nd paragraph, a judgement on the Michelson experiment of 1886, which Voigt, after a correspondence with H. A. Lorentz in 1887 and 1888, has partly withdrawn in the article announced, namely in a footnote on p. 390, Ann. Physik Chem. 35 (1888), see before reference. According to Voigt's first judgement, the Michelson experiment must yield a null result, independently of whether the Earth transports the luminiferous aether with it (Fizeau's 1st aether hypothesis), or whether the Earth moves through an entirely independent, self-consistent universal luminiferous aether (Fizeau's 2nd aether hypothesis). Also this paper can be downloaded from uni-goettingen. * Voigt, W. (1887a) "Ueber das Doppler'sche Princip", Nachrichten von der Königlichen Gesellschaft der Wissenschaften zu Göttingen, No. 2, 41-51; reprinted with additional comments by Voigt in Physikalische Zeitschrift XVI, 381 - 386 (1915). This paper can be downloaded from uni-goettingen.

Voigt, Woldemar Voigt, Woldemar Voigt, Woldemar

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In 1898, after passing his Abitur in Strassburg, Laue entered his compulsory year of military service, after which he began his studies in mathematics, physics, and chemistry, in 1899, at the University of Strasbourg, the Georg-August University of Göttingen, and the Ludwig Maximilians University of Munich (LMU). At Göttingen, he was greatly influenced by the physicists Woldemar Voigt and Max Abraham and the mathematician David Hilbert. After only one semester at Munich, he went to the Friedrich-Wilhelms-University of Berlin (Today: Humboldt University of Berlin), in 1902...
How is Woldemar Voigt connected to Max Born? Tell the world.

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...He was born in Leipzig, and died in Göttingen. He was a student of Franz Ernst Neumann. He worked on crystal physics, thermodynamics and electro-optics. His main work was the Lehrbuch der Kristallphysik (textbook on crystal physics), first published in 1910...
How is Woldemar Voigt connected to Arnold Sommerfeld? Tell the world.

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...Veltman — Netherlands, USA (1931- ) *Gabriele Veneziano — Italy (1942- ) *Giovanni Battista Venturi — Italy (1746–1822) *Émile Verdet — France (1824-1866) *John Hasbrouck van Vleck — USA (1899–1980) *Woldemar Voigt — Germany (1850-1919) *Max Volmer — Germany (1885-1965) *Alessandro Volta — Italy (1745–1827)

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...Cardinaal, applied his "direct analysis," modelled on the vector analysis of Josiah Willard Gibbs and Oliver Heaviside to higher order tensor-like entities he called "affinors." The symmetrical subset of affinors were tensors in the physicists sense of Woldemar Voigt. Entities such as axiators, perversors, and deviators appear in this analysis. Just as vector analysis has dot products and cross products, so affinor analysis has different kinds of products for tensors of various levels...