Woldemar Voigt

For the German aerospace engineer, see Woldemar Voigt (engineer).

Woldemar Voigt (German: [foːkt] ; 2 September 1850 – 13 December 1919) was a German physicist.

Woldemar Voigt
Woldemar Voigt, c. 1908
Born	(1850-09-02)2 September 1850 Leipzig, Kingdom of Saxony
Died	13 December 1919(1919-12-13) (aged 69) Göttingen, Germany
Nationality	German
Alma mater	University of Königsberg
Known for	Piezoelectricity Pyroelectricity Voigt effect Voigt model Voigt notation Voigt profile Voigt transformation Voigt–Thomson law Dyakonov–Voigt wave Kelvin–Voigt material
Awards	ForMemRS (1913)
Scientific career
Fields	Physicist
Institutions	University of Göttingen
Doctoral advisor	Franz Ernst Neumann
Doctoral students	Paul Drude

Biography

Voigt was born in Leipzig, and died in Göttingen. He was a student of Franz Ernst Neumann. Voigt taught at the Georg August University of Göttingen and eventually went on to head the Mathematical Physics Department there. He was succeeded in 1914 by Peter Debye, who took charge of the theoretical department of the Physical Institute.

Voigt 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 what is now called the Voigt effect in 1898. The word tensor in its current meaning was introduced by him in 1898. Voigt profile and Voigt notation are named after him. He was also an amateur musician and became known as a Bach expert (see External links). He was the first to suggest, in 1886, that Bach's Concerto for two harpsichords in C minor, BWV 1060 was originally scored for violin and oboe.

In 1887 Voigt formulated a form of the Lorentz transformation between a rest frame of reference and a frame moving with speed $v$ in the $x$ direction. However, as Voigt himself said, the transformation was aimed at a specific problem and did not carry with it the idea of a general coordinate transformation, as is the case in relativity theory.

Voigt transformation

Further information: History of Lorentz transformations

In modern notation Voigt's transformation was

$x'=x-vt,$

$y'=y/\gamma ,$

$z'=z/\gamma ,$

$t'=t-vx/c^{2},$

where $\gamma =1/{\sqrt {1-v^{2}/c^{2}}}$. If the right-hand sides of his equations are multiplied by $\gamma$, they become the modern Lorentz transformation. Hermann Minkowski said in 1908 that the transformations which play the main role in the principle of relativity were first examined by Voigt in 1887. Also Hendrik Lorentz (1909) is on record as saying that 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 elapsed time $\Delta t_{\text{Voigt}}=\gamma ^{-2}\Delta t=\gamma ^{-1}\Delta t_{\text{Lorentz}}$, while stationary clocks indicate an elapsed time $\Delta t$.

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 settled the issue in favor of the Lorentz transformation.

See also

• German inventors and discoverers

References

Primary Sources

• Voigt, W. (1887), "Theorie des Lichts für bewegte Medien", Göttinger Nachrichten (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 judgment 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 in Voigt (1888). According to Voigt's first judgment, 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).
• Voigt, W. (1888), "Theorie des Lichts für bewegte Medien", Annalen der Physik, 35 (10): 370–396, 524–551, Bibcode:1888AnP...271..370V, doi:10.1002/andp.18882711011; In a footnote on p. 390 of this article, Voigt corrects his earlier judgment, 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.
• Bucherer, A. H. (1908), "Messungen an Becquerelstrahlen. Die experimentelle Bestätigung der Lorentz-Einsteinschen Theorie", Physikalische Zeitschrift, 9 (22): 755–762; For Minkowski's statement see p. 762.
• Lorentz, H.A (1916), The theory of electrons, Leipzig & Berlin: B.G. Teubner; See p. 198.
• Lorentz 1904, Electromagnetic phenomena in a system moving with any velocity smaller than that of light

Secondary sources

• Macrossan, M. N. (1986), "A Note on Relativity Before Einstein", Br. J. Philos. Sci., 37 (2): 232–234, CiteSeerX 10.1.1.679.5898, doi:10.1093/bjps/37.2.232
• Ernst, Andreas & Hsu Jong-Ping (June 2001); First Proposal of the Universal Speed of Light by Voigt in 1887, pdf Chinese Journal of Physics

External links

• Works by or about Woldemar Voigt at the Internet Archive
• Woldemar Voigt at the Mathematics Genealogy Project
• The relativity of light (MathPages)
• Bach expert Woldemar Voigt