The letter is the standard symbol for the speed of light, but that was not always the case. I describe how was first introduced into the theory of electromagnetism and the stages by which it came to be used to denote the speed of light.
REFERENCES
1.
C. Stewart
Gillmor
, Coulomb and the Evolution of Physics and Engineering in Eighteenth-Century France
(Princeton University Press
, Princeton, NJ, 1971
), Chap. 6.2.
See, for example,
John David
Jackson
, Classical Electrodynamics
(Wiley
, New York, 1999
), 3rd ed., Sec. 5.2.3.
J. B.
Biot
and F.
Savart
, “Note sur le magnétisme de la pile de Volta
,” Ann. Chim. Phys.
15
, 222
–223
(1820
). English translation by O. M. Blunn in Ref. 5, pp. 118–119.4.
J. B.
Biot
and F.
Savart
, “Sur l’aimantation imposée aux métaux par l’électricité en mouvement
,” in J. B.
Biot
, Précis Élémentaire de Physique
(Déterville
, Paris, 1824
), 3rd ed., Vol. II
, pp. 707
–723
. English translation by O. M. Blunn in Ref. 5, pp. 119–139.5.
R. A. R.
Tricker
, Early Electrodynamics: The First Law of Circulation
(Pergamon
, Oxford, 1965
).6.
A. M.
Ampère
, “Mémoire sur la théorie mathématique des phénomènes électrodynamiques uniquement déduite de l’expérience
,” Mem. Acad. Sci. Inst. Fr.
6
, 175
–387
(1823
), issued 1827. English translation by O. M. Blunn in Ref. 5, pp. 155–200.7.
“Giorgi, Giovanni” in
Dictionary of Scientific Biography
, edited by Charles C.
Gillispie
(Scribner’s
, New York, 1972
), Vol. V
, pp. 407
–408
.8.
W.
Weber
, “Elektrodynamische Maassbestimmungen über ein allgemeies Grundgesetz der elektrischen Wirkung
,” in Abhandlungen bei Begründung der Königl. Sächs. Gesellschaft der Wissenschaften am Tage der zweihundertjährigen Geburtstagfeier Leibnizen’s herausgegeben von der Fürst. Jablonowskischen Gesellschaft
(Leipzig
, 1846
), pp. 211
–378
; reprinted in Ref. 9, Vol. 3, pp. 25–214.A shorter version of this paper is in
W.
Weber
, “Elektrodynamische Maassbestimmungen
,” Ann. Phys.
73
, 193
–240
(1848
), reprinted in Ref. 9, Vol. 3, pp. 215–254;English translation in
Scientific Memoirs
, edited by R.
Taylor
(Johnson Reprint Corporation
, New York, 1966
), Vol. 5
, pp. 489
–529
.9.
Wilhelm Weber’s Werke
, edited by Heinrich
Weber
(Springer
, Berlin, 1893
).10.
G. T.
Fechner
, “Ueber die Verknüpfung der Faraday’schen Inductions-Erscheinungen mit den Ampèreschen elektro-dynamischen Erscheinungen
,” Ann. Phys.
64
, 337
–345
(1845
).English translation: “
On the measurement of electric resistance according to an absolute standard
,” Philos. Mag.
22
, 226
–240
(1861
);English translation: “
On the measurement of electric resistance according to an absolute standard
,” Philos. Mag.
22
, 261
–269
(1861
).12.
W.
Weber
, “Elektrodynamische Maassbestimmungen, insbesondere Widerstandsmessungen
,” Abhandlungen der Königl. Sächs. Gesellschaft der Wissenschaften, mathematisch-physiche Klasse
1
, 199
–381
(1852
). Reprinted in Ref. 9, Vol. 3, pp. 301–471 (see p. 366).13.
Ostwalds Klassiker der Exakten Wissenschaften
, Karl
Wiederkehr
and Friederich
Kohlrausch
eds. (F. Vieweg
, Braunschweig, 1968
), Vol. 5
, Über die Einführung absoluter elektrischer Masse, [von] Wilhelm Weber und Rudolf Kohlrausch. Kommentiert von K. H. Wiederkehr.14.
Isaac
Asimov
, “ for Celeritas
,” in The Magazine of Fantasy and Science Fiction
, November 1959. Reprinted in Asimov On Physics (Doubleday, Garden City, NY, 1976), pp. 96–106.15.
Philip
Gibbs
, “Why is the symbol for the speed of light?
,” http://math.ucr.edu/home/baez/physics/relativity/velocityoflight/c.html16.
Other spelling changes between Weber’s original papers and reprints are from Elektricität to Elektrizität and from Maasse to Masse.
18.
L.
Rosenfeld
, “The velocity of light and the evolution of electrodynamics
,” Nuovo Cimento, Suppl.
4
, 1630
–1669
(1957
).19.
André K. T.
Assis
, Weber’s Electrodynamics
(Kluwer
, Dordrecht, 1994
), pp. 52
–53
.20.
G.
Kirchhoff
, “On the motion of electricity in wires
,” Philos. Mag.
13
, 393
–412
(1857
).21.
G.
Kirchhoff
, “Ueber die Bewegung der Elektricität in Leitern
,” Ann. Phys.
102
, 529
–544
(1857
).English translation by
P.
Graneau
and A. K. T.
Assis
, “Kirchhoff on the motion of electricity in conductors
,” Apeiron: Studies in Infinite Nature
19
, 19
–25
(1994
). Note: there are two journals titled Apeiron, but with different subtitles.23.
Electronic collections of the National Library of France at http://visualiseur.bnf.fr/Visualiseur?Destination=Gallica&O=NUMM-15184.
24.
A. K. T.
Assis
, “The meaning of the constant in Weber’s electrodynamics
,” in Proc. Int. Conf. “Galileo Back in Italy-II
,” edited by R.
Monti
(Soc. Ed. Andromeda
, Bologna, 2000
), pp. 23
–36
.25.
L.
Lorenz
, “On the identity of the vibrations of light with electrical currents
,” Philos. Mag.
34
, 287
–301
(1867
).26.
James Clerk
Maxwell
, “On Faraday’s lines of force
,” Trans. Cambridge Philos. Soc.
10
, Part I, 27
–83
(1856
), reprinted in Ref. 29, Vol. 1, pp. 155–229.27.
James Clerk
Maxwell
, “On physical lines of force
,” Philos. Mag.
21
, 161
–175
(1861
);James Clerk
Maxwell
, “On physical lines of force
,” Philos. Mag.
21
, 281
–291
(1861
);James Clerk
Maxwell
, “On physical lines of force
,” Philos. Mag.
21
, 338
–348
(1861
);James Clerk
Maxwell
, “On physical lines of force
,” Philos. Mag.
22
, 85
–95
(1862
), reprinted in Ref. 29, Vol. 1, pp. 451–513.28.
James Clerk
Maxwell
, “A dynamical theory of the electromagnetic field
,” Philos. Trans. R. Soc. London
155
, 459
–512
(1865
), reprinted in Ref. 29, Vol. 1, pp. 526–597.29.
The Scientific Papers of James Clerk Maxwell
, edited by William D.
Niven
(Dover
, New York, 1952
).30.
Armand
Fizeau
, “Sur un expérience relative à la vitesse de propagation de la lumière
,” C.R. Acad. Sci., Ser. IIc: Chim
29
, 90
–92
(1849
).English translation in
A Source Book in Physics
, edited by William F.
Magie
(McGraw-Hill
, New York, 1935
), pp. 340
–342
.31.
32.
33.
Oliver
Lodge
, “Aberration problems. A discussion concerning the motion of the ether near the earth, and concerning the connexion between ether and gross matter; with some experiments
,” Philos. Trans. R. Soc. London, Ser. A
184
, 727
–804
(1893
).34.
Paul
Drude
, Physik des Aethers auf elektromagnetischer Grundlage
(Ferdinand Enke
, Stuttgart, 1894
), p. 483
.35.
Paul
Drude
, Theory of Optics
(Longmans
, Green & Co., New York, 1925
), p. 115
. This publication is a reprint of the 1902 edition.36.
H. A.
Lorentz
, Versuch einer Theorie der elektrischen und optischen Erscheinungen in bewegten Körpern
(Teubner
, Leiden, 1895
), pp. 89
–92
. These pages are reprinted in Ref. 37, pp. 1–5 under the title “Der Interferenzversuch Michelsons.” English translation by W. Perrett and G. B. Jeffery in Ref. 38, pp. 3–7 “Michelson’s interference experiment.” The translation substitutes for to denote the speed of light.37.
38.
39.
See, for example,
Albert A.
Michelson
, “Experimental determination of the velocity of light
,” Nature (London)
21
, 94
–96
(1879–1880
);Albert A.
Michelson
, “Experimental determination of the velocity of light
,” Nature (London)
120–122
, 226
(1879–1880
).Albert A.
Michelson
and Edward W.
Morley
, “On the relative motion of the earth and the luminiferous ether
,” Am. J. Sci.
34
, 333
–345
(1887
).A. A.
Michelson
, F. G.
Pease
, and F.
Pearson
, “Measurement of the velocity of light in a partial vacuum
,” Astrophys. J.
82
, 26
–61
(1935
).Reprinted in
J. H.
Sanders
, The Velocity of Light
(Pergamon
, Oxford, 1965
), pp. 43
–79
.40.
41.
Reference 35, p. 265.
42.
Oliver
Heaviside
, Electromagnetic Theory
(Dover
, New York, 1950
), p. 79
; originally published in 1892.43.
Albert
Einstein
, “Zur Elektrodynamik bewegter Körper
,” Ann. Phys.
17
, 891
–921
(1905
). Reprinted in Ref. 46, Vol. 2, pp. 276–306. English translation in Ref. 47, Vol. 2, pp. 140–171, “On the electrodynamics of moving bodies.” The translation in Ref. 38 pp. 37–65, substitutes for to denote the speed of light.44.
Albert
Einstein
, “Ist die Trägheit eines Körpers von seinem Energiehalt abhängig?
,” Ann. Phys.
18
, 639
–641
(1905
). Reprinted in Ref. 46, Vol. 2, pp. 312–314. English translation in Ref. 47, Vol. 2, pp. 172–174, “Does the inertia of a body depend upon its energy content?” The translation in Ref. 38 pp. 69–71, substitutes for to denote the speed of light.46.
The Collected Papers of Albert Einstein
, edited by John
Stachel
(Princeton University Press
, Princeton, NJ, 1989
).47.
The Collected Papers of Albert Einstein: English Translation
, translated by Anna Beck (Princeton University Press
, Princeton, NJ, 1989
).48.
Albert
Einstein
, “Über die Relativitätsprinzip und die aus demselben gezogenen Folgerungen
,” Jahrbuch der Radioaktivität und Elektronik
4
, 411
–462
(1907
). Reprinted in Ref. 46, Vol. 2, pp. 433–484. English translation in Ref. 47, Vol. 2, pp. 252–310, “On the relativity principle and the conclusions drawn from it.”49.
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