c is the speed of light, isn't it?

American Journal of Physics

Volumn 73, Issue 3, 2005, Pages 240-247

  Ellis, George F R ^a   Uzan, Jean Philippe ^b,c  

^a UNIVERSITY OF CAPE TOWN   (South Africa)

^b INSTITUT D'ASTROPHYSIQUE DE PARIS   (France)

^c UNIVERSITÉ PARIS SUD   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 15544382231     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.1819929     Document Type: Article

References (63)

1. J. K. Webb, V. V. Flambaum, C. W. Churchill, M. J. Drinkwater, and J. D. Barrow, "A search for time variation of the fine structure constant," Phys. Rev. Lett. 82, 884-887 (1999); astro-ph/9803165; J. Webb, M. T. Murphy, V. V. Flambaum, V. A. Dzuba, J. D. Barrow, C. W. Churchill, J. X. Prochoska, and A. M. Wolfe, "Further evidence for cosmological evolution of the fine structure constant," Phys. Rev. Lett. 87, 091301-1-4 (2001); astro-ph/0012539.
2. J. K. Webb, V. V. Flambaum, C. W. Churchill, M. J. Drinkwater, and J. D. Barrow, "A search for time variation of the fine structure constant," Phys. Rev. Lett. 82, 884-887 (1999); astro-ph/9803165; J. Webb, M. T. Murphy, V. V. Flambaum, V. A. Dzuba, J. D. Barrow, C. W. Churchill, J. X. Prochoska, and A. M. Wolfe, "Further evidence for cosmological evolution of the fine structure constant," Phys. Rev. Lett. 87, 091301-1-4 (2001); astro-ph/0012539.
3. R. Srianand, H. Chand, P. Petitjean, and B. Aracil, "Limits on the variation of the electromagnetic fine structure constant in the low energy limit from absorption lines in the spectra of distant quasars," Phys. Rev. Lett. 92, 121302-1-4 (2004), astro-ph/0402177. Their results cast doubt on the results of Ref. 1.
4. J.-P. Uzan, "The fundamental constants and their variation: observational and theoretical status" Rev. Mod. Phys. 75, 403-455 (2003); hep-ph/0205340.
5. J.-P. Uzan, "Les constantes varient-elles?" Pour Sci. 297(7), 72-79 (2002).
6. J.-P. Uzan, "Testing gravity on astrophysical scales," Int. J. Theor. Phys. 42, 1163-1185 (2003); J.-P. Uzan, "Tests of gravity on astrophysical scales and variation of the constants," Ann. Henri Poincare 4, 347-369 (2003).
7. J.-P. Uzan, "Testing gravity on astrophysical scales," Int. J. Theor. Phys. 42, 1163-1185 (2003); J.-P. Uzan, "Tests of gravity on astrophysical scales and variation of the constants," Ann. Henri Poincare 4, 347-369 (2003).
8. T. Damour and A. M. Polyakov, "The string dilaton and a least coupling principle," Nucl. Phys. B 423, 532-558 (1994); hep-th/9401069.
9. A. Albrecht and J. Magueijo, "A time varying speed of light as a solution to cosmological puzzles," Phys. Rev. D 59, 043516-1-13 (1999); astro-ph/9811018.
10. J. D. Barrow and J. Magueijo, "Varying-α theories and solutions to the cosmological problems," Phys. Lett. B 443, 104-110 (1998); astro-ph/9811072.
11. J. D. Barrow and J. Magueijo, "Solutions to the quasi-flatness and quasi-lambda problems," Phys. Lett. B 447, 246-250 (1999); astro-ph/9811073.
12. J. D. Barrow, "Cosmologies with varying light-speed," astro-ph/9811022.
13. E. W. Kolb and M. S. Turner, The Early Universe (Addison-Wesley, Reading, MA, 1993).
14. P. C. W. Davies, T. M. Davis, and C. H. Lineweaver, "Cosmology: black holes constrain varying constants," Nature (London) 418, 602-603 (2002).
15. M. J. Duff, "Comment on time-variation of fundamental constants," hep-th/0208093; V. V. Flambaum, "Comment on 'Black hole constrain varying constants,'" astro-ph/0208384; S. Carlip and S. Vaidya, "Black holes may not constrain varying constants," Nature (London) 421, 498-499 (2003); hep-th/0209249. This works refute this claim.
16. M. J. Duff, "Comment on time-variation of fundamental constants," hep-th/0208093; V. V. Flambaum, "Comment on 'Black hole constrain varying constants,'" astro-ph/0208384; S. Carlip and S. Vaidya, "Black holes may not constrain varying constants," Nature (London) 421, 498-499 (2003); hep-th/0209249. This works refute this claim.
17. M. J. Duff, "Comment on time-variation of fundamental constants," hep-th/0208093; V. V. Flambaum, "Comment on 'Black hole constrain varying constants,'" astro-ph/0208384; S. Carlip and S. Vaidya, "Black holes may not constrain varying constants," Nature (London) 421, 498-499 (2003); hep-th/0209249. This works refute this claim.
18. M. J. Duff, L. B. Okun, and G. Veneziano, "Trialogue on the number of fundamental constants," J. High Energy Phys. 03, 023 1-30 (2003); physics/0110060.
19. See Sec. II B of Ref. 3 for a detailed discussion of metrology and measurements and the link with the constants of nature.
20. P. A. M. Dirac, "The cosmological constants," Nature (London) 139, 323 (1937).
21. V. Canuto, J. P. Adams, S.-H. Hsieh, and E. Tsiang, "Scale-invariant theory of gravitation and astrophysical applications," Phys. Rev. D 16, 1643-1663 (1977).
22. S. Weinberg, "Overview of theoretical prospects for understanding the values of fundamental constants" Philos. Trans. R. Soc. London, Ser. A 310, 249-252 (1983).
23. More details and references can be found in J. M. Levy-Leblond, "The importance of being (a) constant," in Problems in the Foundations of Physics, LXXII corso (Societa Italiana di Fisica Bologna, 1979), pp. 237-263.
24. A translation and presentation of these texts can be found in R. Lehoucq and J.-P. Uzan, Les Constantes Fondamentales (Belin, Paris, France, 2005).
25. G. Galileo, in Dialogues Concerning Two New Sciences (Presse Universitaire de France, Paris, 1995), pp. 159-161.
26. G. Galileo, in Sidereus Nuncius. Translation in Le Messager des étoiles (Seuil, Paris, 1992), pp. 118-119. Galileo made 650 observations during 46 days from the 7th of January to the 2nd of March 1610.
27. O. Roemer, "Démonstration touchant le mouvement de la lumière," J. Scavans (1676) 133-134. [translation is Isis 31, 327-379 (1940)].
28. O. Roemer, "Démonstration touchant le mouvement de la lumière," J. Scavans (1676) 133-134. [translation is Isis 31, 327-379 (1940)].
29. J. Bradley, "A letter from the Reverend Mr. James Bradley... to Dr. Edmund Halley... giving an account of a new discovered motion of the fix'd stars," Philos. Trans. R. Soc. London 35, 637-661 (1728).
30. See, for example, J. Rosmorduc, Histoire de la Physique (Lavoisier, Paris, 1987).
31. J. C. Maxwell, "On the electromagnetic field," Philos. Trans. R. Soc. London 155, 499 (1865).
32. J. L. Synge, Relativity: The General Theory (North Holland, Amsterdam, 1960).
33. I. Ciufolini and J. A. Wheeler, Gravitation and Inertia (Princeton U. P., Princeton, NJ, 1995).
34. For a discussion on the role of the fundamental constants in the laws of physics, see J.-P. Uzan, "Dimensions et constantes fondamentales," in Le Réel et ses Dimensions, edited by G. Cohen-Tannoudji and E. Noel (EDP Sciences, Paris, 2003), pp. 25-56 and Ref. 20.
35. J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1999).
36. J. R. Lucas and P. E. Hodgson, Spacetime and Electromagnetism (Oxford U. P., Oxford, 1990).
37. J. M. Levy-Leblond, "One more derivation of Lorentz transformation," Am. J. Phys. 44, 271-277 (1976).
38. L. D. Landau and E. M. Lifschitz, The Classical Theory of Fields (Addison-Wesley, Reading, MA, 1971).
39. H. F. M. Goenner, "Theories of gravitation with nonminimal coupling of matter and the gravitational field," Found. Phys. 14, 865-881 (1984).
40. C. Itzykson and J.-B. Zuber, Quantum Field Theory (McGraw-Hill, New York, 1980).
41. P. Teyssandier, "Variation of the speed of light due to non-minimal coupling between electromagnetism and gravity," gr-qc/0303081.
42. S. L. Adler, "Photon splitting and photon dispersion in a strong magnetic field," Ann. Phys. (N.Y.) 67, 599-647 (1971).
43. W. Heisenberg and H. Euler, Z. Phys. 88, 714 (1936); C. Itzykson and J.-B. Zuber, Quantum Field Theory (McGraw-Hill, New York, 1980).
44. W. Heisenberg and H. Euler, Z. Phys. 88, 714 (1936); C. Itzykson and J.-B. Zuber, Quantum Field Theory (McGraw-Hill, New York, 1980).
45. G. Dvali, G. Gabadadze, and M. Porrati, "Metastable gravitons and infinite volume extra dimensions" Phys. Lett. B 484, 112-118 (2000); hep-th/0002190; C. Deffayet, G. Dvali, G. Gabadadze, and A. Vainshtein, "Nonpeturbative continuity in graviton mass versus perturbative discontinuity," Phys. Rev. D 65, 044026-1-10 (2002); hep-th/0106001; T. Damour, I. I. Kogan, and A. Papazoglou, "Spherically symmetric space-times in massive gravity," Phys. Rev. D 67, 064009-1-25 (2003); hep-th/0212155; S. V. Babak and L. P. Grishchuk, "Finite range gravity and its role in gravitational waves, black holes and cosmology," Int. J. Mod. Phys. D 12, 1905-1960 (2003); gr-qc/0209006.
46. G. Dvali, G. Gabadadze, and M. Porrati, "Metastable gravitons and infinite volume extra dimensions" Phys. Lett. B 484, 112-118 (2000); hep-th/0002190; C. Deffayet, G. Dvali, G. Gabadadze, and A. Vainshtein, "Nonpeturbative continuity in graviton mass versus perturbative discontinuity," Phys. Rev. D 65, 044026-1-10 (2002); hep-th/0106001; T. Damour, I. I. Kogan, and A. Papazoglou, "Spherically symmetric space-times in massive gravity," Phys. Rev. D 67, 064009-1-25 (2003); hep-th/0212155; S. V. Babak and L. P. Grishchuk, "Finite range gravity and its role in gravitational waves, black holes and cosmology," Int. J. Mod. Phys. D 12, 1905-1960 (2003); gr-qc/0209006.
47. G. Dvali, G. Gabadadze, and M. Porrati, "Metastable gravitons and infinite volume extra dimensions" Phys. Lett. B 484, 112-118 (2000); hep-th/0002190; C. Deffayet, G. Dvali, G. Gabadadze, and A. Vainshtein, "Nonpeturbative continuity in graviton mass versus perturbative discontinuity," Phys. Rev. D 65, 044026-1-10 (2002); hep-th/0106001; T. Damour, I. I. Kogan, and A. Papazoglou, "Spherically symmetric space-times in massive gravity," Phys. Rev. D 67, 064009-1-25 (2003); hep-th/0212155; S. V. Babak and L. P. Grishchuk, "Finite range gravity and its role in gravitational waves, black holes and cosmology," Int. J. Mod. Phys. D 12, 1905-1960 (2003); gr-qc/0209006.
48. G. Dvali, G. Gabadadze, and M. Porrati, "Metastable gravitons and infinite volume extra dimensions" Phys. Lett. B 484, 112-118 (2000); hep-th/0002190; C. Deffayet, G. Dvali, G. Gabadadze, and A. Vainshtein, "Nonpeturbative continuity in graviton mass versus perturbative discontinuity," Phys. Rev. D 65, 044026-1-10 (2002); hep-th/0106001; T. Damour, I. I. Kogan, and A. Papazoglou, "Spherically symmetric space-times in massive gravity," Phys. Rev. D 67, 064009-1-25 (2003); hep-th/0212155; S. V. Babak and L. P. Grishchuk, "Finite range gravity and its role in gravitational waves, black holes and cosmology," Int. J. Mod. Phys. D 12, 1905-1960 (2003); gr-qc/0209006.
49. J.-P. Uzan and F. Bernardeau, "Lensing at cosmological scales: a test of higher dimensional gravity," Phys. Rev. D 64, 083004-1-4 (2001); hep-ph/0012011.
50. H. van Dam and M. J. Veltman, "Massive and massless Yang-Mills and gravitational fields," Nucl. Phys. B 22, 397-411 (1970); V. I. Zakharov, JETP Lett. 12, 312-327 (1970); I. Iwasaki, "Consistency condition for propagators," Phys. Rev. D 2, 2255-2256 (1970).
51. H. van Dam and M. J. Veltman, "Massive and massless Yang-Mills and gravitational fields," Nucl. Phys. B 22, 397-411 (1970); V. I. Zakharov, JETP Lett. 12, 312-327 (1970); I. Iwasaki, "Consistency condition for propagators," Phys. Rev. D 2, 2255-2256 (1970).
52. H. van Dam and M. J. Veltman, "Massive and massless Yang-Mills and gravitational fields," Nucl. Phys. B 22, 397-411 (1970); V. I. Zakharov, JETP Lett. 12, 312-327 (1970); I. Iwasaki, "Consistency condition for propagators," Phys. Rev. D 2, 2255-2256 (1970).
53. C. M. Will, "The confrontation between general relativity and experiment," Living Rev. Relativ. 4, 4-93 (2001); gr-qc/0103036.
54. L. B. Okun, "The fundamental constants of physics," Usp. Fiz. Nauk. 161, 177-194 (1991) [English translation, Sov. Phys. Usp. 34, 813-826 (1991)].
55. L. B. Okun, "The fundamental constants of physics," Usp. Fiz. Nauk. 161, 177-194 (1991) [English translation, Sov. Phys. Usp. 34, 813-826 (1991)].
56. J. W. Moffat, "Superluminary universe: a possible solution of the initial value problem in cosmology," Int. J. Mod. Phys. D 2, 351-366 (1993); gr-qc/92110202.
57. J. Magueijo, "New varying speed of light theories," Rep. Prog. Phys. 66, 2025-2068 (2003); astro-ph/0305457.
58. G. F. R. Ellis and J.-P. Uzan, "c is the speed of light, isn't it?," Am. J. Phys. 73, 240-247 (2005).
59. P. Jordan, "Über die kosmologische Konstanz des Feinstruckturkonstanten," Z. Phys. 113, 660-662 (1939).
60. G. Esposito-Farèse and D. Polarski, "Scalar-tensor gravity in an accelerating universe," Phys. Rev. D 63, 063504-1-20 (2001); gr-qc/0009034.
61. A. Riazuelo and J.-P. Uzan, "Cosmological observations in scalar-tensor quintessence," Phys. Rev. D 66, 023525-1-18 (2002); astro-ph/0107386.
62. T. Damour and G. Esposito-Farèse, "Tensor-multi-scalar theories of gravitation," Class. Quantum Grav. 9, 2093-2176 (1992).
63. C. Armedariz-Picon, "Predictions and observations in theories with varying couplings," Phys. Rev. D 66, 064008-1-9 (2003); astro-ph/0205187.