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The fundamental constants and their variation: observational and theoretical status
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This article describes the various experimental bounds on the variation of the fundamental constants of nature. After a discussion of the role of fundamental constants, their definition and link with metrology, it reviews the various constraints on the variation of the fine-structure constant, the gravitational, weak- and strong-interaction couplings and the electron-to-proton mass ratio. The review aims (1) to provide the basics of each measurement, (2) to show as clearly as possible why it constrains a given constant, and (3) to point out the underlying hypotheses. Such an investigation is of importance in comparing the different results and in understanding the recent claims of the detection of a variation of the fine-structure constant and of the electron-to-proton mass ratio in quasar absorption spectra. The theoretical models leading to the prediction of such variation are also reviewed, including Kaluza-Klein theories, string theories, and other alternative theories. Cosmological implications of these results are also discussed. The links with the tests of general relativity are emphasized.
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Citations
Cites
Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
Riess, A. G., Filippenko, A. V., Challis, P., Clocchiatti, A., Diercks, A., Garnavich, P. M., Gilliland, R. L., Hogan, C. J., Jha, S., Kirshner, R. P., et al. (1998) · The Astronomical Journal · doi:10.1086/300499 · Cited by 19,704
The cosmological constant problem
Weinberg, S. (1989) · Reviews of Modern Physics · doi:10.1103/revmodphys.61.1 · Cited by 7,341
Mach's Principle and a Relativistic Theory of Gravitation
Brans, C., & Dicke, R. H. (1961) · Physical Review · doi:10.1103/physrev.124.925 · Cited by 5,621
Heterotic and Type I string dynamics from eleven dimensions
Hořava, P., & Witten, E. (1996) · Nuclear Physics B · doi:10.1016/0550-3213(95)00621-4 · Cited by 1,984
Gasser, J., & Leutwyler, H. (1982) · Physics Reports · doi:10.1016/0370-1573(82)90035-7 · Cited by 1,753
DIRAC, P. A. M. (1937) · Nature · doi:10.1038/139323a0 · Cited by 1,495
Fourth test of general relativity
Shapiro, I. I. (1964) · Physical Review Letters · doi:10.1103/physrevlett.13.789 · Cited by 1,137
Some properties of O(32) superstrings
Witten, E. (1984) · Physics Letters B · doi:10.1016/0370-2693(84)90422-2 · Cited by 1,021
Search for a realistic Kaluza-Klein theory
Witten, E. (1981) · Nuclear Physics B · doi:10.1016/0550-3213(81)90021-3 · Cited by 772
Search for Time Variation of the Fine Structure Constant
Webb, J. K., Flambaum, V. V., Churchill, C. W., Drinkwater, M. J., & Barrow, J. D. (1999) · Physical Review Letters · doi:10.1103/physrevlett.82.884 · Cited by 754
Cosmic Microwave Background Anisotropies
Hu, W., & Dodelson, S. (2002) · Annual Review of Astronomy and Astrophysics · doi:10.1146/annurev.astro.40.060401.093926 · Cited by 745 · cited 1×
“The Cosmic Microwave Background Radiation (CMBR) is composed of the photons emitted at the time of the recombination of hydrogen and helium when the universe was about 300,000 years old [see e.g. Hu and Dodelson (2002) or Durrer (2002) for recent reviews on CMBR physics].”
BackgroundHigh-precision timing of millisecond pulsars. 3: Long-term monitoring of PSRs B1855+09 and B1937+21
Kaspi, V. M., Taylor, J. H., & Ryba, M. F. (1994) · The Astrophysical Journal · doi:10.1086/174280 · Cited by 595
Cosmological scaling solutions of nonminimally coupled scalar fields
Uzan, J.-P. (1999) · Physical Review D · doi:10.1103/physrevd.59.123510 · Cited by 468
Self-citationQuintessence as a runaway dilaton
Gasperini, M., Piazza, F., & Veneziano, G. (2001) · Physical Review D · doi:10.1103/physrevd.65.023508 · Cited by 449
The anthropic principle and the structure of the physical world
Carr, B. J., & Rees, M. J. (1979) · Nature · doi:10.1038/278605a0 · Cited by 438
Dark matter, time-varying G, and a dilaton field
Damour, T., Gibbons, G. W., & Gundlach, C. (1990) · Physical Review Letters · doi:10.1103/physrevlett.64.123 · Cited by 398
The anthropic principle and its implications for biological evolution
Carter, B. (1983) · Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences · doi:10.1098/rsta.1983.0096 · Cited by 375 · cited 1×
“Carter (1974, 1976, 1983), who actually coined the term “anthropic principle”, showed that the numerological coincidence found by Dirac can be derived from physical models of stars and the competition between the weakness of gravity with respect to nuclear fusion.”
BackgroundThe Oklo bound on the time variation of the fine-structure constant revisited
Damour, T., & Dyson, F. (1996) · Nuclear Physics B · doi:10.1016/s0550-3213(96)00467-1 · Cited by 374 · cited 6×
“Damour and Dyson (1996) related the variation of Er to the fine structure constant by taking into account that the radiative capture of the neutron by 14962 Sm corresponds to the existence of an excited quantum state 150 62 Sm (so that Er = E ∗ 150−E149−mn) and by assuming that the nuclear energy…”
BackgroundMethodInfluentialDirac's Cosmology and Mach's Principle
DICKE, R. H. (1961) · Nature · doi:10.1038/192440a0 · Cited by 372
Direct test of the constancy of fundamental nuclear constants
SHLYAKHTER, A. I. (1976) · Nature · doi:10.1038/264340a0 · Cited by 269 · cited 4×
“Shlyakhter (1976) pointed out that the capture cross section of thermal neutron by 14962 Sm n+ 14962 Sm −→ 15062 Sm + γ (33) is dominated by a capture resonance of a neutron of energy of about 0.1 eV.”
BackgroundInfluentialNew limits on spatial anisotropy from optically-pumped sup201 Hg and Hg 199
Lamoreaux, S. K., Jacobs, J. P., Heckel, B. R., Raab, F. J., & Fortson, E. N. (1986) · Physical Review Letters · doi:10.1103/physrevlett.57.3125 · Cited by 235
Cosmological observations in scalar-tensor quintessence
Riazuelo, A., & Uzan, J.-P. (2002) · Physical Review D · doi:10.1103/physrevd.66.023525 · Cited by 227
Self-citationImplications of gauge unification for time variation of the fine structure constant
Langacker, P., Segrè, G., & Strassler, M. J. (2002) · Physics Letters B · doi:10.1016/s0370-2693(02)01189-9 · Cited by 193
Results of a new test of local Lorentz invariance: A search for mass anisotropy in Ne 21
Chupp, T. E., Hoare, R. J., Loveman, R. A., Oteiza, E. R., Richardson, J. M., Wagshul, M. E., & Thompson, A. K. (1989) · Physical Review Letters · doi:10.1103/physrevlett.63.1541 · Cited by 193
Weinberg, S. (1983) · Physics Letters B · doi:10.1016/0370-2693(83)91281-9 · Cited by 173 · cited 1×
“(1) The number of free parameters indeed depends on the physical model at hand (see Weinberg, 1983).”
BackgroundSpontaneous compactification of extra space dimensions
Cremmer, E., & Scherk, J. (1977) · Nuclear Physics B · doi:10.1016/0550-3213(77)90363-7 · Cited by 165
Weak Interactions and Eötvös Experiments
Haugan, M. P., & Will, C. M. (1976) · Physical Review Letters · doi:10.1103/physrevlett.37.1 · Cited by 149
Quintessence and gravitational waves
Riazuelo, A., & Uzan, J.-P. (2000) · Physical Review D · doi:10.1103/physrevd.62.083506 · Cited by 134
Self-citationDie physikalischen Weltkonstanten
Jordan, P. (1937) · Die Naturwissenschaften · doi:10.1007/bf01498368 · Cited by 124 · cited 1×
“The first extension of Dirac’s idea to non-gravitational forces was proposed by Jordan (1937, 1939) who still considered that the weak interaction and the proton to electron mass ratio were constant.”
BackgroundBig bang nucleosynthesis and tensor-scalar gravity
Damour, T., & Pichon, B. (1999) · Physical Review D · doi:10.1103/physrevd.59.123502 · Cited by 107
Ġ/G and a cosmological acceleration of gravitationally compact bodies
Nordtvedt, K. (1990) · Physical Review Letters · doi:10.1103/physrevlett.65.953 · Cited by 93
Quintessence Cosmology and Varying
Chiba, T., & Kohri, K. (2002) · Progress of Theoretical Physics · doi:10.1143/ptp.107.631 · Cited by 92
Atomic optical clocks and search for variation of the fine-structure constant
Dzuba, V. A., & Flambaum, V. V. (2000) · Physical Review A · doi:10.1103/physreva.61.034502 · Cited by 82
Time variation of fundamental constants: Bounds from geophysical and astronomical data
Sisterna, P., & Vucetich, H. (1990) · Physical Review D · doi:10.1103/physrevd.41.1034 · Cited by 79 · cited 1×
“The analysis of Sisterna and Vucetich (1990) used, according to Damour and Dyson (1996) an ill-motivated finite-temperature description of the excited state of the compound nucleus.”
MethodTime Variation of the Charge of the Proton
Dyson, F. J. (1967) · Physical Review Letters · doi:10.1103/physrevlett.19.1291 · Cited by 76
The anthropic significance of the existence of an excited state of 12C
Livio, M., Hollowell, D., Weiss, A., & Truran, J. W. (1989) · Nature · doi:10.1038/340281a0 · Cited by 57
Dirac's Cosmology and the Dating of Meteorites
DICKE, R. H. (1959) · Nature · doi:10.1038/183170a0 · Cited by 20
Do the ‘Constants of Nature’ change with Time?
Wilkinson, D. H. (1958) · Philosophical Magazine · doi:10.1080/14786435808565799 · Cited by 16
Cited by
The Confrontation between General Relativity and Experiment
Will, C. M. (2014) · Living Reviews in Relativity · doi:10.12942/lrr-2014-4 · Cited by 3,996
The Universe in a Helium Droplet
Volovik, G. E. (2009) · doi:10.1093/acprof:oso/9780199564842.001.0001 · Cited by 2,632
The Confrontation between General Relativity and Experiment
Will, C. M. (2006) · Living Reviews in Relativity · doi:10.12942/lrr-2006-3 · Cited by 1,606
Douglas, M. R., & Kachru, S. (2007) · Reviews of Modern Physics · doi:10.1103/revmodphys.79.733 · Cited by 1,122
Further evidence for a variable fine-structure constant from Keck/HIRES QSO absorption spectra
Murphy, M. T., Webb, J. K., & Flambaum, V. V. (2003) · Monthly Notices of the Royal Astronomical Society · doi:10.1046/j.1365-8711.2003.06970.x · Cited by 514
Metadata
- Authors
- Uzan, J.-P.
- Venue
- Reviews of Modern Physics
- Publisher
- American Physical Society (APS)
- Published
- 2003-04-07
- Volume
- 75
- Issue
- 2
- Pages
- 403-455
- ISSN
- 0034-6861 (ISSN-L)
- 1539-0756
- OpenAlex
- W1532239545
- Cited by
- 1,162
- References
- 38
- FWCI
- 42.33
- Type
- journal article
- Language
- en
- Open access
- green
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