skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Planck intermediate results: XXIV. Constraints on variations in fundamental constants*

Abstract

Any variation in the fundamental physical constants, more particularly in the fine structure constant, α, or in the mass of the electron, me, affects the recombination history of the Universe and cause an imprint on the cosmic microwave background angular power spectra. We demonstrate that the Planck data allow one to improve the constraint on the time variation of the fine structure constant at redshift z ∼ 10 3 by about a factor of 5 compared to WMAP data, as well as to break the degeneracy with the Hubble constant, H 0. In addition to α, we can set a constraint on the variation in the mass of the electron, me, and in the simultaneous variation of the two constants. We study in detail the degeneracies between fundamental constants and the cosmological parameters, in order to compare the limits obtained from Planck and WMAP and to determine the constraining power gained by including other cosmological probes. We conclude that independent time variations of the fine structure constant and of the mass of the electron are constrained by Planck to Δα/α = (3.6 ± 3.7) × 10 -3 and Δme/me = (4 ± 11) × 10 -3 at the 68% confidencemore » level. We also investigate the possibility of a spatial variation of the fine structure constant. The relative amplitude of a dipolar spatial variation in α (corresponding to a gradient across our Hubble volume) is constrained to be δα/α = (-2.4 ± 3.7) × 10 -2.« less

Authors:
; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; more »; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; « less
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
Contributing Org.:
Planck Collaboration
OSTI Identifier:
1524034
Grant/Contract Number:  
AC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Astronomy and Astrophysics
Additional Journal Information:
Journal Volume: 580; Journal ID: ISSN 0004-6361
Publisher:
EDP Sciences
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; cosmology: observations; cosmic background radiation; cosmological parameters; atomic data

Citation Formats

Ade, P. A. R., Aghanim, N., Arnaud, M., Ashdown, M., Aumont, J., Baccigalupi, C., Banday, A. J., Barreiro, R. B., Battaner, E., Benabed, K., Benoit-Lévy, A., Bernard, J. -P., Bersanelli, M., Bielewicz, P., Bond, J. R., Borrill, J., Bouchet, F. R., Burigana, C., Butler, R. C., Calabrese, E., Chamballu, A., Chiang, H. C., Christensen, P. R., Clements, D. L., Colombo, L. P. L., Couchot, F., Curto, A., Cuttaia, F., Danese, L., Davies, R. D., Davis, R. J., de Bernardis, P., de Rosa, A., de Zotti, G., Delabrouille, J., Diego, J. M., Dole, H., Doré, O., Dupac, X., Enßlin, T. A., Eriksen, H. K., Fabre, O., Finelli, F., Forni, O., Frailis, M., Franceschi, E., Galeotta, S., Galli, S., Ganga, K., Giard, M., González-Nuevo, J., Górski, K. M., Gregorio, A., Gruppuso, A., Hansen, F. K., Hanson, D., Harrison, D. L., Henrot-Versillé, S., Hernández-Monteagudo, C., Herranz, D., Hildebrandt, S. R., Hivon, E., Hobson, M., Holmes, W. A., Hornstrup, A., Hovest, W., Huffenberger, K. M., Jaffe, A. H., Jones, W. C., Keihänen, E., Keskitalo, R., Kneissl, R., Knoche, J., Kunz, M., Kurki-Suonio, H., Lamarre, J. -M., Lasenby, A., Lawrence, C. R., Leonardi, R., Lesgourgues, J., Liguori, M., Lilje, P. B., Linden-Vørnle, M., López-Caniego, M., Lubin, P. M., Macías-Pérez, J. F., Mandolesi, N., Maris, M., Martin, P. G., Martínez-González, E., Masi, S., Matarrese, S., Mazzotta, P., Meinhold, P. R., Melchiorri, A., Mendes, L., Menegoni, E., Mennella, A., Migliaccio, M., Miville-Deschênes, M. -A., Moneti, A., Montier, L., Morgante, G., Moss, A., Munshi, D., Murphy, J. A., Naselsky, P., Nati, F., Natoli, P., Nørgaard-Nielsen, H. U., Noviello, F., Novikov, D., Novikov, I., Oxborrow, C. A., Pagano, L., Pajot, F., Paoletti, D., Pasian, F., Patanchon, G., Perdereau, O., Perotto, L., Perrotta, F., Piacentini, F., Piat, M., Pierpaoli, E., Pietrobon, D., Plaszczynski, S., Pointecouteau, E., Polenta, G., Ponthieu, N., Popa, L., Pratt, G. W., Prunet, S., Rachen, J. P., Rebolo, R., Reinecke, M., Remazeilles, M., Renault, C., Ricciardi, S., Ristorcelli, I., Rocha, G., Roudier, G., Rusholme, B., Sandri, M., Savini, G., Scott, D., Spencer, L. D., Stolyarov, V., Sudiwala, R., Sutton, D., Suur-Uski, A. -S., Sygnet, J. -F., Tauber, J. A., Tavagnacco, D., Terenzi, L., Toffolatti, L., Tomasi, M., Tristram, M., Tucci, M., Uzan, J. -P., Valenziano, L., Valiviita, J., Van Tent, B., Vielva, P., Villa, F., Wade, L. A., Yvon, D., Zacchei, A., and Zonca, A. Planck intermediate results: XXIV. Constraints on variations in fundamental constants*. United States: N. p., 2015. Web. doi:10.1051/0004-6361/201424496.
Ade, P. A. R., Aghanim, N., Arnaud, M., Ashdown, M., Aumont, J., Baccigalupi, C., Banday, A. J., Barreiro, R. B., Battaner, E., Benabed, K., Benoit-Lévy, A., Bernard, J. -P., Bersanelli, M., Bielewicz, P., Bond, J. R., Borrill, J., Bouchet, F. R., Burigana, C., Butler, R. C., Calabrese, E., Chamballu, A., Chiang, H. C., Christensen, P. R., Clements, D. L., Colombo, L. P. L., Couchot, F., Curto, A., Cuttaia, F., Danese, L., Davies, R. D., Davis, R. J., de Bernardis, P., de Rosa, A., de Zotti, G., Delabrouille, J., Diego, J. M., Dole, H., Doré, O., Dupac, X., Enßlin, T. A., Eriksen, H. K., Fabre, O., Finelli, F., Forni, O., Frailis, M., Franceschi, E., Galeotta, S., Galli, S., Ganga, K., Giard, M., González-Nuevo, J., Górski, K. M., Gregorio, A., Gruppuso, A., Hansen, F. K., Hanson, D., Harrison, D. L., Henrot-Versillé, S., Hernández-Monteagudo, C., Herranz, D., Hildebrandt, S. R., Hivon, E., Hobson, M., Holmes, W. A., Hornstrup, A., Hovest, W., Huffenberger, K. M., Jaffe, A. H., Jones, W. C., Keihänen, E., Keskitalo, R., Kneissl, R., Knoche, J., Kunz, M., Kurki-Suonio, H., Lamarre, J. -M., Lasenby, A., Lawrence, C. R., Leonardi, R., Lesgourgues, J., Liguori, M., Lilje, P. B., Linden-Vørnle, M., López-Caniego, M., Lubin, P. M., Macías-Pérez, J. F., Mandolesi, N., Maris, M., Martin, P. G., Martínez-González, E., Masi, S., Matarrese, S., Mazzotta, P., Meinhold, P. R., Melchiorri, A., Mendes, L., Menegoni, E., Mennella, A., Migliaccio, M., Miville-Deschênes, M. -A., Moneti, A., Montier, L., Morgante, G., Moss, A., Munshi, D., Murphy, J. A., Naselsky, P., Nati, F., Natoli, P., Nørgaard-Nielsen, H. U., Noviello, F., Novikov, D., Novikov, I., Oxborrow, C. A., Pagano, L., Pajot, F., Paoletti, D., Pasian, F., Patanchon, G., Perdereau, O., Perotto, L., Perrotta, F., Piacentini, F., Piat, M., Pierpaoli, E., Pietrobon, D., Plaszczynski, S., Pointecouteau, E., Polenta, G., Ponthieu, N., Popa, L., Pratt, G. W., Prunet, S., Rachen, J. P., Rebolo, R., Reinecke, M., Remazeilles, M., Renault, C., Ricciardi, S., Ristorcelli, I., Rocha, G., Roudier, G., Rusholme, B., Sandri, M., Savini, G., Scott, D., Spencer, L. D., Stolyarov, V., Sudiwala, R., Sutton, D., Suur-Uski, A. -S., Sygnet, J. -F., Tauber, J. A., Tavagnacco, D., Terenzi, L., Toffolatti, L., Tomasi, M., Tristram, M., Tucci, M., Uzan, J. -P., Valenziano, L., Valiviita, J., Van Tent, B., Vielva, P., Villa, F., Wade, L. A., Yvon, D., Zacchei, A., & Zonca, A. Planck intermediate results: XXIV. Constraints on variations in fundamental constants*. United States. doi:10.1051/0004-6361/201424496.
Ade, P. A. R., Aghanim, N., Arnaud, M., Ashdown, M., Aumont, J., Baccigalupi, C., Banday, A. J., Barreiro, R. B., Battaner, E., Benabed, K., Benoit-Lévy, A., Bernard, J. -P., Bersanelli, M., Bielewicz, P., Bond, J. R., Borrill, J., Bouchet, F. R., Burigana, C., Butler, R. C., Calabrese, E., Chamballu, A., Chiang, H. C., Christensen, P. R., Clements, D. L., Colombo, L. P. L., Couchot, F., Curto, A., Cuttaia, F., Danese, L., Davies, R. D., Davis, R. J., de Bernardis, P., de Rosa, A., de Zotti, G., Delabrouille, J., Diego, J. M., Dole, H., Doré, O., Dupac, X., Enßlin, T. A., Eriksen, H. K., Fabre, O., Finelli, F., Forni, O., Frailis, M., Franceschi, E., Galeotta, S., Galli, S., Ganga, K., Giard, M., González-Nuevo, J., Górski, K. M., Gregorio, A., Gruppuso, A., Hansen, F. K., Hanson, D., Harrison, D. L., Henrot-Versillé, S., Hernández-Monteagudo, C., Herranz, D., Hildebrandt, S. R., Hivon, E., Hobson, M., Holmes, W. A., Hornstrup, A., Hovest, W., Huffenberger, K. M., Jaffe, A. H., Jones, W. C., Keihänen, E., Keskitalo, R., Kneissl, R., Knoche, J., Kunz, M., Kurki-Suonio, H., Lamarre, J. -M., Lasenby, A., Lawrence, C. R., Leonardi, R., Lesgourgues, J., Liguori, M., Lilje, P. B., Linden-Vørnle, M., López-Caniego, M., Lubin, P. M., Macías-Pérez, J. F., Mandolesi, N., Maris, M., Martin, P. G., Martínez-González, E., Masi, S., Matarrese, S., Mazzotta, P., Meinhold, P. R., Melchiorri, A., Mendes, L., Menegoni, E., Mennella, A., Migliaccio, M., Miville-Deschênes, M. -A., Moneti, A., Montier, L., Morgante, G., Moss, A., Munshi, D., Murphy, J. A., Naselsky, P., Nati, F., Natoli, P., Nørgaard-Nielsen, H. U., Noviello, F., Novikov, D., Novikov, I., Oxborrow, C. A., Pagano, L., Pajot, F., Paoletti, D., Pasian, F., Patanchon, G., Perdereau, O., Perotto, L., Perrotta, F., Piacentini, F., Piat, M., Pierpaoli, E., Pietrobon, D., Plaszczynski, S., Pointecouteau, E., Polenta, G., Ponthieu, N., Popa, L., Pratt, G. W., Prunet, S., Rachen, J. P., Rebolo, R., Reinecke, M., Remazeilles, M., Renault, C., Ricciardi, S., Ristorcelli, I., Rocha, G., Roudier, G., Rusholme, B., Sandri, M., Savini, G., Scott, D., Spencer, L. D., Stolyarov, V., Sudiwala, R., Sutton, D., Suur-Uski, A. -S., Sygnet, J. -F., Tauber, J. A., Tavagnacco, D., Terenzi, L., Toffolatti, L., Tomasi, M., Tristram, M., Tucci, M., Uzan, J. -P., Valenziano, L., Valiviita, J., Van Tent, B., Vielva, P., Villa, F., Wade, L. A., Yvon, D., Zacchei, A., and Zonca, A. Wed . "Planck intermediate results: XXIV. Constraints on variations in fundamental constants*". United States. doi:10.1051/0004-6361/201424496. https://www.osti.gov/servlets/purl/1524034.
@article{osti_1524034,
title = {Planck intermediate results: XXIV. Constraints on variations in fundamental constants*},
author = {Ade, P. A. R. and Aghanim, N. and Arnaud, M. and Ashdown, M. and Aumont, J. and Baccigalupi, C. and Banday, A. J. and Barreiro, R. B. and Battaner, E. and Benabed, K. and Benoit-Lévy, A. and Bernard, J. -P. and Bersanelli, M. and Bielewicz, P. and Bond, J. R. and Borrill, J. and Bouchet, F. R. and Burigana, C. and Butler, R. C. and Calabrese, E. and Chamballu, A. and Chiang, H. C. and Christensen, P. R. and Clements, D. L. and Colombo, L. P. L. and Couchot, F. and Curto, A. and Cuttaia, F. and Danese, L. and Davies, R. D. and Davis, R. J. and de Bernardis, P. and de Rosa, A. and de Zotti, G. and Delabrouille, J. and Diego, J. M. and Dole, H. and Doré, O. and Dupac, X. and Enßlin, T. A. and Eriksen, H. K. and Fabre, O. and Finelli, F. and Forni, O. and Frailis, M. and Franceschi, E. and Galeotta, S. and Galli, S. and Ganga, K. and Giard, M. and González-Nuevo, J. and Górski, K. M. and Gregorio, A. and Gruppuso, A. and Hansen, F. K. and Hanson, D. and Harrison, D. L. and Henrot-Versillé, S. and Hernández-Monteagudo, C. and Herranz, D. and Hildebrandt, S. R. and Hivon, E. and Hobson, M. and Holmes, W. A. and Hornstrup, A. and Hovest, W. and Huffenberger, K. M. and Jaffe, A. H. and Jones, W. C. and Keihänen, E. and Keskitalo, R. and Kneissl, R. and Knoche, J. and Kunz, M. and Kurki-Suonio, H. and Lamarre, J. -M. and Lasenby, A. and Lawrence, C. R. and Leonardi, R. and Lesgourgues, J. and Liguori, M. and Lilje, P. B. and Linden-Vørnle, M. and López-Caniego, M. and Lubin, P. M. and Macías-Pérez, J. F. and Mandolesi, N. and Maris, M. and Martin, P. G. and Martínez-González, E. and Masi, S. and Matarrese, S. and Mazzotta, P. and Meinhold, P. R. and Melchiorri, A. and Mendes, L. and Menegoni, E. and Mennella, A. and Migliaccio, M. and Miville-Deschênes, M. -A. and Moneti, A. and Montier, L. and Morgante, G. and Moss, A. and Munshi, D. and Murphy, J. A. and Naselsky, P. and Nati, F. and Natoli, P. and Nørgaard-Nielsen, H. U. and Noviello, F. and Novikov, D. and Novikov, I. and Oxborrow, C. A. and Pagano, L. and Pajot, F. and Paoletti, D. and Pasian, F. and Patanchon, G. and Perdereau, O. and Perotto, L. and Perrotta, F. and Piacentini, F. and Piat, M. and Pierpaoli, E. and Pietrobon, D. and Plaszczynski, S. and Pointecouteau, E. and Polenta, G. and Ponthieu, N. and Popa, L. and Pratt, G. W. and Prunet, S. and Rachen, J. P. and Rebolo, R. and Reinecke, M. and Remazeilles, M. and Renault, C. and Ricciardi, S. and Ristorcelli, I. and Rocha, G. and Roudier, G. and Rusholme, B. and Sandri, M. and Savini, G. and Scott, D. and Spencer, L. D. and Stolyarov, V. and Sudiwala, R. and Sutton, D. and Suur-Uski, A. -S. and Sygnet, J. -F. and Tauber, J. A. and Tavagnacco, D. and Terenzi, L. and Toffolatti, L. and Tomasi, M. and Tristram, M. and Tucci, M. and Uzan, J. -P. and Valenziano, L. and Valiviita, J. and Van Tent, B. and Vielva, P. and Villa, F. and Wade, L. A. and Yvon, D. and Zacchei, A. and Zonca, A.},
abstractNote = {Any variation in the fundamental physical constants, more particularly in the fine structure constant, α, or in the mass of the electron, me, affects the recombination history of the Universe and cause an imprint on the cosmic microwave background angular power spectra. We demonstrate that the Planck data allow one to improve the constraint on the time variation of the fine structure constant at redshift z ∼ 103 by about a factor of 5 compared to WMAP data, as well as to break the degeneracy with the Hubble constant, H0. In addition to α, we can set a constraint on the variation in the mass of the electron, me, and in the simultaneous variation of the two constants. We study in detail the degeneracies between fundamental constants and the cosmological parameters, in order to compare the limits obtained from Planck and WMAP and to determine the constraining power gained by including other cosmological probes. We conclude that independent time variations of the fine structure constant and of the mass of the electron are constrained by Planck to Δα/α = (3.6 ± 3.7) × 10-3 and Δme/me = (4 ± 11) × 10-3 at the 68% confidence level. We also investigate the possibility of a spatial variation of the fine structure constant. The relative amplitude of a dipolar spatial variation in α (corresponding to a gradient across our Hubble volume) is constrained to be δα/α = (-2.4 ± 3.7) × 10-2.},
doi = {10.1051/0004-6361/201424496},
journal = {Astronomy and Astrophysics},
number = ,
volume = 580,
place = {United States},
year = {2015},
month = {7}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 37 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

On the Nuclear Physical Stability of the Uranium Minerals
journal, October 1956

  • Kuroda, P. K.
  • The Journal of Chemical Physics, Vol. 25, Issue 4
  • DOI: 10.1063/1.1743058

How massless neutrinos affect the cosmic microwave background damping tail
journal, April 2013


Wall of fundamental constants
journal, February 2011


Planck 2013 results. XXVII. Doppler boosting of the CMB: Eppur si muove
journal, October 2014


Testing the Stability of Fundamental Constants with the H g + 199 Single-Ion Optical Clock
journal, April 2003


Limit on the Temporal Variation of the Fine-Structure Constant Using Atomic Dysprosium
journal, January 2007


The Atacama Cosmology Telescope: temperature and gravitational lensing power spectrum measurements from three seasons of data
journal, April 2014

  • Das, Sudeep; Louis, Thibaut; Nolta, Michael R.
  • Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 04
  • DOI: 10.1088/1475-7516/2014/04/014

Constraints on the variation of the fine structure constant from big bang nucleosynthesis
journal, July 1999


Inference from Iterative Simulation Using Multiple Sequences
journal, November 1992


Sterile neutrinos with eV masses in cosmology — How disfavoured exactly?
journal, September 2011

  • Hamann, Jan; Hannestad, Steen; Raffelt, Georg G.
  • Journal of Cosmology and Astroparticle Physics, Vol. 2011, Issue 09
  • DOI: 10.1088/1475-7516/2011/09/034

The 6dF Galaxy Survey: baryon acoustic oscillations and the local Hubble constant: 6dFGS: BAOs and the local Hubble constant
journal, July 2011


Tilted physics: A cosmologically dipole-modulated sky
journal, July 2011


Constraining the time variation of the coupling constants from cosmic microwave background: effect of Λ QCD
journal, January 2010

  • Nakashima, Masahiro; Ichikawa, Kazuhide; Nagata, Ryo
  • Journal of Cosmology and Astroparticle Physics, Vol. 2010, Issue 01
  • DOI: 10.1088/1475-7516/2010/01/030

The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: constraints on the time variation of fundamental constants from the large-scale two-point correlation function
journal, July 2013

  • Scóccola, Claudia G.; Sánchez, Ariel G.; Rubiño-Martín, J. A.
  • Monthly Notices of the Royal Astronomical Society, Vol. 434, Issue 2
  • DOI: 10.1093/mnras/stt1143

Looking for a varying α in the cosmic microwave background
journal, November 2000


HEALPix: A Framework for High‐Resolution Discretization and Fast Analysis of Data Distributed on the Sphere
journal, April 2005

  • Gorski, K. M.; Hivon, E.; Banday, A. J.
  • The Astrophysical Journal, Vol. 622, Issue 2
  • DOI: 10.1086/427976

Is there further evidence for spatial variation of fundamental constants?
journal, June 2011


c is the speed of light, isn’t it?
journal, March 2005

  • Ellis, George F. R.; Uzan, Jean-Philippe
  • American Journal of Physics, Vol. 73, Issue 3
  • DOI: 10.1119/1.1819929

Constraining fundamental physics with future CMB experiments
journal, December 2010


Where are the walls? Spatial variation in the fine-structure constant
journal, August 2012


Do the ‘Constants of Nature’ change with Time?
journal, June 1958


Cosmic concordance and the fine structure constant
journal, January 2001


Nucleosynthesis and the variation of fundamental couplings
journal, October 2004

  • Müller, Christian M.; Schäfer, Gregor; Wetterich, Christof
  • Physical Review D, Vol. 70, Issue 8
  • DOI: 10.1103/PhysRevD.70.083504

CMB constraints on the simultaneous variation of the fine structure constant and the electron mass
journal, July 2006


Coupled variations of fundamental couplings and primordial nucleosynthesis
journal, July 2007


PArthENoPE: Public algorithm evaluating the nucleosynthesis of primordial elements
journal, June 2008


Constraints on mode couplings and modulation of the CMB with WMAP data
journal, April 2005


Spatial variation in the fine-structure constant - new results from VLT/UVES: Spatial variation in the fine-structure constant
journal, April 2012


HyRec: A fast and highly accurate primordial hydrogen and helium recombination code
journal, February 2011


Constraints on Changes in Fundamental Constants from a Cosmologically Distant OH Absorber or Emitter
journal, December 2005


From Cavendish to PLANCK: Constraining Newton’s gravitational constant with CMB temperature and polarization anisotropy
journal, July 2009


Dimensionless cosmology
journal, May 2012


CODATA recommended values of the fundamental physical constants: 2006
journal, June 2008

  • Mohr, Peter J.; Taylor, Barry N.; Newell, David B.
  • Reviews of Modern Physics, Vol. 80, Issue 2
  • DOI: 10.1103/RevModPhys.80.633

IceCube sensitivity for low-energy neutrinos from nearby supernovae ( Corrigendum )
journal, February 2014


Fine structure constant and the CMB damping scale
journal, May 2012


Effects of the variation of fundamental constants on Population III stellar evolution
journal, May 2010


Estimators for CMB statistical anisotropy
journal, September 2009


The acceleration of the universe and the physics behind it
journal, January 2007


How well do we understand cosmological recombination?
journal, May 2008


Srianand et al. Reply:
journal, December 2007


Planck 2013 results. XV. CMB power spectra and likelihood
journal, October 2014


The Atacama Cosmology Telescope: cosmological parameters from three seasons of data
journal, October 2013

  • Sievers, Jonathan L.; Hlozek, Renée A.; Nolta, Michael R.
  • Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 10
  • DOI: 10.1088/1475-7516/2013/10/060

The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: a large sample of mock galaxy catalogues
journal, October 2012

  • Manera, Marc; Scoccimarro, Roman; Percival, Will J.
  • Monthly Notices of the Royal Astronomical Society, Vol. 428, Issue 2
  • DOI: 10.1093/mnras/sts084

Big bang nucleosynthesis and tensor-scalar gravity
journal, May 1999


Evolution of the fine structure constant driven by dark matter and the cosmological constant
journal, April 2002


The anthropic significance of the existence of an excited state of 12C
journal, July 1989

  • Livio, M.; Hollowell, D.; Weiss, A.
  • Nature, Vol. 340, Issue 6231
  • DOI: 10.1038/340281a0

Search for TeV Gamma-ray Emission from GRB 100621A, an extremely bright GRB in X-rays, with H.E.S.S.
journal, April 2014


A New Calculation of the Recombination Epoch
journal, September 1999

  • Seager, S.; Sasselov, D. D.; Scott, D.
  • The Astrophysical Journal, Vol. 523, Issue 1
  • DOI: 10.1086/312250

Measuring α in the early Universe: cosmic microwave background polarization, re-ionization and the Fisher matrix analysis
journal, July 2004


A Measurement of Secondary Cosmic Microwave Background Anisotropies with two Years of South pole Telescope Observations
journal, July 2012


Constraints on the variations of the fundamental couplings
journal, August 2002


Cosmic Black-Body Radiation and Galaxy Formation
journal, January 1968

  • Silk, Joseph
  • The Astrophysical Journal, Vol. 151
  • DOI: 10.1086/149449

Analytic approach to the polarization of the cosmic microwave background in flat and open universes
journal, September 1995


Big bang nucleosynthesis constraints on scalar-tensor theories of gravity
journal, April 2006


How Exactly Did the Universe Become Neutral?
journal, June 2000

  • Seager, Sara; Sasselov, Dimitar D.; Scott, Douglas
  • The Astrophysical Journal Supplement Series, Vol. 128, Issue 2
  • DOI: 10.1086/313388

Direct test of the constancy of fundamental nuclear constants
journal, November 1976


Variation of the Fundamental Constants: Theory and Observations
journal, October 2007


The fundamental constants and their variation: observational and theoretical status
journal, April 2003


Constraining nonstandard recombination: A worked example
journal, March 2001


Small-angle anisotropy of the microwave background radiation in the adiabatic theory
journal, April 1983


Constraining variations in the fine-structure constant with the cosmic microwave background
journal, June 1999


New constraints on variations of the fine structure constant from CMB anisotropies
journal, October 2009


A 2 per cent distance to z = 0.35 by reconstructing baryon acoustic oscillations – I. Methods and application to the Sloan Digital Sky Survey : A 2 per cent distance to z = 0.35
journal, November 2012

  • Padmanabhan, Nikhil; Xu, Xiaoying; Eisenstein, Daniel J.
  • Monthly Notices of the Royal Astronomical Society, Vol. 427, Issue 3
  • DOI: 10.1111/j.1365-2966.2012.21888.x

NINE-YEAR WILKINSON MICROWAVE ANISOTROPY PROBE ( WMAP ) OBSERVATIONS: FINAL MAPS AND RESULTS
journal, September 2013

  • Bennett, C. L.; Larson, D.; Weiland, J. L.
  • The Astrophysical Journal Supplement Series, Vol. 208, Issue 2
  • DOI: 10.1088/0067-0049/208/2/20

Astronomical Constraints on the Cosmic Evolution of the Fine Structure Constant and Possible Quantum Dimensions
journal, December 2000


Mach's Principle and Invariance under Transformation of Units
journal, March 1962


The primordial helium abundance from updated emissivities
journal, November 2013

  • Aver, Erik; Olive, Keith A.; Porter, R. L.
  • Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 11
  • DOI: 10.1088/1475-7516/2013/11/017

Fundamental constants and high-resolution spectroscopy: Fundamental constants and high-resolution spectroscopy
journal, January 2014

  • Bonifacio, P.; Rahmani, H.; Whitmore, J. B.
  • Astronomische Nachrichten, Vol. 335, Issue 1
  • DOI: 10.1002/asna.201312005

Indications of a Spatial Variation of the Fine Structure Constant
journal, October 2011


Early-universe constraints on a time-varying fine structure constant
journal, October 2001


The nuclear interaction at Oklo 2 billion years ago
journal, May 2000


Constraints on time variation of fine structure constant from WMAP-3yr data
journal, November 2007


Planck 2013 results. XVII. Gravitational lensing by large-scale structure
journal, October 2014


Spatial variation of the fine-structure parameter and the cosmic microwave background
journal, November 2003


Further Evidence for Cosmological Evolution of the Fine Structure Constant
journal, August 2001


Anisotropies in the cosmic microwave background: an analytic approach
journal, May 1995

  • Hu, Wayne; Sugiyama, Naoshi
  • The Astrophysical Journal, Vol. 444
  • DOI: 10.1086/175624

Probing the Friedmann equation during recombination with future cosmic microwave background experiments
journal, March 2003


Physical Constants in Extra-Galactic Nebulæ
journal, September 1956


NINE-YEAR WILKINSON MICROWAVE ANISOTROPY PROBE ( WMAP ) OBSERVATIONS: COSMOLOGICAL PARAMETER RESULTS
journal, September 2013

  • Hinshaw, G.; Larson, D.; Komatsu, E.
  • The Astrophysical Journal Supplement Series, Vol. 208, Issue 2
  • DOI: 10.1088/0067-0049/208/2/19

Constraints on variation in α and m e from WMAP 7-year data
journal, July 2010


A 3% SOLUTION: DETERMINATION OF THE HUBBLE CONSTANT WITH THE HUBBLE SPACE TELESCOPE AND WIDE FIELD CAMERA 3
journal, March 2011


Gyromagnetic factors and atomic clock constraints on the variation of fundamental constants
journal, November 2011


WMAP 5-year constraints on time variation of α and <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mi>m</mml:mi><mml:mi>e</mml:mi></mml:msub></mml:math> in a detailed recombination scenario
journal, November 2008


WMAP constraints on varying α and the promise of reionization
journal, April 2004


Constraints on the Time Variation of the Fine Structure Constant by the 5-Year WMAP Data
journal, December 2008

  • Nakashima, M.; Nagata, R.; Yokoyama, J.
  • Progress of Theoretical Physics, Vol. 120, Issue 6
  • DOI: 10.1143/PTP.120.1207

The Oklo bound on the time variation of the fine-structure constant revisited
journal, November 1996


Cosmological observations in scalar-tensor quintessence
journal, July 2002


Clusters of galaxies and variation of the fine structure constant
journal, June 2013


Frequency Ratio of Al+ and Hg+ Single-Ion Optical Clocks; Metrology at the 17th Decimal Place
journal, March 2008


Cosmic microwave background bispectrum on small angular scales
journal, September 2008


Time variability of α from realistic models of Oklo reactors
journal, August 2006


How accurately can we measure the hydrogen 2 S →1 S transition rate from the cosmological data?
journal, June 2012

  • Mukhanov, Viatcheslav; Kim, Jaiseung; Naselsky, Pavel
  • Journal of Cosmology and Astroparticle Physics, Vol. 2012, Issue 06
  • DOI: 10.1088/1475-7516/2012/06/040

Varying Constants, Gravitation and Cosmology
journal, March 2011