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Cited by 16Cosmology and Gravitation TheoriesAdvanced Mathematical Theories and ApplicationsDark Matter and Cosmic Phenomena

Which fundamental constants for cosmic microwave background and baryon-acoustic oscillation?

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Rich, James·2015·Astronomy & Astrophysics
DOI 10.1051/0004-6361/201526847
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Abstract

We use the three-scale framework of Hu et al. to show how the cosmic microwave background (CMB) anisotropy spectrum depends on the fundamental constants.As expected, the spectrum depends only on dimensionless combinations of the constants, and we emphasize the points that make this generally true for cosmological observables.Our analysis suggests that the CMB spectrum shape is mostly determined by α 2 m e /m p and by m p /m χ , the proton-CDM-particle mass ratio.The distance to the last-scattering surface depends on Gm p m χ / c, so published CMB observational limits on time variations of the constants implicitly assume the time independence of this quantity, as well as a flat-ΛCDM cosmological model.On the other hand, low-redshift baryon-acoustic oscillation, H 0 , and baryon-mass-fraction measurements can be combined with the shape of the CMB spectrum to give information that is largely independent of these assumptions.In particular, we show that the pre-recombination values of Gm 2 χ / c, m p /m χ , and α 2 m e /m p are equal to their present values at a precision of ∼15%. Key words. cosmic background radiation

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  • The Einstein-Boltzmann equations used to predict CMB+BAO are invariant under rescaling transformations of the Hubble parameter, gravitational constant, Thomson scattering, and amplitude of cosmological perturbations, the latter involving a dependence on the spectral index n_s.

    “It was realized that the Einstein-Boltzmann equations used to predict CMB?BAO is invariant (Rich 2015;Cyr-Racine et al. 2022;Ge et al. 2023) under the rescaling transformationsfoot_19 H ! kH Gq !k 2 Gq r T n e !kr T n e ; A s !A s k 1Àn s of the Hubble parameter, gravitational constant, Thomson scattering and amplitude of the cosmological perturbations, the latter involving a dependence on the”

    From Fundamental constants: from measurement to the universe, a window on gravitation and cosmology (2025) · cites this paper as Rich 2015

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  1. Aubourg, É., Bailey, S., Bautista, J. E., et al. 2014, ArXiv e-prints [arXiv:1411.1074] · arXiv
  2. Avelino, P. P., Martins, C. J. A. P., Rocha, G., & Viana, P. 2000, Phys. Rev. D, 62, 123508 · DOI
  3. Beutler, F., Blake, C., Colless, M., et al. 2011, MNRAS, 416, 3017 · DOI
  4. Blake, C., Collister, A., Bridle, S., & Lahav, O. 2007, MNRAS, 374, 1527 · DOI
  5. Delubac, T., Bautista, J. E., Busca, N. G., et al. 2015, A&A, 574, A59 · DOI
  6. Dicke, R. H. 1962, Phys. Rev., 125, 2163 · DOI
  7. Eisenstein, D. J., & Hu, W. 1998, ApJ, 496, 605 · DOI
  8. Hannestad, S. 1999, Phys. Rev. D, 60, 023515 · DOI
  9. Hu, W., & White, M. 1997, ApJ, 479, 568 · DOI
  10. Hu, W., Sugiyama, N., & Silk, J. 1997, Nature, 386, 37 · DOI
  11. Hu, W., Fukugita, M., Zaldarriaga, M., & Tegmark, M. 2001, ApJ, 549, 669 · DOI
  12. Humphreys, E. M. L., Reid, M. J., Moran, J. M., Greenhill, L. J., & Argon, A. L. 2013, ApJ, 775, 13 · DOI
  13. Ichikawa, K., Kanzaki, T., & Kawasaki, M. 2006, Phys. Rev. D, 74, 023515 · DOI
  14. Kaplinghat, M., Scherrer, R. J., & Turner, M. S. 1999, Phys. Rev. D, 60, 023516 · DOI
  15. Landau, S. J., & Scóccola, G. 2010, A&A, 517, A62 · DOI
  16. Mantz, A. B., Allen, S. W., Morris, R. G., et al. 2014, MNRAS, 440, 2077 · DOI
  17. Nakashima, M., Ichikawa, K., Nagata, R., & Yokoyama, J. 2010, J. Cosmol. Astropart. Phys., 1, 30 · DOI
  18. Padmanabhan, N., Schlegel, D. J., Seljak, U., et al. 2007, MNRAS, 378, 852 · DOI
  19. Planck Collaboration XVI. 2014, A&A, 571, A16 · DOI
  20. Planck Collaboration XIII. 2015a, A&A, submitted [arXiv:1502.01589] · arXiv
  21. Planck Collaboration Int. XXIV. 2015b, A&A, 580, A22 · DOI
  22. Rich, J. 2003, Am. J. Phys., 71, 1043 · DOI
  23. Rocha, G., Trotta, R., Martins, C. J. A. P., et al. 2004, MNRAS, 352, 20 · DOI
  24. Scóccola, C. G., Landau, S. J., & Vucetich, H. 2008, Phys. Lett. B, 669, 212 · DOI
  25. Scóccola, C. G., Landau, S. J., & Vucetich, H. 2009, Mem. Soc. Astron. It., 80, 814 · DOI
  26. Scóccola, C. G., Sánchez, A. G., Rubiño-Martín, J. A., et al. 2013, MNRAS, 434, 1792 · DOI
  27. Seager, S., Sasselov, D. D., & Scott, D. 2000, ApJS, 128, 407 · DOI
  28. Simet, M., Battaglia, N., Mandelbaum, R., & Seljak, U. 2015, ArXiv e-prints [arXiv:1502.01024] · arXiv
  29. Uzan, J.-P. 2011, Liv. Rev. Relat., 14, 2 · DOI
  30. Williams, J. G., Turyshev, S. G., & Boggs, D. H. 2004, Phys. Rev. Lett., 93, 261101 · DOI

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Authors
Rich, J.
Affiliations
Commissariat à l'Énergie Atomique et aux Énergies Alternatives (FR)
Corresponding author
Rich, James
ORCID
Rich, James
Venue
Astronomy & Astrophysics
Publisher
EDP Sciences
Published
2015-11-24
Volume
584
Pages
A69
ISSN
  • 0004-6361 (ISSN-L)
  • 1432-0746
DOI
10.1051/0004-6361/201526847
OpenAlex
W3100074287
Cited by
16
References
30
Citations by year
2025: 5 · 2024: 1 · 2023: 1 · 2022: 2 · 2020: 2 · 2019: 2 · 2018: 1 · 2017: 1 · 2016: 1
FWCI
0.57
Type
journal article
Language
en
Open access
Locations
  • Astronomy and Astrophysics (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • Springer Link (Chiba Institute of Technology) (submittedVersion)
  • HAL (submittedVersion, other-oa)
  • arXiv (Cornell University)
Topics
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Advanced Mathematical Theories and Applications
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Dark Matter and Cosmic Phenomena
Keywords
variation of fundamental constants, baryon acoustic oscillations, Hubble constant, baryon fraction, fine-structure constant, gravitational constant

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