Comptes Rendus
Review article
Astrophysical invariance of the fine-structure constant: observation and theory
Comptes Rendus. Physique, Volume 27 (2026), pp. 91-99

A theoretical result based on nonlinear quantum electrodynamics could suggest the invariance of the fine-structure constant everywhere in the Universe and at any epochs of its history. The present paper updates while summarizing this theoretical framework, and provides a critical survey of recent astrophysical observations related to this constant’s value. We conclude that, from an observational point of view, this constant could indeed be invariant over cosmic space and epochs, in line with the theoretical study.

Un résultat théorique basé sur l’électrodynamique quantique non linéaire pourrait suggérer l’invariance de la constante de structure fine partout dans l’Univers et à toutes les époques de son histoire. Le présent article résume ce cadre théorique et fournit une étude critique des observations astrophysiques récentes liées à la valeur de cette constante. Nous concluons que, d’un point de vue observationnel, cette constante pourrait en effet être invariante dans l’espace cosmique et à toutes les époques, conformément à l’étude théorique.

Received:
Revised:
Accepted:
Published online:
DOI: 10.5802/crphys.275
Keywords: Fine structure constant, quantum electrodynamics, astrophysics
Mots-clés : Constante de structure fine, électrodynamique quantique, astrophysique

Patrick de Laverny  1 ; Gilbert Reinisch  1

1 Université Côte d’Azur, Observatoire de la Côte d’Azur, CNRS, Lab. Lagrange, Nice, France
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights
Patrick de Laverny; Gilbert Reinisch. Astrophysical invariance of the fine-structure constant: observation and theory. Comptes Rendus. Physique, Volume 27 (2026), pp. 91-99. doi: 10.5802/crphys.275
@article{CRPHYS_2026__27_G1_91_0,
     author = {Patrick de Laverny and Gilbert Reinisch},
     title = {Astrophysical invariance of the fine-structure constant: observation and theory},
     journal = {Comptes Rendus. Physique},
     pages = {91--99},
     year = {2026},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {27},
     doi = {10.5802/crphys.275},
     language = {en},
}
TY  - JOUR
AU  - Patrick de Laverny
AU  - Gilbert Reinisch
TI  - Astrophysical invariance of the fine-structure constant: observation and theory
JO  - Comptes Rendus. Physique
PY  - 2026
SP  - 91
EP  - 99
VL  - 27
PB  - Académie des sciences, Paris
DO  - 10.5802/crphys.275
LA  - en
ID  - CRPHYS_2026__27_G1_91_0
ER  - 
%0 Journal Article
%A Patrick de Laverny
%A Gilbert Reinisch
%T Astrophysical invariance of the fine-structure constant: observation and theory
%J Comptes Rendus. Physique
%D 2026
%P 91-99
%V 27
%I Académie des sciences, Paris
%R 10.5802/crphys.275
%G en
%F CRPHYS_2026__27_G1_91_0

[1] P. A. R. Ade; N. Aghanim; C. Armitage-Caplan; M. Arnaud; M. Ashdown; F. Atrio-Barandela; J. Aumont; C. Baccigalupi; A. J. Banday; R. B. Barreiro; J. G. Bartlett; E. Battaner; K. Benabed; A. Benoît; A. Benoit-Lévy; J.-P. Bernard; M. Bersanelli; P. Bielewicz; J. Bobin; J. J. Bock; A. Bonaldi; J. R. Bond; J. Borrill; F. R. Bouchet; M. Bridges; M. Bucher; C. Burigana; R. C. Butler; E. Calabrese; B. Cappellini; J.-F. Cardoso; A. Catalano; A. Challinor; A. Chamballu; R.-R. Chary; X. Chen; H. C. Chiang; L.-Y. Chiang; P. R. Christensen; S. Church; D. L. Clements; S. Colombi; L. P. L. Colombo; F. Couchot; A. Coulais; B. P. Crill; A. Curto; F. Cuttaia; L. Danese; R. D. Davies; R. J. Davis; P. de Bernardis; A. de Rosa; G. de Zotti; J. Delabrouille; J.-M. Delouis; F.-X. Désert; C. Dickinson; J. M. Diego; K. Dolag; H. Dole; S. Donzelli; O. Doré; M. Douspis; J. Dunkley; X. Dupac; G. Efstathiou; F. Elsner; T. A. Enßlin; H. K. Eriksen; F. Finelli; O. Forni; M. Frailis; A. A. Fraisse; E. Franceschi; T. C. Gaier; S. Galeotta; S. Galli; K. Ganga; M. Giard; G. Giardino; Y. Giraud-Héraud; E. Gjerløw; J. González-Nuevo; K. M. Górski; S. Gratton; A. Gregorio; A. Gruppuso; J. E. Gudmundsson; J. Haissinski; J. Hamann; F. K. Hansen; D. Hanson; D. Harrison; S. Henrot-Versillé; C. Hernández-Monteagudo; D. Herranz; S. R. Hildebrandt; E. Hivon; M. Hobson; W. A. Holmes; A. Hornstrup; Z. Hou; W. Hovest; K. M. Huffenberger; A. H. Jaffe; T. R. Jaffe; J. Jewell; W. C. Jones; M. Juvela; E. Keihänen; R. Keskitalo; T. S. Kisner; R. Kneissl; J. Knoche; L. Knox; M. Kunz; H. Kurki-Suonio; G. Lagache; A. Lähteenmäki; J.-M. Lamarre; A. Lasenby; M. Lattanzi; R. J. Laureijs; C. R. Lawrence; S. Leach; J. P. Leahy; R. Leonardi; J. León-Tavares; J. Lesgourgues; A. Lewis; M. Liguori; P. B. Lilje; M. Linden-Vørnle; M. López-Caniego; P. M. Lubin; J. F. Macías-Pérez; B. Maffei; D. Maino; N. Mandolesi; M. Maris; D. J. Marshall; P. G. Martin; E. Martínez-González; S. Masi; M. Massardi; S. Matarrese; F. Matthai; P. Mazzotta; P. R. Meinhold; A. Melchiorri; J.-B. Melin; L. Mendes; E. Menegoni; A. Mennella; M. Migliaccio; M. Millea; S. Mitra; M.-A. Miville-Deschênes; A. Moneti; L. Montier; G. Morgante; D. Mortlock; A. Moss; D. Munshi; J. A. Murphy; P. Naselsky; F. Nati; P. Natoli; C. B. Netterfield; H. U. Nørgaard-Nielsen; F. Noviello; D. Novikov; I. Novikov; I. J. O’Dwyer; S. Osborne; C. A. Oxborrow; F. Paci; L. Pagano; F. Pajot; R. Paladini; D. Paoletti; B. Partridge; F. Pasian; G. Patanchon; D. Pearson; T. J. Pearson; H. V. Peiris; O. Perdereau; L. Perotto; F. Perrotta; V. Pettorino; F. Piacentini; M. Piat; E. Pierpaoli; D. Pietrobon; S. Plaszczynski; P. Platania; E. Pointecouteau Planck 2013 results. XVI. Cosmological parameters, Astron. Astrophys., Volume 571 (2014), A16, 220, 66 pages (Planck Collaboration) | DOI

[2] V. B. Berestetskii; E. M. Lifshitz; L. P. Pitaevskii Quantum Electrodynamics, Pergamon Press, 1982, 081101 | DOI

[3] Claude Cohen-Tannoudji; Jacques Dupont-Roc; Gilbert Grynberg Photons and atoms: introduction to quantum electrodynamics, John Wiley & Sons, 1989

[4] V. A. Dzuba; V. V. Flambaum Search for cosmological variation of the fine-structure constant using relativistic energy shifts in Ge II, Sn II, and Pb II, Phys. Rev. A, Volume 71 (2005), 5 pages

[5] T. M. Evans; M. T. Murphy; J. B. Whitmore; T. Misawa; M. Centurion; S. D’Odorico; S. Lopez; C. J. A. P. Martins; P. Molaro; P. Petitjean; H. Rahmani; R. Srianand; M. Wendt The UVES Large Program for testing fundamental physics - III. Constraints on the fine-structure constant from three telescopes, Mon. Not. Roy. Astron. Soc., Volume 445 (2014) no. 1, pp. 128-150 | DOI

[6] R. P. Feynman QED. The Strange Theory of Light and Matter. (Alix G. Mautner Memorial Lectures), Princeton, Princeton University Press, 1986

[7] A. Hees; T. Do; B. M. Roberts; A. M. Ghez; S. Nishiyama; R. O. Bentley; A. K. Gautam; S. Jia; T. Kara; J. R. Lu; H. Saida; S. Sakai; M. Takahashi; Y. Takamori Search for a Variation of the Fine Structure Constant around the Supermassive Black Hole in Our Galactic Center, Phys. Rev. Lett., Volume 124 (2020) no. 8, 081101, 8 pages | DOI

[8] C. Itzykson, Quantum field theory, McGraw-Hill, 1980 | DOI

[9] L. Jiang; S. Fu; F. Wang; S. E. I. Bosman; Z. Cai; H. D. Jun; Z. Pan; F. Sun; J. Yang; H. Zhang Constraints on the Variation of the Fine-structure Constant at 3 < z < 10 with JWST Emission-line Galaxies, Astrophys. J., Volume 980 (2025) no. 1, 93, 11 pages | DOI

[10] Linhua Jiang; Zhiwei Pan; Jessica Nicole Aguilar; Steven Ahlen; Robert Blum; David Brooks; Todd Claybaugh; Axel de la Macorra; Arjun Dey; Peter Doel; Kevin Fanning; Simone Ferraro; Jaime E. Forero-Romero; Enrique Gaztañaga; Satya Gontcho A Gontcho; Gaston Gutierrez; Klaus Honscheid; Stephanie Juneau; Martin Landriau; Laurent Le Guillou; Michael Levi; Marc Manera; Ramon Miquel; John Moustakas; Eva-Maria Mueller; Andrea Muñoz-Gutiérrez; Adam Myers; Jundan Nie; Gustavo Niz; Claire Poppett; Francisco Prada; Mehdi Rezaie; Graziano Rossi; Eusebio Sanchez; Edward Schlafly; Michael Schubnell; Hee-Jong Seo; David Sprayberry; Gregory Tarlé; Benjamin Alan Weaver; Hu Zou Constraints on the Spacetime Variation of the Fine-structure Constant Using DESI Emission-line Galaxies, Astrophys. J., Volume 968 (2024) no. 2, 120, 13 pages (The DESI Collaboration) | DOI | Zbl

[11] N. Kanekar; G. I. Langston; J. T. Stocke; C. L. Carilli; K. M. Menten Constraining Fundamental Constant Evolution with H I and OH Lines, Astrophys. J. Lett., Volume 746 (2012) no. 2, L16, 169205, 5 pages | DOI | Zbl

[12] S. M. Kotuš; M. T. Murphy; R. F. Carswell High-precision limit on variation in the fine-structure constant from a single quasar absorption system, Mon. Not. Roy. Astron. Soc., Volume 464 (2017) no. 3, 169979, pp. 3679-3703 | DOI | Zbl | MR

[13] S. A. Levshakov; F. Combes; F. Boone; I. I. Agafonova; D. Reimers; M. G. Kozlov An upper limit to the variation in the fundamental constants at redshift z=5.2, Astron. Astrophys., Volume 540 (2012), L9, 016111, 4 pages | DOI

[14] R. Lange; N. Huntemann; J. M. Rahm; C. Sanner; H. Shao; B. Lipphardt; Chr. Tamm; S. Weyers; E. Peik Improved Limits for Violations of Local Position Invariance from Atomic Clock Comparisons, Phys. Rev. Lett., Volume 126 (2021), 6 pages | DOI

[15] G. Li; L. Sun; X Chen; H. Zhou Time variation of fine-structure constant constrained by [O III] emission-lines at 1.1 < z < 3.7, Mon. Not. Roy. Astron. Soc., Volume 527 (2024) no. 3, pp. 4913-4935 | DOI

[16] C.-C. Lee; J. K. Webb; D. Dougan; V. A. Dzuba; V. V. Flambaum Measuring the fine structure constant on white dwarf surfaces; uncertainties from continuum placement variations (2022) | arXiv | DOI

[17] C J A P Martins The status of varying constants: a review of the physics, searches and implications, Rep. Prog. Phys., Volume 80 (2017) no. 12, 126902 | DOI | MR

[18] M. T. Murphy; D. A. Berke; F. Liu; C. Flynn; C. Lehmann; V. A. Dzuba; V. V. Flambaum A limit on variations in the fine-structure constant from spectra of nearby Sun-like stars, Science, Volume 378 (2022) no. 6620, pp. 634-636 | arXiv | DOI

[19] C. J. A. P. Martins; R. Cooke; J. Liske; M. T. Murphy; P. Noterdaeme; T. M. Schmidt; J. S. Alcaniz; C. S. Alves; S. Balashev; S. Cristiani; P. Di Marcantonio; R. Génova Santos; R. S. Gonçalves; J. I. González Hernández; R. Maiolino; A. Marconi; C. M. J. Marques; M. A. F. Melo e Sousa; N. J. Nunes; L. Origlia; C. Péroux; S. Vinzl; A. Zanutta Cosmology and fundamental physics with the ELT-ANDES spectrograph, Exp. Astron., Volume 57 (2024) no. 1, 5, 2, 28 pages | DOI | Zbl

[20] U. Merkt; J. Huser; M. Wagner Energy spectra of two electrons in a harmonic quantum dot, Phys. Rev. B, Volume 43 (1991) no. 9, pp. 7320-7323 | DOI

[21] D. Milaković; C.-C. Lee; R. F. Carswell; J. K. Webb; P. Molaro; L. Pasquini A new era of fine structure constant measurements at high redshift, Mon. Not. Roy. Astron. Soc., Volume 500 (2021) no. 1, 103, pp. 1-21 | DOI

[22] Michael T. Murphy; Paolo Molaro; Ana C. O. Leite; Guido Cupani; Stefano Cristiani; Valentina D’Odorico; Ricardo Génova Santos; Carlos J. A. P. Martins; Dinko Milaković; Nelson J. Nunes; Tobias M. Schmidt; Francesco A. Pepe; Rafael Rebolo; Nuno C. Santos; Sérgio G. Sousa; Maria-Rosa Zapatero Osorio; Manuel Amate; Vardan Adibekyan; Yann Alibert; Carlos Allende Prieto; Veronica Baldini; Willy Benz; François Bouchy; Alexandre Cabral; Hans Dekker; Paolo Di Marcantonio; David Ehrenreich; Pedro Figueira; Jonay I. González Hernández; Marco Landoni; Christophe Lovis; Gaspare Lo Curto; Antonio Manescau; Denis Mégevand; Andrea Mehner; Giuseppina Micela; Luca Pasquini; Ennio Poretti; Marco Riva; Alessandro Sozzetti; Alejandro Suárez Mascareño; Stéphane Udry; Filippo Zerbi Fundamental physics with ESPRESSO: Precise limit on variations in the fine-structure constant towards the bright quasar HE 0515-4414, Astron. Astrophys., Volume 658 (2022), A123, 23 pages | DOI

[23] Daniela Pfannkuche; Vidar Gudmundsson; Peter A. Maksym Comparison of a Hartree, a Hartree-Fock, and an exact treatment of quantum-dot helium, Phys. Rev. B, Volume 47 (1993) no. 4, pp. 2244-2250 | DOI

[24] D. Pfannkuche; R. R. Gerhardts; P. A. Maksym; V. Gudmundsson Theory of quantum dot helium, Phys. B: Condens. Matter, Volume 189 (1993) no. 1–4, A123, pp. 6-15 | DOI

[25] Gilbert Reinisch Mixed-state density operator in a nonlinear quantum system, Ann. Phys., Volume 449 (2023), 169205, L9 | DOI

[26] Gilbert Reinisch Mixed-state density operator in a nonlinear quantum system: Erratum, Ann. Phys., Volume 476 (2025), 169979, L16 | DOI

[27] Gilbert Reinisch Mathematical definition of the fine-structure constant: A clue for fundamental couplings in astrophysics, APL Quantum, Volume 1 (2024) no. 1, 016111, 5 pages | DOI

[28] G. Reinisch; M. Gazeau Role of nonlinearity in non-Hermitian quantum mechanics: Description of linear quantum electrodynamics from the nonlinear Schrödinger-Poisson equation, Eur. Phys. J. Plus, Volume 131 (2016) no. 7, 220, 120 | DOI

[29] M. Stephens Constants Still Constant Near Black Holes, Physics, Volume 13 (2020), 93, pp. 1133-1138 | DOI

[30] A. Songaila; L. L. Cowie Constraining the Variation of the Fine-structure Constant with Observations of Narrow Quasar Absorption Lines, Astrophys. J., Volume 793 (2014) no. 2, 103, 11 pages | arXiv | DOI

[31] J.-P. Uzan Varying Constants, Gravitation and Cosmology, Living Rev. Relativ., Volume 14 (2011) no. 1, 2, 155 pages | DOI

[32] J.-P. Uzan Fundamental constants: from measurement to the universe, a window on gravitation and cosmology (2024), A16 | arXiv | DOI

[33] Wu Wang; Stephan Fritzsche; Yong Li Search for variations of the fine-structure constant via the hyperfine electronic bridge in highly charged 229 Th ions, Phys. Rev. A, Volume 112 (2025), 5, p. 022811 | DOI

Cited by Sources:

Comments - Policy