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Eddington’s critical thoughts on general relativity: insights in the light of modern cosmology

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Abstract

The article recalls some of the critical remarks and thoughts of Sir Arthur Stanley Eddington on general relativity published by him in two culturally rich volumes—Space, Time and Gravitation (STG) (1920) and The Mathematical Theory of Relativity (MTR) (1923). When one looks back on these remarks, which were considered as only of historical importance in relativity, it can be seen how relevant they are in the context of modern cosmology. Eddington’s ambitious connection between the cosmical constant and elementary particles, nature of the relativistic field equation and microscopic behaviour of spacetime metric is realised to be precursors of current attempts in realising a union between gravity and the quantum. An attempt to quantify some of his remarks on the cosmical constant is presented. Remarks on nature of space and matter in the scale of elementary particles are reviewed in the light of present understanding of quantum gravity. Whereas the consideration of the cosmical constant has deeply penetrating meaning for classical and quantum cosmology, his interpretation of the geodesic structure of the world leads to the relational philosophy. Progress in some of his ideas is discussed in the context of modern cosmology. It is inferred that Eddington’s relativistic philosophy of matter and space seeded the germ of new physics and cosmology being envisioned today.

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Data Availability Statement

This manuscript has associated data in a data repository. [Authors' comment: Data generated in this manuscript will be shared if the corresponding author is requested by stating reasonable requirements.]

References

  1. I. Durham, Sir Arthur Eddington and the foundation of modern physics (2006). arxiv:quant-ph/0603146

  2. S.R. French, Scribbling on the blank sheet: Eddington’s structuralist conception of objects. Stud. Hist. Philos. Mod. Phys. 34, 227 (2003)

    Article  Google Scholar 

  3. C.W. Kilmister, Eddington’s Search for a Fundamental Theory: A Key to the Universe (Cambridge University Press, Cambridge, 1994)

    Google Scholar 

  4. P. Wesson, On the re-emergence of Eddington’s philosophy of science. Observatory 120, 59 (2000)

    ADS  Google Scholar 

  5. A.S.E. Eddington, Space, Time and Gravitation (Cambridge University Press, Cambridge, 1920)

    Google Scholar 

  6. A.S.E. Eddington, The Mathematical Theory of Relativity (Cambridge University Press, Cambridge, 1923)

    MATH  Google Scholar 

  7. C.O. Raifeartaigh et al., One hundred years of the cosmological constant: from “superfluous stunt” to dark energy. EPJ H 43, 73 (2018)

    Article  ADS  Google Scholar 

  8. S.J. Prokhovnik, Eddington’s expanding universe, in Relativistic Astrophysics and Cosmology: Proceedings of the Sir Arthur Eddington Centenary Symposium, vol. 1, ed. by V. De Sabbata and T.M. Karade (World Scientific, Singapore, 1984), p. 28

  9. H. Kragh, On Arthur Eddington’s Theory of Everything (2015). arXiv: 1510.04046

  10. A.S.E. Eddington, On the value of the cosmical constant. Proc. Roy. Soc. A 133(822), 605 (1931)

    ADS  MATH  Google Scholar 

  11. Y.B. Zeldovich, A. Krasinski, The cosmological constant and the theory of elementary particles. Sov. Phys. Usp. 11, 381 (1968)

    Article  ADS  Google Scholar 

  12. C. Rovelli, Reality is Not What it Seems: The Journey to Quantum Gravity (Penguin Books, 2017)

    Google Scholar 

  13. C. Rovelli, Space and time in loop quantum gravity (2018). arXiv:1802.02382

  14. L. Amendola, S. Tsujikawa, Dark Energy: Theory and Observations (Cambridge University Press, 2010)

    Book  MATH  Google Scholar 

  15. R.R. Caldwell, R. Dave, P.J. Steinhardt, Cosmological imprint of an energy component with general equation of state. Phys. Rev. Lett. 80, 1582 (1998)

    Article  ADS  MATH  Google Scholar 

  16. W. Hu, R. Barkana, A. Gruzinov, Cold and fuzzy dark matter. Phys. Rev. Lett. 85, 1158 (2000)

    Article  ADS  Google Scholar 

  17. R. Kallosh et al., Supergravity, dark energy, and the fate of the universe. Phys. Rev. D 66, 123503 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  18. R. Kallosh, et al., Supergravity, M theory and cosmology (2002b). arXiv:hep-th/0205315

  19. L.J. Hall, Y. Nomura, S.J. Oliver, Evolving dark energy with ω≠−1. Phys. Rev. Lett. 95, 141302 (2005)

    Article  ADS  Google Scholar 

  20. V. Sahni, A. Starobinsky, The case for a positive cosmological Λ term. IJMPD 9(4), 373 (2000)

    Article  ADS  Google Scholar 

  21. R. Brandenberger, A.E. Damien, D. Kimberly, Loitering phase in brane gas cosmology (2001). arXiv:hep-th/0109165

  22. A.S.E. Eddington, On the instability of Einstein’s spherical world. MNRAS 90, 668 (1930)

    Article  ADS  MATH  Google Scholar 

  23. A.S.E. Eddington, The recession of the extragalactic nebulae. MNRAS 92, 3 (1931)

    Article  ADS  Google Scholar 

  24. V. Sahni, Y. Shtanov, Did the universe loiter at high redshift? Phys. Rev. D 71, 084018 (2005)

    Article  ADS  Google Scholar 

  25. S. Alexander, R. Brandenberger, D. Easson, Brane gases in the early universe. Phys. Rev. D 62, 103509 (2000)

    Article  ADS  Google Scholar 

  26. M. Chevalier, D. Polarski, Accelerating universes with scaling dark Matter. IJMPD 10, 213 (2001)

    Article  ADS  Google Scholar 

  27. V. Sahni, H. Feldman, A. Stebbins, Loitering universe. APJ 385, 1 (1992)

    Article  ADS  Google Scholar 

  28. V. Sahni, S. Habib, Does inflationary particle production suggest Ωm<1? Phys. Rev. Lett. 81, 1766 (1998)

    Article  ADS  Google Scholar 

  29. J.A. Wheeler, On the nature of quantum geometrodynamics. Ann. Phys. 2, 604 (1957)

    Article  ADS  MATH  Google Scholar 

  30. C.W. Misner, K.S. Thorne, J.A. Wheeler, Gravitation (W. H, Freeman, San Francisco, 1973)

    Google Scholar 

  31. V. Dzhunushaliev, V. Folomeev, B. Kleihaus, J. Kunz, Modified gravity from the nonperturbative quantization of a metric. Eur. Phys. J. C 75, 157 (2015)

    Article  ADS  Google Scholar 

  32. R.R. Caldwell, M. Kamionkowski, The physics of cosmic acceleration. Ann. Rev. Nucl. Part. Sci. 59, 397 (2009)

    Article  ADS  Google Scholar 

  33. R.J. Yang, Effects of quantum fluctuations of metric on the universe. Phys. Dark Univer. 13, 87 (2016)

    Article  ADS  Google Scholar 

  34. M. Banados, P.G. Ferreira, Eddington’s theory of gravity and its progeny. Phys. Rev. Lett. 105, 011101 (2010)

    Article  ADS  MathSciNet  Google Scholar 

  35. M. Born, L. Infeld, Foundations of the new field theory. Proc. R. Soc. A 144, 425 (1934)

    ADS  MATH  Google Scholar 

  36. C.Y. Chen, M.B. Lopez, P. Chen, Modified Eddington-ispired-Born–Infeld gravity with a trace term (2015). arXiv:1507.00028

  37. S.D. Odintsov, V.K. Oikonomou, Modified gravity as the engine for accelerated expansion: unifying inflation with dark energy and dark matter, in The 14th Marcel Grossmann Meeting (2017), p. 1152

  38. A. Starobinsky, A new type of isotropic cosmological models without singularity. Phys. Lett. B 91, 99 (1980)

    Article  ADS  MATH  Google Scholar 

  39. S. Nojiri, S.D. Odintsov, Introduction to modified gravity and gravitational alternative for dark energy. Int. J. Geom. Methods Mod. Phys. 4, 115 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  40. S. Nojiri et al., Modified gravity theories on a nutshell: inflation, bounce and late time evolution. Phys. Rep. 692, 1 (2017)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  41. D. Borka et al., Constraint on Rn gravity from precession of orbits of S2-like stars. Phys. Rev. D 85, 124004 (2012)

    Article  ADS  Google Scholar 

  42. S. Kalita, Gravitational theories near the Galactic Centre. ApJ 855, 70 (2018)

    Article  ADS  Google Scholar 

  43. S. Kalita, The galactic centre black hole, Sgr A*, as a probe of new gravitational physics with the scalaron fifth force. APJ 893, 31 (2020)

    Article  ADS  Google Scholar 

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  1. Department of Physics, Gauhati University, Guwahati, Assam, 781014, India

    Sanjeev Kalita

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  1. Sanjeev Kalita
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Kalita, S. Eddington’s critical thoughts on general relativity: insights in the light of modern cosmology. Eur. Phys. J. Plus 137, 264 (2022). https://doi.org/10.1140/epjp/s13360-022-02474-4

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