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International Journal of Theoretical Physics

, Volume 44, Issue 2, pp 195–218 | Cite as

Faint Young Sun, Planetary Paleoclimates and Varying Fundamental Constants

  • Roman Tomaschitz
Article

Abstract

The effect of a cosmic time variation of the gravitational constant on the solar luminosity evolution is studied. It is demonstrated that a varying gravitational constant can substantially affect the solar flux at the planetary orbits on geological time scales. Mean surface temperatures well above the freezing point of water can be achieved in this way throughout the Archean and Hadean, without invoking an increased greenhouse effect or a lower albedo. Instead of a monotonous decline of the solar flux in look-back time, due to a dim early Sun, we infer a flux minimum during the Early Proterozoic and Late Archean. In this epoch, the solar flux is capable of generating mean surface temperatures between 7C and 12C, as compared to the present 15C. The flux then steadily increases, culminating in temperatures between 12C and 19C some 4.5 Gry ago, depending on the parameters chosen for the ‘standard’ Sun. This explains the absence of polar caps, and even warm oceans in the Archean and Hadean are possible at these temperatures. No change of the present 33 K greenhouse effect is required. As for Mars, we show that the solar flux at the Martian orbit before 3.8 Gyr was at least 90% of the present-day flux, so that mean surface temperatures above the freezing point could have been generated by CO2 greenhouse warming. The time variation of the gravitational constant is such that the moderate dimensionless ratio ħ2 H0/(k0 cmπ3) stays constant in cosmic time. There are stringent bounds on the logarithmic time derivative of the gravitational constant from lunar laser ranging and helioseismology, which indicate that the first-order derivative at the present epoch is too small to noticeably affect the solar luminosity evolution within the age of the Earth. However, higher-order derivatives have to be taken into account, as they do affect the solar flux in geologic look-back time. We consider the impact of a varying gravitational constant on the redshift scaling of the linear size of radio galaxies. The observed scaling exponent also enters the solar luminosity evolution. The age of the universe has a substantial imprint on planetary paleoclimates.

Key Words

cosmic time radio galaxies solar evolution prebiotic Earth paleoclimatology 

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References

  1. Barthel, P. D. and Miley, G. K. (1988). Evolution of radio structure in quasars-A new probe of protogalaxies? Nature 333, 319–325.Google Scholar
  2. Carr, M. H. (1996). Water on Mars, Oxford University Press, New York.Google Scholar
  3. Christensen-Dalsgaard, J. (1998). The ‘standard’ Sun, Space Science Reviews 85, 19–36.Google Scholar
  4. Dyson, F. J. (1979). Time without end: physics and biology in an open universe, Reviews of Modern Physics 51, 447–460.Google Scholar
  5. Forget, F. and Pierrehumbert, R. T. (1997). Warming early Mars with carbon dioxide clouds that scatter infrared radiation, Nature 278, 1273–1276.Google Scholar
  6. Gilliland, R. L. (1989). Solar evolution, Palaeogeography, Palaeoclimatology, Palaeoecology 75, 35–55.Google Scholar
  7. Gough, D. O. (1981). Solar interior structure and luminosity variations, Solar Physics 74, 21–34.Google Scholar
  8. Grevesse, N., Noels, A., and Sauval, A. J. (1996). Standard abundances. In Cosmic Abundances, S. S. Holt and G. Sonneborn, eds., ASP, San Francisco, pp. 117–126.Google Scholar
  9. Grevesse, N. and Sauval, A. J. (1998). Standard solar composition, Space Science Reviews 85, 161–174.Google Scholar
  10. Guenther, D. B., Krauss, L. M., and Demarque, P. (1998). Testing the constancy of the gravitational constant using helioseismology, Astrophysical Journal 498, 871–876.Google Scholar
  11. Habicht, K. S. et al. (2002). Calibration of sulfate levels in the Archean ocean, Science 298, 2372–2374.PubMedGoogle Scholar
  12. Kapahi, V. K. (1989). Redshift and luminosity dependence of the linear sizes of powerful radio galaxies, Astrophysical Journal 97, 1–9.Google Scholar
  13. Kasting, J. F. (1989). Long-term stability of the Earth’s climate, Palaeogeography, Palaeoclimatology, Palaeoecology 75, 83–95.Google Scholar
  14. Kasting, J. F. (1991). CO2 condensation and the climate of early Mars, Icarus 94, 1–13.PubMedGoogle Scholar
  15. Kasting, J. F. and Catling, D. (2003). Evolution of a habitable planet, Annual Reviews of Astronomy and Astrophysics 41, 429–463.Google Scholar
  16. Lubin, L. M. and Sandage, A. (2001). The Tolman surface brightness test for the reality of the expansion. IV. A measurement of the Tolman signal and the luminosity evolution of early-type galaxies, Astronomical Journal 122, 1084–1103.Google Scholar
  17. Maloney, A. and Petrosian, V. (1999). The evolution and luminosity function of quasars from complete optical surveys, Astrophysical Journal 518, 32–43.Google Scholar
  18. Melchiorri, A. et al. (2003). Cosmological constraints from a combined analysis of the cluster mass function and microwave background anisotropies, Astrophysical Journal 586, L1–L3.Google Scholar
  19. Mischna, M. A. et al. (2000). Influence of carbon dioxide clouds on early Martian climate, Icarus 145, 546–554.PubMedGoogle Scholar
  20. Mojzsis, S. J. et al. (1996). Evidence for life on Earth before 3800 million years ago, Nature 384, 55–59.PubMedGoogle Scholar
  21. Mojzsis, S. J., Harrison, T. M., and Pidgeon, R. T. (2001). Oxygen-isotope evidence from ancient zircons for liquid water at the Earth’s surface 4300 Myr ago, Nature 409, 178–181.PubMedGoogle Scholar
  22. Neeser, M. et al. (1995). The linear-size evolution of classical double radio sources, Astrophysical Journal 451, 76–87.Google Scholar
  23. Newman, M. J. and Rood, R. T. (1977). Implications of solar evolution for the Earth’s early atmosphere, Science 198, 1035–1037.Google Scholar
  24. Nilsson, K. et al. (1993). On the redshift-apparent size diagram of double radio sources, Astrophysical Journal 413, 453–476.Google Scholar
  25. Nutman, A. P. et al. (1984). Stratigraphic and geochemical evidence for the depositional environment of the Early Archean Isua supracrustal belt, southern West Greenland, Precambrian Research 25, 365–396.Google Scholar
  26. Nutman, A. P. et al. (1996). The Itsaq Gneiss Complex of southern West Greenland; the world’s most extensive record of early crustal evolution (3900-3600 Ma), Precambrian Research 78, 1–39.Google Scholar
  27. Ohmoto, H. and Felder, R. P. (1987). Bacterial activity in the warmer, sulphate-bearing Archean oceans, Nature 328, 244–246.Google Scholar
  28. Ono, S. et al. (2003). New insights into Archean sulfur cycle from mass-independent sulfur isotope records from the Hamersley Basin, Australia, Earth and Planetary Science Letters 213, 15–30.Google Scholar
  29. Oort, M. J. A., Katgert, P., and Windhorst, R. A. (1987). A direct determination of linear size evolution of elliptical radio galaxies, Nature 328, 500–501.Google Scholar
  30. Petrosian, V. (1998). New & old tests of cosmological models and the evolution of galaxies, Astrophysical Journal 507, 1–15.Google Scholar
  31. Rosing, M. T. (1999). 13C-depleted carbon microparticles in > 3700-Ma sea-floor sedimentary rocks from West Greenland, Science 283, 674–676.PubMedGoogle Scholar
  32. Sackmann, I.-J. and Boothroyd, A. I. (2003). Our Sun. V. A bright young Sun consistent with helioseismology and warm temperatures on ancient Earth and Mars, Astrophysical Journal 583, 1024–1039.Google Scholar
  33. Sagan, C. and Mullen, G. (1972). Earth and Mars: Evolution of atmospheres and temperatures, Science 177, 52–56.Google Scholar
  34. Sagan, C. (1977). Reducing greenhouses and the temperature history of Earth and Mars, Nature 269, 224–226.Google Scholar
  35. Sagan, C. and Chyba, C. (1997). The early faint sun paradox: Organic shielding of ultraviolet-labile greenhouse gases, Science 276, 1217–1221.PubMedGoogle Scholar
  36. Sandage, A. (1988). Observational tests of world models, Annual Reviews of Astronomy and Astrophysics 26, 561–630.Google Scholar
  37. Schatz, H. et al. (2002). Thorium and uranium chronometers applied to CS 31082–001, Astrophysical Journal 579, 626–638.Google Scholar
  38. Schwarzschild, M. (1958). Structure and Evolution of the Stars, Dover, New York.Google Scholar
  39. Singal, A. K. (1993). Cosmic evolution and luminosity dependence of the physical sizes of powerful radio galaxies and quasars, Monthly Notices of the Royal Astronomical Society 263, 139–148.Google Scholar
  40. Sleep, N. H. et al. (1989). Annihilation of ecosystems by large asteroid impacts on the early Earth, Nature 342, 139–142.PubMedGoogle Scholar
  41. Sneden, C. et al. (2000). Neutron-capture element abundances in the globular cluster M15, Astrophysical Journal 536, L85-L88.PubMedGoogle Scholar
  42. Steigman, G. (1978). A crucial test of the Dirac cosmologies, Astrophysical Journal 221, 407–411.Google Scholar
  43. Tajika, E. (2003). Faint young Sun and the carbon cycle: Implication for the Proterozoic global glaciations, Earth and Planetary Science Letters 214, 443–453.Google Scholar
  44. Tegmark, M. et al. (2004). Cosmological parameters from SDSS and WMAP, Physical Review D 69, 103501.Google Scholar
  45. Teller, E. (1948). On the change of physical constants, Physical Review 73, 801–802.Google Scholar
  46. Tomaschitz, R. (2000). Cosmic time variation of the gravitational constant, Astrophysics and Space Science 271, 181–203.Google Scholar
  47. Tomaschitz, R. (1998a). Cosmic ether, International Journal of Theoretical Physics 37, 1121–1139.Google Scholar
  48. Tomaschitz, R. (1998b). Ether, luminosity and galactic source counts, Astrophysics and Space Science 259, 255–277.Google Scholar
  49. Tomaschitz, R. (1998c). Nonlinear non-relativistic gravity, Chaos, Solitons & Fractals 9, 1199–1209.Google Scholar
  50. Tomaschitz, R. (1993). Classical and quantum dispersion in Robertson-Walker cosmologies, Journal of Mathematical Physics 34, 1022–1042.Google Scholar
  51. Tomaschitz, R. (1994). Dispersion, topological scattering, and self-interference in multiply connected cosmologies, International Journal of Theoretical Physics 33, 353–377.Google Scholar
  52. Tomaschitz, R. (2004). Cosmic time dilation: The clock paradox revisited, Chaos, Solitons & Fractals 20, 713–717.Google Scholar
  53. Truran, J. W. et al. (2002). Probing the neutron-capture nucleosynthesis history of galactic matter, Publications of the Astronomical Society of the Pacific 114, 1293–1308.Google Scholar
  54. Wasserburg, G. J. (1987). Isotopic abundances: Inferences on solar system and planetary evolution, Earth and Planetary Science Letters 86, 129–173.Google Scholar
  55. Watanabe, Y., Martini, J. E. J., and Ohmoto, H. (2000). Geochemical evidence for terrestrial ecosystems 2.6 billion years ago, Nature 408, 574–578.PubMedGoogle Scholar
  56. Wilde, S. A. et al. (2001). Evidence from detrital zircons for the existence of continental crust and oceans on the Earth 4.4 Gyr ago, Nature 409, 175–178.PubMedGoogle Scholar
  57. Williams, J. G., Newhall, X. X., and Dickey, J. O. (1996). Relativity parameters determined from lunar laser ranging, Physical Review D 53, 6730–6739.Google Scholar
  58. Zel’dovich, Ya. B. (1964). The theory of the expanding universe as originated by A. A. Friedmann, Soviet Physics Uspekhi 6, 475–494.Google Scholar

Copyright information

© Springer Science + Business Media, Inc. 2005

Authors and Affiliations

  1. 1.Department of PhysicsHiroshima UniversityHigashi-HiroshimaJapan

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