The Faint Young Sun Paradox Revisited — Oak Academic Publishing
Research ArticleOpen AccessGoogle Scholar indexed
The Faint Young Sun Paradox Revisited
Department of Applied Physics, National University of Science & Technology, Fundamental Theoretical Physics Explorers, Bulawayo, Republic of Zimbabwe
1 Department of Applied Physics, National University of Science & Technology, Fundamental Theoretical Physics Explorers, Bulawayo, Republic of Zimbabwe
We propose a plausible solution to the long-standing paleoclimatology puzzle known as the Faint Young Sun Paradox through a combined two-fold hypothesis that involves the conservation of the radiation balance between the Earth and the Sun, alongside the concept of an Expanding Earth Hypothesis (EHH). As solar luminosity increases, the Earth could maintain stable temperatures by adjusting the height of its atmosphere. This adjustment implies two possibilities depending on whether the solid Earth’s radius is changing: 1) If the radius increases, the Earth would accrete matter from its surroundings (specifically from the solar wind), leading to an increase in the mass of its atmosphere. 2) If the radius decreases, the Earth would naturally expel matter from its atmosphere, resulting in a decrease in its effective mass. We demonstrate that if, as current ITRF observations suggest, the Earth’s landmass is expanding globally at a modest rate of approximately 0.45 ± 0.05 mm∙yr − 1 , and if the Earth’s atmosphere has a vertical height of about one-third of the Earth’s radius (approximately 2860 km from the surface), it becomes plausible to explain the presence of liquid water on the Earth’s surface around 3.20 ± 0.70 Gyr ago during the Archaean eon , when the Sun was about 75% as luminous as it is today. Additionally, this framework can account for the current radial expansion rate of the Earth. Ultimately, we view the Earth system as an auto-self-regulating incubator , where this self-regulating mechanism arises from the Earth’s atmosphere automatically adjusting its height in response to changes.
KeywordsExpanding Earth HypothesisFaint Young Sun ParadoxSolar Gravitational Anomalies
Sagan, C. and Mullen, G. (1972) Earth and Mars: Evolution of Atmospheres and Surface Temperatures. Science , 177, 52-56. https://doi.org/10.1126/science.177.4043.52
Donn, W.L., Donn, B.D. and Valentine, W.G. (1965) On the Early History of the Earth. Geological Society of America Bulletin , 76, 287-306. https://doi.org/10.1130/0016-7606(1965)76[287:otehot]2.0.co;2
Bahcall, J.N., Pinsonneault, M.H. and Basu, S. (2001) Solar Models: Current Epoch and Time Dependences, Neutrinos, and Helioseismological Properties. The Astrophysical Journal , 555, 990-1012. https://doi.org/10.1086/321493
Gough, D.O. (1981) Solar Interior Structure and Luminosity Variations. Solar Physics , 74, 21-34. https://doi.org/10.1007/bf00151270
Peck, W.H., Valley, J.W., Wilde, S.A. and Graham, C.M. (2001) Oxygen Isotope Ratios and Rare Earth Elements in 3.3 to 4.4 Ga Zircons: Ion Microprobe Evidence for High δ 18 O Continental Crust and Oceans in the Early Archean. Geochimica et Cosmochimica Acta , 65, 4215-4229. https://doi.org/10.1016/s0016-7037(01)00711-6
Rosing, M.T., Rose, N.M., Bridgwater, D. and Thomsen, H.S. (1996) Earliest Part of Earth’s Stratigraphic Record: A Reappraisal of the > 3.7 Ga Isua (Greenland) Supracrustal Sequence. Geology , 24, 43-46. https://doi.org/10.1130/0091-7613(1996)024<0043:epoess>2.3.co;2
Airapetian, V.S., Glocer, A., Gronoff, G., Hébrard, E. and Danchi, W. (2016) Prebiotic Chemistry and Atmospheric Warming of Early Earth by an Active Young Sun. Nature Geoscience , 9, 452-455. https://doi.org/10.1038/ngeo2719
Marchi, S., Black, B.A., Elkins-Tanton, L.T. and Bottke, W.F. (2016) Massive Impact-Induced Release of Carbon and Sulfur Gases in the Early Earth’s Atmosphere. Earth and Planetary Science Letters , 449, 96-104. https://doi.org/10.1016/j.epsl.2016.05.032
Martens, P.C. (2016) The Faint Young Sun and Faint Young Stars Paradox. Proceedings of the International Astronomical Union , 12, 350-355. https://doi.org/10.1017/s1743921317004331
Iorio, L. (2013) A Closer Earth and the Faint Young Sun Paradox: Modification of the Laws of Gravitation or Sun/Earth Mass Losses? Galaxies , 1, 192-209. https://doi.org/10.3390/galaxies1030192
Iorio, L. (2015) Gravitational Anomalies in the Solar System? International Journal of Modern Physics D , 24, Article ID: 1530015. https://doi.org/10.1142/s0218271815300153
Wordsworth, R. and Pierrehumbert, R. (2013) Hydrogen-Nitrogen Greenhouse Warming in Earth’s Early Atmosphere. Science , 339, 64-67. https://doi.org/10.1126/science.1225759
Angulo-Brown, F., Rosales, M.A. and Barranco-Jiménez, M.A. (2012) The Faint Young Sun Paradox: A Simplified Thermodynamic Approach. Advances in Astronomy , 2012, Article ID: 478957. https://doi.org/10.1155/2012/478957
Rosing, M.T., Bird, D.K., Sleep, N.H. and Bjerrum, C.J. (2010) No Climate Paradox under the Faint Early Sun. Nature , 464, 744-747. https://doi.org/10.1038/nature08955
Minton, D.A. and Malhotra, R. (2007) Assessing the Massive Young Sun Hypothesis to Solve the Warm Young Earth Puzzle. The Astrophysical Journal , 660, 1700-1706. https://doi.org/10.1086/514331
Sheldon, N.D. (2006) Precambrian Paleosols and Atmospheric CO 2 Levels. Precambrian Research , 147, 148-155. https://doi.org/10.1016/j.precamres.2006.02.004
Hessler, A.M., Lowe, D.R., Jones, R.L. and Bird, D.K. (2004) A Lower Limit for Atmospheric Carbon Dioxide Levels 3.2 Billion Years Ago. Nature , 428, 736-738. https://doi.org/10.1038/nature02471
Kasting, J.F. (2004) Evolution of Earth’s Atmosphere and Climate. In: AGU Fall Meeting Abstracts , European Association of Geochemistry.
Sleep, N.H. and Zahnle, K. (2001) Carbon Dioxide Cycling and Implications for Climate on Ancient Earth. Journal of Geophysical Research : Planets , 106, 1373-1399. https://doi.org/10.1029/2000je001247
Schneider, S.H. (2001) Geosphere-Biosphere Interactions and Climate. Cambridge University Press.
Claussen, E., Cochran, V.A. and Davis, D.P. (2001) Climate Change: Science, Strategies, and Solutions. Pew Center on Global Climate Change.
Von Paris, P., Rauer, H., Lee Grenfell, J., Patzer, B., Hedelt, P., Stracke, B., et al . (2008) Warming the Early Earth—CO 2 Reconsidered. Planetary and Space Science , 56, 1244-1259. https://doi.org/10.1016/j.pss.2008.04.008
Villanueva, G.L., Mumma, M.J., Novak, R.E., Käufl, H.U., Hartogh, P., Encrenaz, T., et al . (2015) Strong Water Isotopic Anomalies in the Martian Atmosphere: Probing Current and Ancient Reservoirs. Science , 348, 218-221. https://doi.org/10.1126/science.aaa3630
Carr, M.H. and Head, J.W. (2003) Oceans on Mars: An Assessment of the Observational Evidence and Possible Fate. Journal of Geophysical Research : Planets , 108, Article No. 5042. https://doi.org/10.1029/2002je001963
Head, J.W., Hiesinger, H., Ivanov, M.A., Kreslavsky, M.A., Pratt, S. and Thomson, B.J. (1999) Possible Ancient Oceans on Mars: Evidence from Mars Orbiter Laser Altimeter Data. Science , 286, 2134-2137. https://doi.org/10.1126/science.286.5447.2134
Eyles, N. and Januszczak, N. (2004) “Zipper-Rift”: A Tectonic Model for Neoproterozoic Glaciations during the Breakup of Rodinia after 750 Ma. Earth - Science Reviews , 65, 1-73. https://doi.org/10.1016/s0012-8252(03)00080-1
Rye, R., Kuo, P.H. and Holland, H.D. (1995) Atmospheric Carbon Dioxide Concentrations before 2.2 Billion Years Ago. Nature , 378, 603-605. https://doi.org/10.1038/378603a0
Shaviv, N.J. (2003) Toward a Solution to the Early Faint Sun Paradox: A Lower Cosmic Ray Flux from a Stronger Solar Wind. Journal of Geophysical Research : Space Physics , 108, Article No. 1437. https://doi.org/10.1029/2003ja009997
Peale, S.J. (2003) Tidally Induced Volcanism. Celestial Mechanics and Dynamical Astronomy , 87, 129-155. https://doi.org/10.1023/a:1026187917994
Svensmark, H. (2012) Evidence of Nearby Supernovae Affecting Life on Earth. Monthly Notices of the Royal Astronomical Society , 423, 1234-1253. https://doi.org/10.1111/j.1365-2966.2012.20953.x
Graedel, T.E., Sackmann, I. and Boothroyd, A.I. (1991) Early Solar Mass Loss: A Potential Solution to the Weak Sun Paradox. Geophysical Research Letters , 18, 1881-1884. https://doi.org/10.1029/91gl02314
Wood, B.E., Muller, H., Zank, G.P. and Linsky, J.L. (2002) Measured Mass-Loss Rates of Solar-Like Stars as a Function of Age and Activity. The Astrophysical Journal , 574, 412-425. https://doi.org/10.1086/340797
Gaidos, E.J., Güdel, M. and Blake, G.A. (2000) The Faint Young Sun Paradox: An Observational Test of an Alternative Solar Model. Geophysical Research Letters , 27, 501-503. https://doi.org/10.1029/1999gl010740
Guzik, J.A. and Cox, A.N. (1995) Early Solar Mass Loss, Element Diffusion, and Solar Oscillation Frequencies. The Astrophysical Journal , 448, Article No. 905. https://doi.org/10.1086/176019
Pitjeva, E. (2012) Values of Some Astronomical Parameters (AU), Their Possible Variations from Modern Observations, and Interrelations between Them. In: Schuh, H., Böhm, T.N. and Capitaine, N., Eds., Jourées 2011 Systèmes de Reference Spatio - Temporels , Volume 44, Vienna University of Technology, AIP Publishing, 17-20.
Pitjeva, E.V. and Pitjev, N.P. (2012) Changes in the Sun’s Mass and Gravitational Constant Estimated Using Modern Observations of Planets and Spacecraft. Solar System Research , 46, 78-87. https://doi.org/10.1134/s0038094612010054
Standish, E.M. (2004) The Astronomical Unit Now. Proceedings of the International Astronomical Union , 2004, 163-179. https://doi.org/10.1017/s1743921305001365
Krasinsky, G.A. and Brumberg, V.A. (2004) Secular Increase of Astronomical Unit from Analysis of the Major Planet Motions, and Its Interpretation. Celestial Mechanics and Dynamical Astronomy , 90, 267-288. https://doi.org/10.1007/s10569-004-0633-z
Křížek, M. and Somer, L. (2015) Manifestations of Dark Energy in the Solar System. Gravitation and Cosmology , 21, 59-72. https://doi.org/10.1134/s0202289315010090
Vavryčuk, V. (2023) Gravitational Orbits in the Expanding Universe Revisited. Frontiers in Astronomy and Space Sciences , 10, Article ID: 1071743. https://doi.org/10.3389/fspas.2023.1071743
Feulner, G. (2012) The Faint Young Sun Problem. Reviews of Geophysics , 50, 1-30. https://doi.org/10.1029/2011rg000375
Shen, W.-B., Shen, Z., Sun, R. and Barkin, Y. (2015) Evidences of the Expanding Earth from Space-Geodetic Data over Solid Land and Sea Level Rise in Recent Two Decades. Geodesy and Geodynamics , 6, 248-252. https://doi.org/10.1016/j.geog.2015.05.006
Shen, W., Sun, R., Barkin, Y. and Shen, Z. (2015) Estimation of the Asymmetric Vertical Variation of the Southern and Northern Hemispheres of the Earth. Geodynam ics & Tectonophysics , 6, 45-61. https://doi.org/10.5800/gt-2015-6-1-0171
Shen, W.-B., Sun, R., Chen, W., et al . (2011) The Expanding Earth at Present: Evidence from Temporal Gravity Field and Space-Geodetic Data. Annals of Geophysics , 54, 4694-4700. https://doi.org/10.4401/ag-4951
Dearnley, R. (1966) Orogenic Fold-Belts and a Hypothesis of Earth Evolution. Physics and Chemistry of the Earth , 7, 1-114. https://doi.org/10.1016/0079-1946(66)90002-4
Egyed, L. (1961) Palæomagnetism and the Ancient Radii of the Earth. Nature , 190, 1097-1098. https://doi.org/10.1038/1901097a0
Heezen, B.C. (1962) The Deep-Sea Floor. In: International Geophysics , Elsevier, 235-288. https://doi.org/10.1016/b978-1-4832-2982-9.50014-0
Jordan, P. (1969) On the Possibility of Avoiding Ramsey’s Hypothesis in Formulating a Theory of Earth Expansion. In: Runcorn, S.K., Ed., The Application of Modern Physics to the Earth and Planetary Interiors , Wiley-Interscience, 55-62.
Beck, A.E. (1961) Energy Requirements of an Expanding Earth. Journal of Geophysical Research , 66, 1485-1490. https://doi.org/10.1029/jz066i005p01485
Cox, A. and Doell, R.R. (1961) Palæomagnetic Evidence Relevant to a Change in the Earth’s Radius. Nature , 189, 45-47. https://doi.org/10.1038/189045a0
Hixon, H.W. (1920) Is the Earth Expanding or Contracting? Earth Physics and Considerations of Geological Phenomena. Popular Astronomy , 28, 254-264.
Edwards, M.R. (2016) Indications from Space Geodesy, Gravimetry and Seismology for Slow Earth Expansion at Present—Comment on “the Earth Expansion Theory and Its Transition from Scientific Hypothesis to Pseudoscientific Belief” by Sudiro (2014). History of Geo - and Space Sciences , 7, 125-133. https://doi.org/10.5194/hgss-7-125-2016
Sudiro, P. (2014) The Earth Expansion Theory and Its Transition from Scientific Hypothesis to Pseudoscientific Belief. History of Geo - and Space Sciences , 5, 135-148. https://doi.org/10.5194/hgss-5-135-2014
Burša, M. and Šidlichovský, M. (1984) On the Expanding Earth Hypothesis. Studia Geophysica et Geodaetica , 28, 215-223. https://doi.org/10.1007/bf01589604
Xu, C. and Sun, W. (2014) Earthquake-origin Expansion of the Earth Inferred from a Spherical-Earth Elastic Dislocation Theory. Geophysical Journal International , 199, 1655-1661. https://doi.org/10.1093/gji/ggu364
Wu, X., Collilieux, X., Altamimi, Z., Vermeersen, B.L.A., Gross, R.S. and Fukumori, I. (2011) Accuracy of the International Terrestrial Reference Frame Origin and Earth Expansion. Geophysical Research Letters , 38, L13304. https://doi.org/10.1029/2011gl047450
Chen, Z. (2000) The Evolution Model of the Earth’s Limited Expanding. Chinese Science Bulletin , 45, 304-313. https://doi.org/10.1007/bf02909758
Gerasimenko, M.D. (1996) Very Likely That Geodesy Will Soon Resolve the Main Problem of the Earth Evolution: A Few New Facts. Proceedings of the 3 rd International Symposium Regularities of Structure and Evo lution of Geospheres , Vladivostok, September 1996, 3-6.
Gerasimenko, M.D. (1997) A Few Geodetic Arguments in the Favour of Hypothesis of Expanding Earth. Far Eastern Mathematical Reports , 3, 69-79.
Gerasimenko, M.D. (1993) Modeling of the Change of Earth Dimensions and Deformations from Space Tracking Data. In: Volume 52 of Proceedings of the CRCM ’93, Springer Science and Business Media, 215-217.
Scalera, G. (2006) Are Artificial Satellites Orbits Influenced by an Expanding Earth? Annals of Geophysics , 49, 819-824. https://doi.org/10.4401/ag-3118
Scalera, G. (2001) The Expanding Earth: A Sound Idea for the New Millennium. In: Scalera, G. and Jacob, K.-H., Eds., Why Expanding Earth ? A Book in Honour of Ott Hilgenberg , INGV Publisher, 181-232.
Scalera, G. (2009) Roberto Mantovani (1854-1933) and His Ideas on the Expanding Earth, as Revealed by His Correspondence and Manuscripts. Annals of Geophysics , 52, 615-649. https://doi.org/10.4401/ag-4622
Scalera, G. (1993) Non-Chaotic Emplacements of Trench-Arc Zones in the Pacific Hemisphere. Annals of Geophysics , 36, 47-53. https://doi.org/10.4401/ag-4245
Marlowe, I.T., Green, J.C., Neal, A.C., Brassell, S.C., Eglinton, G. and Course, P.A. (1984) Long Chain ( n -C 37 -C 39 ) Alkenones in the Prymnesiophyceae. Distribution of Alkenones and Other Lipids and Their Taxonomic Significance. British Phycological Journal , 19, 203-216. https://doi.org/10.1080/00071618400650221
Sigman, D.M. and Boyle, E.A. (2000) Glacial/Interglacial Variations in Atmospheric Carbon Dioxide. Nature , 407, 859-869. https://doi.org/10.1038/35038000
Stefan, J. (1879) Über die Beziehung zwischen der Wärmestrahlung und der Temperatur. Sitzungsberichte der mathematisch - naturwissenschaftlichen Classe der kaiserlichen Akademie der Wissenschaften ( Vienna Academy of Sciences ), 79, 391-428.
Boltzmann, L. (1884) Ableitung des Stefan’schen Gesetzes, betreffend die Abhängigkeit der Wärmestrahlung von der Temperatur aus der electromagnetischen Lichttheorie. Annalen der Physik , 258, 291-294. https://doi.org/10.1002/andp.18842580616
Jin, M. and Liang, S. (2006) An Improved Land Surface Emissivity Parameter for Land Surface Models Using Global Remote Sensing Observations. Journal of Climate , 19, 2867-2881. https://doi.org/10.1175/jcli3720.1
Méndez, A. and Rivera-Valentín, E.G. (2017) The Equilibrium Temperature of Planets in Elliptical Orbits. The Astrophysical Journal Letters , 837, L1. https://doi.org/10.3847/2041-8213/aa5f13
Kopp, G. and Lean, J.L. (2011) A New, Lower Value of Total Solar Irradiance: Evidence and Climate Significance. Geophysical Research Letters , 38, L01706. https://doi.org/10.1029/2010gl045777
Berberan-Santos, M.N., Bodunov, E.N. and Pogliani, L. (1997) On the Barometric Formula. American Journal of Physics , 65, 404-412. https://doi.org/10.1119/1.18555
Jacob, D.J. (1999) Introduction to Atmospheric Chemistry. Princeton University Press, Harvard University.
Trenberth, K.E. and Smith, L. (2005) The Mass of the Atmosphere: A Constraint on Global Analyses. Journal of Climate , 18, 864-875. https://doi.org/10.1175/jcli-3299.1
Verniani, F. (1966) The Total Mass of the Earth’s Atmosphere. Journal of Geophysical Research , 71, 385-391. https://doi.org/10.1029/jz071i002p00385
Mallama, A., Krobusek, B. and Pavlov, H. (2017) Comprehensive Wide-Band Magnitudes and Albedos for the Planets, with Applications to Exo-Planets and Planet Nine. Icarus , 282, 19-33. https://doi.org/10.1016/j.icarus.2016.09.023
Nyambuya, G.G. (2014) On the Expanding Earth and Shrinking Moon. International Journal of Astronomy and Astrophysics , 4, 227-243. https://doi.org/10.4236/ijaa.2014.41020
Nyambuya, G.G. (2014) Secular Increase in the Earth’s LOD Strongly Implies That the Earth Might Be Expanding Radially on a Global Scale. International Journal of Astronomy and Astrophysics , 4, 244-249. https://doi.org/10.4236/ijaa.2014.41021