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Faint young sun paradox
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The faint young Sun paradox or problem describes the apparent contradiction between observations of liquid water early in the Earth's history and the astrophysical expectation that the Sun's output would be only 70% as intense during that epoch as it is during the modern epoch. The issue was raised by astronomers Carl Sagan and George Mullen in 1972.
According to the Standard Solar Model, stars similar to the Sun should gradually brighten over their life time.

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Encyclopedia
The faint young Sun paradox or problem describes the apparent contradiction between observations of liquid water early in the Earth's history and the astrophysical expectation that the Sun's output would be only 70% as intense during that epoch as it is during the modern epoch. The issue was raised by astronomers Carl Sagan and George Mullen in 1972.
According to the Standard Solar Model, stars similar to the Sun should gradually brighten over their life time. However, with the predicted brightness 4 billion (109) years ago and with greenhouse gas concentrations the same as are current for the modern Earth, any liquid water exposed to the surface would freeze. The geological record however shows a continually relatively warm surface during the complete early Temperature record of the earth with the exception of a cold phase about 2.4 billion years ago. As early as 3.8 Billion years ago, water related sediments have been found . Hints on early life forms are as early as 3.5 Billion years, the basic carbon isotopy is very much in line with what is found today . A regular change between ice ages and warm periods is only to be found since one billion years.
Explanations of the paradox do either take into account greenhouse effects or astrophysical deliberations or a combination of the two.
Greenhouse Hypothesis First atmospheric gas might have been different in early times and containing more greenhouse gases than today. Since methane, a very active green house gas, breaks down in the presence of oxygen to carbon dioxide, in the absence of (photosyntetic produced) oxygen the methane and carbon dioxide concentration could have been much larger than currently observed .
After the accretion of continents after about 1 billion years, Walter and others assume an inorganic version of the carbon cycle to provide a negative feedback. Carbondioxide dissolves in liquid water, carbonate are produced together with metal ions derived from silicate weathering. During cold ages this part of the inorganic carbon cycle would shut down. Carbonatic emissions from volcanoes would restart a warming cycle due to the greenhouse effect. . .
It has been speculated that there may have been a number of periods when the Earth's oceans froze over completely (Snowball Earth hypothesis). The most recent period may have been ~630 million years ago. Afterwards the Cambrian explosion of new multicellular life forms started.
Astronomical and Geochemical Evidence and Hypothesis
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