[1] https://en.wikipedia.org/wiki/Faint_young_Sun_paradox
[2] https://www.google.com/search?q=faint%20young%20sun%20geothe...
[1] https://en.wikipedia.org/wiki/Faint_young_Sun_paradox
[2] https://www.google.com/search?q=faint%20young%20sun%20geothe...
Even the energy released by the Earth cooling and solidifying over 100 million years still only comes down to like 1-2 Petawatts except immediately. And to try to make up another 10PW from bombardment heating would require About 1000 cubic kilometers of infalling asteroids per year (more than a Moon’s worth of mass over 100 million years), so Earth should’ve become pretty frigid soon after solidifying… UNLESS there was significantly more greenhouse effect back then (which is most likely!).
This is also why Europa’s −171 °C surface temperature is believed to give way to liquid oceans.
Mind you, the bigger question is where the entropic difference was. The earth, including the water would all still be warmer while cooling down, and it needs to drop that heat somewhere for life to do it's entropic increases
I’m also a layman so this could be outdated or potentially wrong