Just submitted another paper: https://arxiv.org/pdf/2610.22896
This was a fun one. Astronomers want to know how much life there is in the universe, but we don’t really know. It could be rare or common, or maybe Earth is the only case. But it is possible to look at things about the Earth’s situation and try to use that to tell us something about life more broadly. Most people think you can get a little bit of information that way, but not a lot (that is indeed the case).
One problem is that nobody really knows how to analyse the data. It’s a bit weird because we can only think about this because we exist, so we are possibly in an unusual place as far as the universe is concerned – one where it is possible to be living and thinking about this. There’s a term that gets thrown around called the “anthropic principle” to do with this idea.
Anyway, an astronomer, David Kipping, says that because we live around a G type star, but there are more M type stars (red ones) in the universe, that provides some evidence that it is harder for life to exist around M type stars. I wanted to work that out formally using ideas from a paper by Radford Neal (statisticians will know him) that I read during my PhD. Originally I thought I would love Neal’s method and use it to disprove Kipping’s argument.
I tried applying Neal’s idea but it kept giving weird answers that seemed obviously wrong to me. Over months I convinced myself that Neal’s method was actually incorrect. I think it got a few things right but was missing a factor that had to be there to give correct answers. We modified it and came up with a method that I now believe is correct and gives sensible answers on a variety of problems. And by the way it confirms Kipping’s argument. There is some evidence, from the fact the sun is type G, that it is easier for life to exist around type G. There might still be some life around M stars, but it wouldn’t be the overwhelming majority that you might expect just by counting the stars.
Interestingly, people who actually study M stars have already worked out that physically they might be more hostile to life. So the navel-gazing evidence of our own circumstances points in the same direction as the stellar astrophysics.