I really wish I could find a sort of statistical breakdown of the odds of this all working purely by chance (I'm definitely a fan of evolution and i'm not necessarily invoking woo or God here, just thinking that there are mechanisms at play we don't understand, and a head start would explain a lot for me)
This is how my hopelessly naive mind thinks about the problem:
Let's round up to say there is 10^15kg of biomass on the planet[1], and there are 10^12 cells per kg[2]. Let's assume that those cells have reproduced every hour for the last 4 billion years (or 35x10^12 hours). That's ~35x10^39 opportunities to pass evolved genetic material to the next generation of cell.
One of the organisms with the simplest known genome is mycoplasma genitalium[3], with ~588 genes expressed over 580,070 base pairs. Each base pair has four possible configurations (A,C,G or T).
I don't know much of anything, and I definitely don't know the rules around how the base pairs come together. I'm going to naively assume that these base pairs can come together any way they like, and that mutations in DNA express themselves as changes in these sequences. This leaves the DNA of mycoplasma gentalium with 4^580070 or 8.7*10^349236 possible configurations of their DNA.
Obviously only a small portion of those are viable. But how do you get from nothing to something of the complexity required to reproduce, and then how do you get from something of that level of simplicity to the genetic diversity that we have on the planet. How many generations from the first living organism are there to current people. Let's say it's a trillion generations. How does random mutation bring you from say a half a million base pairs at the beginning to 3 billion finely tuned base pairs[3] at the end? It just doesn't seem like enough time to me.
1. https://en.wikipedia.org/wiki/Biomass_(ecology)
2. https://en.wikipedia.org/wiki/Cell_(biology)
3. https://www.saylor.org/content/BIO_Kimball/users.rcn.com/jki...