Gavra what is the infinite monkey theorem argument? Is that the idea of a monkey typing Shakespeare if he bangs on random keys for enough time? I think that would require much more than 15 billion years.
Again, we probably cannot come up with a proof, because we don’t know what 15 billion years can do. However, the idea of anything self-assembling even in 15 trillion years is quite far-fetched.
As of this writing, we don’t even know how a single protein can self-assemble into its correct 3-D shape, EVEN GIVEN ALL THE ATOMS BONDED TOGETHER IN THE RIGHT ORDER (which is already 99.9999999999999% of the difficulty).