Registering that I will attempt this. Not sure if I will be able to produce something publishable in a reasonable amount of time, but I expect to learn from the attempt.
Also, I think some probabilities were left out of some sums there? Was that intentional, or a typo?
I’m not sure about that; it seems like there’s lots of instances where just a few bits of knowledge gets you lots of optimization power. Knowing Maxwell’s equations lets you do electronics, and knowing which catalyst to use for the Haber process lets you make lots of food and bombs. If I encoded the instructions for making a nanofactory, that would probably be few bits compared to the amount of optimization you could do with that knowledge.