I will have to admit, I haven’t read Hawkin’s book, despite having taken a look at Numenta’s Nupic implementation. I gather I wasn’t impressed with the continual lack of progress in their approach.
Regarding fundamental physics formulations. I’m not an expert in that area, however I do tend to like the explanation of gravity being a macro-phenomena that emerges out of quantum entanglement. I will take a look at your reference since I’m always seeking new mathematical formulations that employ discrete math rather than continuous math.