Hey gbianchi - I haven't read through the entire thread but earlier in the thread it was pointed out that the model would eventually predict an infinite value for bitcoins. What about adding a secondary function into the original that represents price influences other than addresses so that the final equation is a ratio of the two added together. Basically I'm saying that for now the addresses thing you've figured out might be the largest controlling factor but as we approach using up the addresses that the influence of the secondary equation becomes the stronger of the two and eventually becomes the equation.
I am definitely interested in improving this work.
The real "core" of the theory is whether the price is
determined by a "network effect" (aka Metcalfe's law)
So for now I prefer not to add more terms to the function,
but keep it simple, and collect more data before editing.