Well, the problem is that when certain conditions are met, the model is supposed to create new things; so for example, there is a generic variable "capital" which is used to make commodities.
But capital changes with respect to technology. But technological change is discrete change, not...
I guess I am looking at this from a naive qualitative point of view; I was thinking about applying it to human societies specifically (so I would quantify things like "Energy use from natural resources" then at time T when certain conditions are met, this function would introduce a new dimension...
Functions that "introduce" new degrees of freedom?
OK, I realize this is a wacky question, so forgive me!
BUT I was thinking about it the other day, and suppose I had a 2 dimensional space \Bbb{R}^{2}. Is there any function that generally exists as: f: \Bbb{R}^{n} \rightarrow \Bbb{R}^{n+1}? So...
Gravitation is the one that I studied, and I highly recommend. I have read Wald's book, and I don't think that it is as pedogagical as is Gravitation (though I have a slight bias).
Or you could look into PAM Dirac's "General Relativity", it's probably the hardest book I've read on General...