I'm sorry, maybe I'm just dense, but how can the output of your generator be deterministic if you add entropy?

Further, if it's deterministic, how is this different from just running your password through a hashing algorithm and then using the hash as your password? The only extra information an attacker has to figure out is what hashing algorithm you used and he can generate all of your passwords from your memorized one.

Right? That or I don't understand what you are describing.