I guess if you consider knowing what color the pixels were in the last frame "state". That's not a definition anyone would use though. Spinning around and have the world continuously regenerate or looking at the sky and back down regenerating randomly is the opposite of state. It's complete incoherence.
Just a thought - complete incoherence is a noise function, no? Successive frames here are far more correlated than that, which is pretty remarkable.
My definition of state is something like reified bits of information, for which previous frames and such certainly count (knowing the current frame tells you a lot of information about the next frame vs not knowing the current frame).
