You seem to describe humanity and AI's ability to predict and manipulate humanity a bit like how a physicist describes the ability of an apparatus to affect a given dynamical system. So let me put it like this: (1) You cannot model the effect f_predict(X) of your probe X with arbitrarily low |f_actual(X) - f_predict(X)|, and (2) you cannot guarantee the impact |f_actual(X)| is arbitrarily large (or that f_actual(X) saturates its codomain) when X in our case is restricted to inputs of the form, "tokens chosen in an LLM conversation."