Do reactions whose final outcome is not even theoretically predictable by any means possible exist in Nature or does the outcome of all possible chemical reactions can (at least in theory) be predicted if we could get enough information about the conditions the reaction system is in?
My question isn't about a well-defined reaction system whose behavior is unknown to a certain degree but about the possibility in principle to discover a chemical reaction or a system of chemical reactions able to produce compounds which can't be predicted even in theory, even if we manage to acquire all the possible information about the system that can be acquired by all experimental means possible? What I want to ask is whether we can, at least in theory, know all possible products a reaction system can generate or do we "hit a wall" limiting our ability to predict certain chemical reactions over a certain limit?
I know very well the difference between a stochastic and a deterministic process, but what I'm asking isn't about stochasticity. It is about the possible predictability of all chemical reactions that could exist. As far as I know if we use the concept of stochasticity we may be able to derive possible, albeit only probable predictions about the state the system can be in. Therefore we can at least compute some probabilities different compounds can have to emerge under certain conditions. What I'm asking about is the validity of the concept of ergodicity, therefore I want to know is it possible to know the end state and all the reaction products of all possible chemical reactions, or there are some which could generate products that are impossible to predict in both theory and reality? Do reactions generating such unpredictable behavior exist in the real world or are they possible only in theory?