This is a question that has been floating around for decades. Spoiler alert: we don't know. But we still can make mind-blowing conclusions.
I add this : if the answer is no, because of Church-Turing thesis we will never have a scientific proof of this impossibility.
I discussed this here :
https://open.substack.com/pub/spearoflugh/p/mathematical-necessity-nature-and?utm_source=direct&r=buw3d&utm_campaign=post&utm_medium=web
I have also wrote something about why we find quantum mechanics so baffling, basically because measurement is the dual of will (and we don't.understand free will):
https://open.substack.com/pub/spearoflugh/p/free-will-and-observation?utm_source=direct&r=buw3d&utm_campaign=post&utm_medium=web
I add this : if the answer is no, because of Church-Turing thesis we will never have a scientific proof of this impossibility.
I discussed this here :
https://open.substack.com/pub/spearoflugh/p/mathematical-necessity-nature-and?utm_source=direct&r=buw3d&utm_campaign=post&utm_medium=web
I have also wrote something about why we find quantum mechanics so baffling, basically because measurement is the dual of will (and we don't.understand free will):
https://open.substack.com/pub/spearoflugh/p/free-will-and-observation?utm_source=direct&r=buw3d&utm_campaign=post&utm_medium=web