That's not true. The only thing we know is that the above appears to be true, but since we do not actually know the mechanism behind quantum mechanics we will be in this limbo until (if ever) we find the actual rules.
That's not true. The only thing we know is that the above appears to be true, but since we do not actually know the mechanism behind quantum mechanics we will be in this limbo until (if ever) we find the actual rules.
I do have a small gripe with the above comment, in that Bell's theorem only rules out local hidden variables. Some take the view that Bohmian mechanics is an formulation of quantum theory which employs hidden variables, just explicitly non-local ones.
Superdeterminism also allows local hidden variable theory without violating Bell's theorem:
> https://en.wikipedia.org/wiki/Superdeterminism
A 2013 interview with the Nobel Laureate Gerard 't Hooft on this topic:
> https://spookyactionbook.com/2013/10/07/does-some-deeper-lev...
A paper by Sabine Hossenfelder and Tim Palmer:
Sabine Hossenfelder and Tim Palmer; Rethinking Superdeterminism
> https://www.frontiersin.org/articles/10.3389/fphy.2020.00139...
In 2016, 't Hooft published a textbook on some specific points of superdeterminism:
Gerard 't Hooft; The Cellular Automaton Interpretation of Quantum Mechanics
Sabine Hossenfelder and Tim Palmer; Rethinking Superdeterminism
> https://www.frontiersin.org/articles/10.3389/fphy.2020.00139...
I mean, this is the crux of it. You'd have to have some convincing way of explaining why states "give rise to the predictions of quantum mechanics" for all possible measurement choices yet to be made by anyone. It still feels conspiratorial to me, having read that whole section! If someone were to show me a simple mathematical expression as defined above, I would be open to it. As far as I can tell, all this article is saying is "maybe it's possible".
Finding such a simple mathematical expression is exactly what research into this direction is for. But obtaining such is rather the end result that one hopes for.