Albert Einstein was not perfectly happy with the non-causal nature of the new quantum physics, and he had an ongoing debate with
Niels Bohr about this matter. Both were Nobel Laureates in Physics, and considered the brightest minds of their time (
and history!).
To keep it short: Einstein favored 'real' particles like photons – Bohr was only interested in the wave function, or to be precise, the
equations describing wave function.
In 1935, Albert Einstein published a paper, known as the EPR paradox, with the title;
"Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?". So far Niels Bohr, almost in triumph, had dismantled every argument from Einstein swift and easy. But this time it was different, Bohr’s reply was published five months later (
with the exact same title as the original), and the paper implied he had misinterpreted the profound analysis of Einstein.
According to Einstein the EPR experiment yields a dichotomy, either:
1) A quantum system has a non-local effect on the physical reality.
2) Quantum mechanics is incomplete in the sense that some extra variable is needed to account for it.
In 1964, John Bell showed (theoretically) that quantum mechanics predicts much stronger statistical correlations between the measurement results, than the theory of hidden variable is ever capable of.
Bell's theorem proves that every quantum theory
must violate either
locality or
counterfactual definiteness (
i.e. Heisenberg uncertainty principle; one cannot simultaneously know the position and momentum of a particle).
To make things even more 'contradictory' –
we know that quantum mechanics and the predictions of quantum field theory (QFT) are the
most precise in all of physics!
John Bell knew that there where theoretical escape routes from his theorem, e.g. Superdeterminism in which we (
and the particles) lose our free will by the predetermined laws of physics, and become 18th century Laplace's demons.
And as discussed here, there are other interpretations of QM, like Many-worlds (MWI) where we split the whole universe for every particle in EPR, etc.