This is formalized in the Kochen–Specker theorem [1]. Quantum mechanics is shown to incompatible with the following three assumptions being true simultaneously:

This is formalized in the Kochen–Specker theorem [1]. Quantum mechanics is shown to incompatible with the following three assumptions being true simultaneously: (1) locality, (2) non-contextually (independent of the context of the experiments (3) realism. AFAIK, at least one assumption needs to go. There is a nice paper by N. David Mermin illustrating the incompatibility [2]. [1] https://en.m.wikipedia.org/wiki/Kochen%E2%80%93Specker_theorem https://en.m.wikipedia.org/wiki/Kochen%E2%80%93Specker_theor... [2] https://www.physics.wisc.edu/courses/home/spring2020/407/experiments/bell/Bell%27s%20Theorem%20Background%20Papers/READ_THIS_FIRST_Mermin_reality_Phys.Today.38.38.pdf https://www.physics.wisc.edu/courses/home/spring2020/407/exp...