Proof of Entangled Particles being Indetermined

pinkumbra
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I'm sure this has been asked a million times, but how do we know that entangled particles don't "choose" their states when they're separated? If possible, choose the most basic example. Thanks!
 
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They require very careful experiments to show this - however, the difference is in the statistics and the proof is Bell's inequality. Any experiment that verifies this has demonstrated the effect.

Also see:
https://www.physicsforums.com/showthread.php?t=613582
... and the links in that thread for specific examples.
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
If we release an electron around a positively charged sphere, the initial state of electron is a linear combination of Hydrogen-like states. According to quantum mechanics, evolution of time would not change this initial state because the potential is time independent. However, classically we expect the electron to collide with the sphere. So, it seems that the quantum and classics predict different behaviours!

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