Distinguishability of electrons separated by large distances

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What is the problem in distinguishing two electrons separated by large distances, unless they are entangled. Does distinguishability mean that all electrons in the universe is somehow entangled?
 
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I can't distinguish the letters in your crazy font.

Why do people do that? I really don't get it.
 
Sorry Ben for the bad font i used. Read it again below-

What is the problem in distinguishing two electrons separated by large distances, unless they are entangled. Does distinguishability mean that all electrons in the universe is somehow entangled?
 
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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