With exceedingly tiny probability they could be anywhere…unless we’re talking about particles with…
Benji Lampel

Thank you for pointing out that nuance! You’re absolutely right though, the probability function of waves means that the particle’s position isn’t really ‘anywhere’ in the sense that is random, but rather it could be ‘anywhere’ within the constraints of the probability function.

Also yup! If we were to go more detailed in the principles of quantum, Feynman’s sum over histories model is certainly crucial to the discussion.

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