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RE: Wave-particle duality aka the central pillar of quantum mechanics
I dont know if I can explain it because I dont properly understand it myself.
But we do see that objects like electrons arent bound to one fixed point, they kind of hop around and at any time have a range of possible locations they will appear at next, and I think the percentage chances of each new location can be calculated. So in the case of two slits, the electron can pass through both but might spend a higher proportion of its time in the vecinity of one slit versus the other.
I may have that utterly wrong, but its what I surmised from different sources.
This actually does not hold in QM. There is no way to determine the exact position of the electron. It could be there, or here, with some probabilities. Even if there is a region of space with a larger probability, at the end of the day, you cannot know where is the guy.
My confusion came from the fact that you used the word potential instead of probability ;)