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In our Universe, only baryons experience the strong nuclear force -- leptons don't. As such, baryons are pulled together into a tight configuration we call the nucleus, while leptons aren't.

In addition, electrons are far less massive than baryons. Thus, it is much more difficult for them to stay inside a small area (Heisenburg Uncertainty, if you must know). Thus, an electron just won't stay inside a small area for very long.

In our Universe, the Schroendinger Equation shows that the probability of a ground-state electron being measured as very close to the nucleus is quite small.

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