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The first thing to get out of the way is that the exponential functions governing the wave functions of electrons are just heuristics.
There is a probability of 1:4.17 x 10^42 that the electron will appear at at least some distance beyond the Van Der Waals radius of the atom to which it belongs. So this is a tiny probability that the electron volume probability density of an atom extends somewhere beyond the Van Der Waals radius, i.e. an electron can pop-up somewhere beyond the radius of the atom for a very brief amount of time before it interacts with a photon and changes position again.
I know what the term Van Der Waals radius means, ...
...and that it's beyond this point that it makes sense that an electron could be responsible for gravity ..