No, gravity has very little to do with keeping the electron bound. The strength of the gravitational force here is so small it is undetectable by any of our measurements. It is much, much, much smaller than the electric force in this case (which is the primary force for keeping electrons bound).<quoted text>
You are the math whiz. I asked you to do that.
Gravity has to have something to do with it. Don't you base your entire physics and cosmology on it? I thought gravity helped keep the electron bound. Perhaps you can enlighten us on how things "really" work.
Gravity is additive.
Yes, gravity helps keep *galaxies* bound, but that is because galaxies are very close to being electrically neutral and the E&M effects on their motion is small.
Once again, you ignore the details. For atoms, gravity is so small as to be irrelevant while for galaxies, E&M is mostly irrelevant (although more so than gravity is for atoms).