If an electron is attracted to a proton, surely atoms can’t exist because they would just collapse in on themselves?

Question: If an electron is attracted to a proton, surely atoms can't exist because they would just collapse in on themselves?
- Keywords:
  atom,
  electron,
  proton
Asked by anon-106860 to Adrian, Gaia, Jim, Scott, Vicky on 10 Mar 2016.
- Adrian Buzatu answered on 10 Mar 2016:
  
  The collapse would happen if the electron was at rest. But it moves. That movement prevents the collapse. It is similarly for the solar system. The Earth does not collapse in the Sun because it has a speed around the Sun. The speed and the force keep the orbit stable.
- Scott Lawrie answered on 11 Mar 2016:
  
  Another excellent question from Ki! An atom is in a way even more stable than a solar system. Planets can and do move closer and further from the star over time (their orbits change). The electrons in an atom CANNOT spiral in closer to the protons (even though you are right: they certainly would like to!) because a thing called Quantum Mechanics says that their orbits MUST stay a fixed distance from the nucleus. If you give an electron energy it can jump up to a new orbit… without crossing the gap in between! This is a ‘quantum leap’ that you may have heard about. Electrons can only leap back down again if there is room for them in the orbit below, but they can never leap down into the nucleus.

Question: If an electron is attracted to a proton, surely atoms can't exist because they would just collapse in on themselves?