electron in the nucleus In the event that the electron is in nucleus of the atom (via tunneling effects and other things I don't understand), How does QED deal with this situation?
 A: 
In the event that the electron is in nucleus of the atom (via tunneling effects and other things I don't understand), How does QED deal with this situation?

Solving the equations for nuclear physics with QED would be like digging a tunnel with a surgical knife. There exist nuclear models that work and describe the data, ultimately consistent with QED rules .
Look at the orbitals, the locus of the state function for the electron whose square gives the probability of finding it there.

For S state solutions there exists a quantum mechanical probability for the electron to be there. If there will be a decay or not will depend on the energetics of the problem. 
There exist electron capture decays.
A: the probability of an s-orbital electron to be at the center of the atom i.e in the nucleus is in fact non-zero. it is zero for p,d,f and higher orbitals. and the fact the probability is non-zero is why we have forbidden transitions in an atom and why we have lasers.
i don't know what you mean by the electron tunneling to the nucleus of the atom though.
A: The nucleus is a wave. As is the electron. so its just one wave going through the other. In fact this is the case with neutrinos. if you think of neutrinos as one dimensional they would pass strait through one dimensional protons.    
