Dimension of the problem
From the described situation, it seems that the electron goes into 3 shapes:
1. sphere around the nucleus of the atom.
2. small spherical object as a single electron
3. Two sperical electrons connected with each other
From these shapes it seems that the dimension of the electron phenomenon is 5 dimensional.
1 extra dimension to create the shell from a small particle, and 1 extra dimension to connect both electrons with each other over long distances.
