Do those fields extend into infinity or is there a boundary that the electrons don't cross? >If you took an atomic nucleus and bound only one electron to it, y

Do those fields extend into infinity or is there a boundary that the electrons don't cross? >If you took an atomic nucleus and bound only one electron to it, you would see the following 10 probability clouds for each electron, where these 10 diagrams correspond to the electron occupying each of the 1s, 2s, 2p, 3s, 3p, 3d, 4s, 4p, 4d and 4f orbitals, respectively. The electron is never located in one specific place at one particular time, but rather exists in a cloud-like or fog-like state, spread throughout a volume of space representing the entire atom. If there is no boundary, then the universe itself would be full by that field definition because every electron would be at any point by a very small probability.