I've watched a few PBS Space Time videos on YouTube, but from them I can't get a picture of quantum fields that makes sense. My QFT understanding is of course very limited.
Let's take the electron field as an example. On one hand it's a quantum field, so it's values are multiples of some base unit. So if say the value in a given point is 0 there are no electrons there, if the value is 1 there is 1 electron, if the value is 2 - 2 eletrons, more than 2 elecrons are not possible because of Pauli exclusion principle.
On the other hand an electron exists in a state of superposition, so in one point there may be 80% probability to find an electron there, further away point 70%, etc. What are the values of the electron field in these points? Is it like 99 units - very likely there, 50 units - somewhat likely, 1 - barely possible? And in what units is the field measured.
Also beacause of Heisenberg uncertainty principle even in vacuum free of eletrons, the electron field has (most of the time?) value different than 0. What is this value?
