My very amateur knowledge of the nature of matter is that particles like electrons are local disturbances in a universe-wide field, like the electron field and that a field is a set of values for some quantity, one for each position in space. What I'm wondering is: What is that quantity in the case of the electron field? Is it nothing more than electron-ness? Is the quantity a scalar? Is its value everywhere greater than zero or can it be negative or imaginary? On a 3-d plot with 'electron-ness' on the vertical axis and position in space on the horizontal axes, I imagine an electron as being an isolated round hill or spike. Or is it a wave shape. If it's a hill, in what sense is the electron a wave? If it's a wave shape, are the waves moving when the electron is standing still?