How to envision quantum fields in physics? In some of the pop-physics books I've read, people like Sean Carroll, Carlo Rovelli, Art Hobson and the like, they tend to say that a field is kind of like a space — Manuel
More or less. Take just one particle (spin 1/2) in empty space. This particle, if prepared firstly by an interaction, also called a measurement, is essential for spinor fields (quarks and leptons and maybe even more deep) to localise. This particle moves on ALL possible trajectories at once. If it had not interacted all probability amplitudes for these paths (and these are litterally ALL paths) are equal. All these particle paths and interactions later constitute space. Space is that what allows all these particle trajectories. But these paths don't
constitute space.