Field theories like QED have the concept of a field, which is something that permeates all of space, which makes it non-local. Electrons all have the same elec

Field theories like QED have the concept of a field, which is something that permeates all of space, which makes it non-local. Electrons all have the same electric charge because they are all different excitations of the same electric field. Does that in some way mean they are all the same particle? They are all connected by the same electric field and have the same charge.