I have been trying to get my head around this topic for a while. As I go through the description of scalar fields, the inflation and the potential inflaton, (in description as in ned.ipac.caltech.edu), I constantly miss a concept. There must be a fundamental difference between the type of (scalar) potential electric field has and the scalar field of Higgs, the Dilaton and Massive fields. In electric field, the potential is the scalar quantity ∅(x,t) and its gradient is the field. When we describe the energy state, we describe the energy of an interacting particle, such as an electron- in principle, two conceptual entities, field and the particle. So when we state that in the inflation related scalar field, the inflaton is the ∅ and V(∅) is the potential energy of the scalar field, ∅ seems to have the particle analogy and V has the potentiai analogy (but it is written as V(∅) ? For electric field this is similar to writing the potential as ∅(electron)). 1. Is this related to some kind of self organizing system description? In other words, ∅ is the system (universe) itself and the energy density of the system is all its potentialities? So when we say (for example) ∅ rolls down or in the false minimum, what is rolling or is in a minimum? Confused!