Relativistic Model for Statevector Reduction

In the last sentence of his last paper on the foundations of quantum theory, John Bell1 raised “The big question” as to whether the “precise picture” of reality, inherent in theories which give a dynamical description of statevector reduction, “can be redeveloped in a Lorentz invariant way.” I will begin by summarizing this “precise picture” of reality, with special focus on aspects of the relativistic structure of the theory. Then, within this structure, I will review a relativistic quantum field theory model.2 It has good statevector reduction behavior which, unfortunately, is accompanied by an infinite rate of energy production from the vacuum. I will then introduce a new model (only a few months old) in which this latter difficulty may be cured. Of course new problems arise, but they present some interesting and even intriguing features.