Journal of Statistical Physics, Vol. 115, Nos. 5/6, June 2004. p. 1327-1339.
We present spontaneous collapse models of field theories on a 1 + 1 null lattice, in which the causal structure of the lattice plays a central role. Issues such as "locality," "nonlocality," and superluminal signaling are addressed in the context of the models which have the virtue of extreme simplicity. The formalism of the models is related to that of the consistent histories approach to quantum mechanics.