It'd be interesting to know how they deal with the phase requirements--normally you have boundary conditions which set up these sorts of standing waves but it sounds like these "events" would not have that and thus would have to conspire their phases so that you wouldn't get something more like:
---* *---
Probably it's something like, "each event must exist on at least two different fields; if you look at the other (~) field too then this event looks like
---*~~~~~~~~*---
so that, for example, this electron clearly collided with a high-energy photon to become a muon for a time and then relaxed back to being an electron, emitting the photon back."