There is an IGUS. This IGUS has memory banks. At time t, this one IGUS has memories of some past observations stored in the memory banks. Then, it updates the memory banks at time t+1. Can this be considered as a temporal fine graining of the set of consistent histories? Would you call this a temporal collapse of the wave function? $\Psi \rightarrow C_i \Psi \rightarrow C'_{i'}\Psi$ where $\Psi$ is the universal wave function, $C_i$ is the definite chosen chain at t, and $C'_{i'}$ at t+1? With suitable normalizations, of course.
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