Why do we remember the past and not the future?

A memory is a record carried into an observer's present activity by earlier interactions. We remember the past because those records have causal routes into the current observer; the later events we call our future do not supply the same ordinary routes. OPH models such dependence through authenticated writes, reads and retained records. Its complete-history interpretation can include all those events without giving an observer access to every one of them. The whole history and the information available at one point inside it are different objects. Irreversible local record production can contribute to this asymmetry, but explaining the cosmological arrow also requires a physical state and its history. A fixed-point description is no prediction channel from tomorrow.

Also in Chapter 10: Why Doesn't It Matter Who Goes First?.