Time’s Barbed Arrow: Irreversibility, Crypticity, and Stored Information
Time’s Barbed Arrow: Irreversibility, Crypticity, and Stored Information
We show why the amount of information communicated between the past and future---the excess entropy---is not in general the amount of information stored in the present---the statistical complexity. This is a puzzle, and a long-standing one, since the former describes observed behavior, while optimal prediction requires the latter. We present …