Abstract
The Kac ring model is used to show how two time boundary conditions lead to apparently normal causal behavior in the initial stages of a system's development and to reversed causality near the end. In this model small subsystems for which a nonequilibrium state is specified at some intermediate time will relax away from that time regardless of the behavior of the rest of the system. This feature casts doubt on the possibility of learning of a future contraction of the universe through laboratory experiments on long lived nuclei.
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