 where \(t_1 \lt t_2 \lt t_3\). However, transitions described by  (2)  do not seem to occur; or phrased more carefully, not both  (1)  and  (2)  occur. However we choose to use the terms “earlier” and “later”, clearly entropy doesn’t increase in both temporal directions. For ease of exposition let us dub  (2)  the culprit.