Physics is mostly time reversible. But certain nuclear interactions violate this T symmetry.
With T-symmetry a system at maximum entropy has no "arrow of time". Thus a video of the system looks the same when played forward or played in reverse. Which in turn means a dead system with no macroscopic change.
But without T symmetry there is always an inherent "distinction" between future and past. This would seem to force some sort of macroscopic evolution even when starting from a maximum entropy state.
An extreme version of T-symmetry violation is Conway's game of Life, within which entropy can easily be destroyed.
My logic is wrong of course. T-symmetry violations won't save us from hear-death. What is the flaw in my logic?