I think this may refer to the second law of thermodynamics - entropy cannot decrease over time in an isolated system. One could argue the entire universe is one.
I interpret GP's reference to thermodynamics/entropy as generating the "arrow (asymmetry) of time,"[0]
Which exists (at least for us matter-based beings) as remembering the "past," but not the "future," and local fluctuations in entropy don't affect that at all.