"Physicists usually explain the arrow of time using the concept of increasing entropy (...) The universe evolves from a highly-ordered, low-entropy beginning, to a progressively more disordered state, defining time's arrow."
I'm not sure, but for me it looks like circular reasoning.
First there is assumption, that there are previous and next states (this implies directionality), and next states are more disordered than previous states, thus entropy is increasing.
Then there is explanation, that time (directionality) exists, because entropy is increasing.
So directionality exist, because there is directionality?
Please correct me, if I'm wrong.