I am not a physicist, but I have tried to sort out where the arrow of time comes from or how it fits into our physical models.
Harvey Brown, a philosopher, physicist, and professor emeritus at Oxford says the laws of physics are entirely reversible with respect to time, and the only way to get a direction of time is to insert some other explanation beyond the equations of physics. The actual direction of time comes from prior conditions, not the physical equations themselves. So, separate from the laws, our universe started in a state of lower entropy. The laws acted upon those conditions which lead to an increase in entropy.
And (not Harvey's direct worlds at this point but others) at some point in the infinite future, because of our light cone, recurrence will happen because the horizon has a temperature due to increasing expansion and finite lightspeed (i.e. universe in box). Thus, in the far future the conditions will allow for the arrow backwards with the same laws of physics, if recurrence to some arbitrary accuracy is guaranteed in a finite system. (Which we have because of our horizon in an expanding universe).
So is this the current, state of the art explanation for the arrow of time? Not the experience of time or related stuff, just the direction. If not where did I go wrong? Also how does CP breaking fit in here? I suppose an experiment looks different forwards and backwards but nonetheless can be run either way with no privileged direction?