Drescher actually deals with this — from an initial configuration, positive or negative movement both work as time arrows; time can be measured as distance in accumulated correlation from that initial state in any particular direction. At zero, moving along the positive or negative direction is equally "forward in time"; but at +42, it isn't.
Oh, okay. Then Drescher has it right:
Viewed from a very local level (encompassing just a single collision), there's no arrow of time, because entropy doesn't change significantly.
Taking a middle-level view (encompassing more balls for a greater span of time), there's a unique time arrow as you pass from the low-entropy initial configuration to a higher one.
But taking a global view, encompassing all balls for all time, you lose the unique arrow of time again, because you are just as likely to leave low-entropy states as time runs "backwards" as you are when time runs "forwards".
Related to: lesswrong.com/lw/qp/timeless_physics/
Why do I find myself at this point in
time, configuration space, rather than another point? In other words, why do I have certain expectations rather than others?I don't expect the U.S. presidential elections to have happened but to happen next, where "to happen" and "to have happened" internally marks the sequential order of steps indexed by consecutive timestamps. But why do I find myself to have that particular expectation rather than any other, what is it that does privilege this point?
My question is why I find myself to remember that the particle went left and then right rather than left but not yet right?
Yes, but why does my version experience this point of my branch and not any other point of my branch?
I understand that if this universe was a giant simulation and that if it was to halt and then resume, after some indexical measure of causal steps used by those outside of it, then I wouldn't notice it. Therefore if you remove the notion of an outside world there ceases to be any measure of how many causal steps it took until I continued my relational measure of progression.
But that's not my question. Assume for a moment that my consciousness experience is not a causal continuum but a discrete sequence of causal steps from 1, 2, 3, ... to N where N marks this point. Why do I find myself at N rather than 10 or N+1?