Combined with locality, the rule that things in spacetime can only affect things immediately adjacent to them, yeah, it does.
Along a worldline, you have a bunch of activity at time T0 that is locally affecting stuff, a bunch of stuff at time T1 that is locally affecting stuff, and so on. They’re all present moments. None is distinguished as the present moment, even from the perspective of a single worldline..
In that case, the “cursor” would be a boundary to one side of which the computation loses a lot of its ability to act on bits.
There could be any number of such approximate “boundaries” along a worldline.
Except there also might not be a Born rule in the simulation,
Assuming you mean collapse—the Born rule is a just a timeless relationship between probability and amplitude—there could be one in reality as well. That’s one of the reasons there isn’t a single model of time in physics. Collapse actually is a moving cursor.
Along a worldline, you have a bunch of activity at time T0 that is locally affecting stuff, a bunch of stuff at time T1 that is locally affecting stuff, and so on. They’re all present moments. None is distinguished as the present moment, even from the perspective of a single worldline..
There could be any number of such approximate “boundaries” along a worldline.
Assuming you mean collapse—the Born rule is a just a timeless relationship between probability and amplitude—there could be one in reality as well. That’s one of the reasons there isn’t a single model of time in physics. Collapse actually is a moving cursor.