There is no problem with FAI looking at both past and future you—intuition only breaks down when you speak of first-person anticipation. You don’t care what FAI anticipates to see for itself and whether it does. The dynamic of past->future you should be good with respect to anticipation, just as it should be good with respect to excitement.
Part of which question? And whatever you call “causally connected” past/future persons is a property of the stuff-in-general that FAI puts into place in the right way.
There is no problem with FAI looking at both past and future you—intuition only breaks down when you speak of first-person anticipation. You don’t care what FAI anticipates to see for itself and whether it does. The dynamic of past->future you should be good with respect to anticipation, just as it should be good with respect to excitement.
But part of the question is: must past/future me be causally connected to me?
Part of which question? And whatever you call “causally connected” past/future persons is a property of the stuff-in-general that FAI puts into place in the right way.