There is no problem with FAI looking at both past and future you—intuition only breaks down when you speak of first-person anticipation.
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.
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.