Right, but for my actions to have an effect on them, they have to be in my future light cone at the time of action. It sounds like you’re interested in events in my future light cone but will not be in any of the past light cones centered at my future intervals- like, for example, things that I can set in motion now which will not come to fruition until after I’m dead, or the person I care about pondering whether or not to jump into a black hole. Those things are worth caring about so long as they’re in my future light cone, and it’s meaningful to have beliefs about them to the degree that they could be in my past light cone in the future.
Ok, my scenario involves your actions having an effect on them before your two light cones become disjoint.
Right, but for my actions to have an effect on them, they have to be in my future light cone at the time of action. It sounds like you’re interested in events in my future light cone but will not be in any of the past light cones centered at my future intervals- like, for example, things that I can set in motion now which will not come to fruition until after I’m dead, or the person I care about pondering whether or not to jump into a black hole. Those things are worth caring about so long as they’re in my future light cone, and it’s meaningful to have beliefs about them to the degree that they could be in my past light cone in the future.