I don’t buy that argument about sleep, but what about anesthesia? I see no reason why successor observer-moments have to be contiguous in either time or space. They likely will be due to the laws of physics, but we’re talking about improbable outcomes here. Your unconscious body is not your successor. It’s an inanimate object that has a high probability of generating a successor observer-moment at a later time. (That is, it might wake up as you.)
I don’t buy that argument about sleep, but what about anesthesia? I see no reason why successor observer-moments have to be contiguous in either time or space. They likely will be due to the laws of physics, but we’re talking about improbable outcomes here. Your unconscious body is not your successor. It’s an inanimate object that has a high probability of generating a successor observer-moment at a later time. (That is, it might wake up as you.)