@Soupie - in terms of continuity of consciousness, Buddhism looks at the time scale for individual thoughts, or maybe more accurately awareness, in other words, we can experience a moment of only finite duration - I need to look the term up, but that implies consciousness is discrete, so where is it and where are we not just in dreamless sleep but in the gap between experience? This unit of time may be involved in the teleportation problem. It seems unavoidable, indeed you have posited that only one is conscious at a time during the process, that the earth original dies (at best) at the instant the planet y copy comes to consciousness. "I" would not want that. But sleep, the gap between awareness and aging don't bother my intuitive sense of "I" ...now, how do we either make this rigorous or expose it as false? Is it possible that the momentary gap in awareness, that actual minimum unit of time is what makes this rigorous?