Your body dies in the world, its self-sustaining homeostatic circuits fail, it becomes inert and decays - this happens in the world. Your body was made out of parts of the world and resolves back into the world, the parts taken up again by other circuits. It is different with the experiencing that you are. If that were to be erased from the world, from its connection to the world, then it is just as true to say that the appearance of the world and the mode of experiencing associated with it has resolved into nothing, and that in this sense the world has simply ceased to exist. In other words your experiencing was never in the world, but your world was in experiencing. And suppose that the experiencing remained blank after that? This question only makes sense relative to the world's time and space and these are completely gone too. Similarly with any notion of continuity that you might raise - this is gone, but the experiencing has never died - death is only relative to the world.