Ohh.....I think I understand now. Ok, so assume this killer is in Universe A. He travels back in time in Universe A and kills his grandmother. Another Universe, Universe B would appear as a result of killing his grandmother. This universe in turn does not have his grandmother killed and so life goes on in Universe B. But in Universe A, because his grandmother is killed, therefore, Universe A halts to a stop, for it ceases to exist. When the gradmother dies, the killer is never born, and Universe A will stop (no events will succeed Universe A any longer.) Does this answer your question now?