If you extrapolate this notion, which is something I have done and find an interesting theory, then consciousness is really a moment's event, like a processor's tick. Every tick you sense things, retrieve things from memory, and serialize a bunch more things into memory (including the working memory of say, a conscious movement you're doing right now.) The next moment another "you" comes along and lives that moment. To me it's the only point at which I can draw this line of "when is it no longer you?", as in being cloned with an exact brain snapshot, or sleeping at night, etc. You are only ever you for that single moment, so what difference is there between the revived you and the you a second from now? It's also a convenient belief in that I feel free to do teleportation when that becomes available (pulverize your body here, recreate your snapshot there.)