well sure the necklace could have an origin, but it couldn't exist inside your view of 'time' looping because once the looping starts, it creates a never ending cycle of looping reality. but originally it would have existed & started the looping. This is a theory based on a higher reality outside the time paradox box, in which is only possible if you believe that there are actually dimensions that exist outside of time, which would make 'time' a much more smaller reality to manipulate. Therefore, the grandma and grandfather just branched off into another reality of random possibilities within that 'time' dimension, thus begins the looping. But within that 'time' looping, that exists in the 'time' dimension, there is always a beginning and an end, but outside of that 'time' dimension do we find the only possible way to find it's origin, because it exists outside of time and the looping. i believe this is quantum physics and/or quantum theory. Great starts on the replies guys, but uh, not very in depth at all.