Q: (R) If we can see some application of it then it will be such that we can back engineer it and figure out the cause of it. Now we are just looking at it in terms of what is it? What is it doing? What is it? But if we can see some application ... (A) Well we see one application, a screen saver. [Laughter.] (R) I think maybe we should find some more interesting application, but it is a good principle to find an application of it because that's what can lead us back to what it is. (A) Yeah, that's true. Well, can you help us with what is the application, give us some direction?
A: Think of the Benzene "Ring."
Q: (R) Is that only used in chemistry? Or is it used in math as well? (L) Do you know the story of the Benzene Ring? (R) No. I only heard about it in chemistry. (M) The story of the Benzene Ring is the guy that came up with and applied to chemistry, dreamed of a snake biting its tail and rolling along, and so he applied that to benzene molecular structure which is double bonds and a single bond sequence. (R) So that seems to mean that we are on the right track by trying to see if there is something there. (L) Maybe the key is the word ring. (A) No you see, what is mysterious, the fact that things are forming, okay, it is discrete structure, numerical errors, roundings, you know all kinds of these artifacts. But, the fact that they look like three dimensional spirals - even if they are created in one dimension - I have no explanation. I don't even have an idea how to explain why would they ever create these spirals? Where are these extra dimensions coming from? I have no idea. (MN) Still, there is no application unless you can solve it.
A: Ring.
Q: (R) Yes, because it's a cycle. It's what was said before. It's like a loop. (L) Well let me ask this - you've got it moving back and forth between two barriers right? Can you make the ends connect? (R) Yes. But then nothing happens because then it just moves and moves and moves, it is just the initial shape moving out and coming in another. So nothing happens the only thing ... (M) The wave doesn't change. (R) Exactly. So it only happens when it has to react with a barrier. (L) Uh huh. (R) That's the only time it happens because that's what's causing ... (B) Could the barrier represent a density? (R) It could, yeah, actually.
A: Double loop.