Yes — that non-locality on the surface is because the braiding structure is non-local when projected.
You are correct and I misspoke:
You don’t lose the information, it becomes non-local on the surface — and so if you’re building a model of the interior from a local sampling of the surface, you get a statistical model built on pseudoknots (again, like a shadow from a lamp).
I think it proves my point that AdS/CFT is hard to talk about :) I’ve still got mixed feelings about the lamp/shadow analogy but thanks for the clarification.
The thread-lamp model isn’t arbitrary; ultimately, we’re looking for some kind of tangle model that rescues geons. So we’re going to need something that looks like continuous tangles on the inside and Feynman diagrams on the outside.
Comments
Yes — that non-locality on the surface is because the braiding structure is non-local when projected.
You are correct and I misspoke:
You don’t lose the information, it becomes non-local on the surface — and so if you’re building a model of the interior from a local sampling of the surface, you get a statistical model built on pseudoknots (again, like a shadow from a lamp).
I think it proves my point that AdS/CFT is hard to talk about :) I’ve still got mixed feelings about the lamp/shadow analogy but thanks for the clarification.
Sure — just one last thought:
The thread-lamp model isn’t arbitrary; ultimately, we’re looking for some kind of tangle model that rescues geons. So we’re going to need something that looks like continuous tangles on the inside and Feynman diagrams on the outside.