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I am contacting you because I would like to know if there is a way to simulate quantum loop theory. Indeed, the S-Knots are much more complex objects than graphs because between the points there is a curve that can be knotted. S-Knots are graph embeddings in 3D and I do not see how such a theory could be simulated numerically. Graphs are easy to represented in computer science, but how encoded these knot. Since the theory is invariant to diffeomorphism, it is desirable to have a numerical representation that also take into account and retains only the knots of the graphs. How to set this type of structure? Is there no way to get rid of the knotting? I know the SpinFoam approach which can be simulated much more easily but it is not equivalent to the original theory.

I don't see any article speaking about, may be there is some big technological limitation ?

Thank you

Clement Deymier