How close is LQG/SF to Wen's lattice spin models

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Wen's papers purport to show that given a 3D extended lattice spin model, the emergence of light, electrons, gravitons and others should work well. How similar is what he is doing with what LQG and SF have done?

How hard would it be to construct a verion of LQG/SF that reproduces all of Wen's results in creating SM particles and gravitons.
 

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Kea
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Wen's papers purport to show that given a 3D extended lattice spin model, the emergence of light, electrons, gravitons and others should work well. How similar is what he is doing with what LQG and SF have done?
Wen's papers use knotty string diagrams, common in modern algebras arising from higher categorical structures. I don't see what that has to do with LQG.
 

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