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No, this is still pure math. One never knows if and for what pure mathematics might prove useful.MTd2 said:wow! Is John Baez back to LQG?
In this case, it isn't clear how 2-groups and higher category theory might eventually apply to QG. It might or it might not.
His three co-authors' research has been mostly in QG. He has taken them on a remarkable excursion into higher category theory.
The original rationale was that Freidel and Livine (also with Baratin) did some very interesting work combining 3D spinfoam and matter and Feynman diagrams of usual field theory in the zero gravity limit. That was in 2006. But try as they might, their results would not extend up to 4D. Baez suggested they venture into n-category theory because it offers a general machinery for jacking up dimensions by one step. Today's paper could provide a missing ingredient for Freidel to jack his 2006 work on 3D QG and matter up to 4D, though it seems like long-odds.
As a rule it is better if we don't burden this bibliography thread with discussion. I will fetch a Baez thread that relates to this paper, so we can talk there if you want, instead of here.
Here is the Baez thread
https://www.physicsforums.com/showthread.php?p=2012718#post2012718
https://www.physicsforums.com/showthread.php?t=123902
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