From Motl's latest post
(which discusses this
Conventional physics uses quadratic Lagrangians, two-dimensional worldsheets, second-rank tensors under Yang-Mills groups, commutators between two objects, and similar structures based on the number "2" all the time. We know them quite well.
Still, it looks likely that there exists a whole realm of wisdom that remains mostly hidden in a cloud of mystery ... There exist hints that these largely unknown structures might be based on the number "3" in a similar way as the known theories are based on the number "2". This comment looks extremely vague but there are many reasons to see this prophesy.
Hmmm. Sounds familiar.