Let's forget about the history of LQG, that means let's forget about that it has been derived from GR in an appropriate formulation (Ashtekar variabes), let's forget about the constraints that had to be implemented; then we can simply use SU(2) spin networks as the starting point for a theory of quantum gravity. The new discussion regarding entropic and holographic approaches (Verlinde, Smolin) are pointing into the same direction. One does not need the GR roots, the theory could be viable w/o its own history. Instead one has to turn this around and derive 4-dim spacetime, GR, dynamics etc. Then there is one central question: why SU(2) SU(2) is the unique remainig structure; it knows something about the 4-dim. spacetime as it is essentially one-half of SO(3,1) ~ SU(2)*SU(2). But if we forget about the history we must forget about SO(3,1), too. So I can rephrase my question: why not SU(N), or SO(N), or some exceptional group?