I'm wondering how the discrete space in LQG is effected when it becomes a quantum field. In any given volume, you normally could find a continous amount of intersecting field lines. In LQG, those lines or loops) are discrete, and space is basically a lattice of sorts. So in that case, there would be no continuous space. But what happens when the wave function is added in? Since these loops do not comprise a static background in which matter and energy move about, and are dynamic, any change in energy with a given volume will necessarily change the local geometry. Since the distribution of energy can only be seen in terms of probability, I'm thinking that the geometry of the network of loops could also only be seen in terms of probability. So while space would be discrete from a classic viewpoint, the wave function itself would be continuous. Is this the case?