WEAVE STATES IN LOOP QUANTUM-GRAVITY

Weaves are eigenstates of geometrical operators in nonperturbative qua ntum gravity, which approximate flat space (or other smooth geometries ) at large scales. We describe two such states, which diagonalize the area as well as the volume operators. The existence of such states sho ws that some earlier worries about the difficulty of realizing kinemat ical states with non-vanishing volume can be overcome. We also show th at the Q operator used in earlier work for extracting geometrical info rmation from quantum states does not capture more information than the area and volume operators.