SCALING STRUCTURES IN 4-DIMENSIONAL SIMPLICIAL GRAVITY

Four-dimensional(4D) spacetime structures are investigated using the c oncept of the geodesic distance in the simplicial quantum gravity. On the analogy of the loop length distribution in 2D case, the scaling re lations of the boundary volume distribution in 4D are discussed in var ious coupling regions i.e. strong-coupling phase, critical point and w eak-coupling phase. In each phase the different scaling relations are found.