  We investigate quantum gravity on simplicial lattices using Regge calculus
with special emphasize on the problem of the unbounded action. The role of the
entropy for the path integral is discussed in detail. Our numerical results
show further evidence for the existence of an entropy dominated region with
well defined expectation values even for unbounded action. Analyses are
performed both for the standard regular triangulation of the 4-torus and for
irregularly triangulated lattices obtained by insertion of vertices using
barycentric subdivision.
