We review a recently discovered continuum limit for the one-matrix model
which describes "causal" two-dimensional quantum gravity. The behaviour of the
quantum geometry in this limit is different from the quantum geometry of
Euclidean two-dimensional quantum gravity defined by taking the "standard"
continuum limit of the one-matrix model. Geodesic distance and time scale with
canonical dimensions in this new limit, contrary to the situation in Euclidean
two-dimensional quantum gravity. Remarkably, whenever we compare, the known
results of (generalized) causal dynamical triangulations are reproduced exactly
by the one-matrix model. We complement previous results by giving a geometrical
interpretation of the new model in terms of a generalization of the loop
equation of Euclidean dynamical triangulations. In addition, we discuss the
time evolution of the quantum geometry.Comment: 10 pages, 4 figures, Presented at "The 48th Cracow School of
Theoretical Physics: Aspects of Duality", June 13-22, 2008, Zakopane, Polan