We relax the definition of the Ambjorn-Loll causal dynamical triangulation
model in 1+1 dimensions to allow for a varying lapse. We show that, as long as
the spatially averaged lapse is constant in time, the physical observables are
unchanged in the continuum limit. This supports the claim that the time slicing
of the model is the result of a gauge fixing, rather than a physical preferred
time slicing.Comment: 14 pages, 2 figure