  Simplicial approaches to quantum gravity such as Quantum Regge Calculus and
Spin Foams include configurations where bulk edges can become arbitrarily large
while keeping the lengths of the boundary edges small. Such configurations pose
significant challenges in Euclidean Quantum Regge Calculus, as they lead to
infinities for the partition function and length expectation values. Here we
investigate such configurations in three-dimensional Lorentzian Quantum Regge
Calculus, and find that the partition function and length expectation values
remain finite. This shows that the Lorentzian approach can avoid a key issue of
the Euclidean approach. We also find that the space of configurations, for
which bulk edges can become very large, is much richer than in the Euclidean
case. In particular, it includes configurations with irregular light-cone
structures, which lead to imaginary terms in the Regge action and branch cuts
along the Lorentzian path integral contour. Hence, to meaningfully define the
Lorentzian Regge path integral, one needs to clarify how such configurations
should be handled.
