  Studying transition amplitudes in (2+1)-dimensional causal dynamical
triangulations, Cooperman and Miller discovered speculative evidence for
Lorentzian quantum geometries emerging from its Euclidean path integral. On the
basis of this evidence, Cooperman and Miller conjectured that Lorentzian de
Sitter spacetime, not Euclidean de Sitter space, dominates the ground state of
the quantum geometry of causal dynamical triangulations on large scales, a
scenario akin to that of the Hartle-Hawking no-boundary proposal in which
Lorentzian spacetimes dominate a Euclidean path integral. We argue against this
conjecture: we propose a more straightforward explanation of their findings,
and we proffer evidence for the Euclidean nature of these seemingly Lorentzian
quantum geometries. This explanation reveals another manner in which the
Euclidean path integral of causal dynamical triangulations behaves correctly in
its semiclassical limit--the implementation and interaction of multiple
constraints.
