  To understand spacetime dynamics in the canonical tensor model of quantum
gravity for the positive cosmological constant case, we analytically and
numerically study the phase profile of its exact wave function in a coordinate
representation, instead of the momentum representation analyzed so far. A
saddle point analysis shows that Lie group symmetric spacetimes are strongly
favored due to abundance of continuously existing saddle points, giving an
emergent fluid picture. The phase profile suggests that spatial sizes grow in
"time", where sizes are measured by the tensor-geometry correspondence
previously introduced using tensor rank decomposition. Monte Carlo simulations
are also performed for a few small $N$ cases by applying a re-weighting
procedure to an oscillatory integral which expresses the wave function. The
results agree well with the saddle point analysis, but the phase profile is
subject to disturbances in a large spacetime region, suggesting existence of
light modes there and motivating future computations of primordial fluctuations
from the perspective of canonical tensor model.
