Phase profile of the wave function of canonical tensor model and emergence of large space–times

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