Quantum flatness in two-dimensional quantum gravity

Flatness -- the absence of spacetime curvature is a well-understood property macroscopic, classical spacetimes in general relativity. The same cannot be said about concepts and flatness nonperturbative quantum gravity, where microscopic structure not describable terms small fluctuations around fixed background geometry. An interesting case are two-dimensional models which lack limit therefore maximally "quantum". We investigate recently introduced Ricci CDT gravity on torus, whose geometry could expected to behave like flat space suitably coarse-grained scales. On basis Monte Carlo simulations we have performed, with system sizes up 600.000 building blocks, this does seem case. Instead, find scale-independent "quantum flatness", without an obvious analogue. As part our study, develop criterion that allows us distinguish between local global, topological properties toroidal system.