  Understanding the microscopic behavior of spacetime is critical for
developing a theory of quantum gravity and perhaps solving the cosmological
constant problem. In this context, it has been proposed that the quantity of
interest is the quantum uncertainty in the Ricci scalar and here we investigate
this for a discrete baby quantum gravity model based a single square cell. We
find that the averaged Ricci scalar vanishes to leading order but has
UV-divergent fluctuations. While this behavior is stable under renormalization,
it appears not to be under the introduction of a small cosmological constant.
