New Developments in the Spectral Asymptotics of Quantum Gravity
  A vanishing one-loop wave function of the Universe in the limit of small three-geometry is found, on imposing diffeomorphism-invariant boundary conditions on the Euclidean 4-ball in the de Donder gauge. This result suggests a quantum avoidance of the cosmological singularity driven by full diffeomorphism invariance of the boundary-value problem for one-loop quantum theory. All of this is made possible by a peculiar spectral cancellation on the Euclidean 4-ball, here derived and discussed. 
Giampiero Esposito, Guglielmo Fucci, Alexander Yu. Kamenshchik, Klaus   Kirsten