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.
G. Esposito, G. Fucci, A.Yu. Kamenshchik, K. Kirsten (2006). New developments in the spectral asymptotics of quantum gravity. JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL, 39, 6317-6322 [10.1088/0305-4470/39/21/S23].
New developments in the spectral asymptotics of quantum gravity.
KAMENCHTCHIK, ALEXANDR;
2006
Abstract
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
