New Developments in the Spectral Asymptotics of Quantum Gravity

Details New Developments in the Spectral Asymptotics of Quantum Gravity New Developments in the Spectral Asymptotics of Quantum Gravity

2005-08-02

arxiv.org/abs/hep-th/0508016v3

J.Phys. A39 (2006) 6317-6322

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, latex file. Paper prepared for the Conference "QFEXT05: Quantum Field Theory Under the Influence of External Conditio

Scientific paper

10.1088/0305-4470/39/21/S23

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.

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