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New Developments in the Spectral Asymptotics of Quantum Gravity

Giampiero Esposito·Guglielmo Fucci·Alexander Yu. Kamenshchik·Klaus Kirsten
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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.

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Giampiero Esposito, Guglielmo Fucci, Alexander Yu. Kamenshchik, Klaus Kirsten. 2005-12-13. New Developments in the Spectral Asymptotics of Quantum Gravity. https://doi.org/10.1088/0305-4470%2F39%2F21%2Fs23

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