The semiclassical approximation to quantum gravity and its observational consequences

[摘要] We study possible observational effects from the Wheeler-DeWitt equation of quantum geometrodynamics. For this purpose, we perform a semiclassical expansion and derive quantum-gravitational correction terms that are inversely proportional to the Planck mass squared. We apply these results to cosmology and calculate the resulting modification of the CMB power spectrum. Although the correction terms are too small to be currently observable, they could provide the key for future tests of quantum gravity.

[发布机构] Institut für Theoretische Physik, Universität zu Köln, Zülpicher Straße 77, 50937 Köln, Germany^1;Copernicus Center for Interdisciplinary Studies, ul. Slawkowska 17, 31-016 Kraków, Poland^2

[效力级别] 力学 [学科分类] 力学，机械学

[关键词] Correction terms;Planck mass;Quantum gravity;Semi-classical approximation;Wheeler-De Witt equation