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GR: Fachverband Gravitation und Relativitätstheorie

GR 10: Quantum Gravity and Quantum Cosmology 1

GR 10.1: Vortrag

Mittwoch, 1. April 2020, 16:30–16:45, H-HS IX

On the construction of diffeomorphism-invariant observables — •Leonardo Chataignier — Institut für Theoretische Physik, Universität zu Köln, Zülpicher Straße 77, 50937 Cologne, Germany

We describe a method of construction of diffeomorphism-invariant operators (Dirac observables or “evolving constants of motion”) from the knowledge of the eigenstates of the gauge generator in time-reparametrisation invariant mechanical systems. These invariant operators evolve unitarily with respect to an arbitrarily chosen time variable. We emphasise that the dynamics is relational, both in the classical and quantum theories. We conclude with some remarks about possible phenomenological applications of this framework, such as singularity avoidance in quantum cosmology.

Ref.: L.C., “On the Construction of Quantum Dirac Observables and the Emergence of WKB Time”, arXiv:1910.02998 [gr-qc].