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GR: Fachverband Gravitation und Relativitätstheorie

GR 3: Quantum Gravity II

GR 3.4: Talk

Monday, February 29, 2016, 17:45–18:05, VMP6 HS A

Chaos, Dirac observerbles and constraint quantization — •Philipp Höhn¹, Bianca Dittrich², Tim Koslowski³, and Mike Nelson⁴ — ¹Institute for Quantum Optics and Quantum Information, Austrian Academy of Sciences, Vienna, Austria — ²Perimeter Institute for Theoretical Physics, Waterloo, Canada — ³Instituto de Ciencias Nucleares, Universidad Nacional Autonoma de Mexico, Mexico — ⁴African Institute for Mathematical Sciences, Legon, Accra, Ghana

There is strong evidence that a generic general relativistic spacetime features chaotic dynamics. This has severe (and often ignored) repercussions for the quantization and interpretation of the dynamics as a chaotic (Hamiltonian) constrained system generally does not give rise to a Poisson algebra of Dirac observables. Nevertheless, in certain cases one can explicitly quantize such systems. By means of toy models, I will discuss general challenges and some surprising consequences for the quantum theory of chaotic constrained systems which presumably will also appear in canonical quantum gravity.