Hamburg 2016 – wissenschaftliches Programm
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GR: Fachverband Gravitation und Relativitätstheorie
GR 3: Quantum Gravity II
GR 3.4: Vortrag
Montag, 29. Februar 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.