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Isometric evolution in de Sitter quantum gravity

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arxiv 2302.06603 v2 pith:RXDWBIDV submitted 2023-02-13 hep-th gr-qc

Jordan Cotler , Kristan Jensen This is my paper
classification hep-thgr-qc
keywords gravityevolutiontimeeinsteinfindisometricjackiw-teitelboimquantum
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We study time evolution in two simple models of de Sitter quantum gravity, Jackiw-Teitelboim gravity and a minisuperspace approximation to Einstein gravity with a positive cosmological constant. In the former we find that time evolution is isometric rather than unitary, and find suggestions that this is true in Einstein gravity as well. The states that are projected out under time evolution are initial conditions that crunch. Along the way we establish a matrix model dual for Jackiw-Teitelboim gravity where the dilaton varies on the boundary.

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  1. Norm of the no-boundary state

    hep-th 2025-06 conditional novelty 7.0 of 10

    At one loop and late time, the norm of the Hartle-Hawking no-boundary state vanishes as e^{S0}/(vol(SO(d,1)) S0^{d(d+1)/4}), and adding an observer stabilizes it to a large positive value.

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