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Notes on the (2+1)-Dimensional Wheeler-DeWitt Equation

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arxiv gr-qc/9309002 v1 pith:TQMLOGAR submitted 1993-09-02 gr-qc

Steven Carlip This is my paper · ORCID
classification gr-qc
keywords wheeler-dewittdimensionalequationquantizationappearsapproachescomplicatedcontrast
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In contrast to other approaches to (2+1)-dimensional quantum gravity, the Wheeler-DeWitt equation appears to be too complicated to solve explicitly, even for simple spacetime topologies. Nevertheless, it is possible to obtain a good deal of information about solutions and their interpretation. In particular, strong evidence is presented that Wheeler-DeWitt quantization is not equivalent to reduced phase space quantization.

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  1. The spectrum of pure dS$_3$ gravity in the static patch

    hep-th 2025-05 conditional novelty 6.0 of 10

    The static-patch partition function of three-dimensional de Sitter gravity is identified with the future-boundary wavefunction, giving a dense discrete spectrum with negative degeneracies.

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