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- W2077824956 abstract "The authors investigate the no-boundary path integral prescription in a Regge calculus model in three spacetime dimensions. The simplicial manifold is topologically the 'doughnut' D*S1, where D is the two-dimensional closed disc. The discretization and the edge lengths are chosen symmetrically so that the boundary 2-metric is completely described by two independent edge lengths, and the interior 3-metric is completely described by these plus two further independent edge lengths. They pass to a limit in which the discretization on the boundary becomes infinitely dense. The classical solutions in the resulting semi-continuum model are in qualitative agreement with the solutions to the continuum Einstein equations with the same boundary data. Convergent contours for the no-boundary integral in the semi-continuum model are sought in analogy with the conformal rotation prescription of Gibbons et al (1978) and using steepest-descent techniques to analyse the contours for the conformal factor. A convergent prescription is found in the case of a vanishing cosmological constant, and the resulting wavefunction is shown to have the expected semiclassical behaviour. Possible reasons for the authors not being able to find a similar prescription with a non-vanishing cosmological constant are discussed." @default.
- W2077824956 created "2016-06-24" @default.
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- W2077824956 date "1992-01-01" @default.
- W2077824956 modified "2023-09-24" @default.
- W2077824956 title "Regge calculus in anisotropic quantum cosmology" @default.
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- W2077824956 doi "https://doi.org/10.1088/0264-9381/9/1/007" @default.
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