Canonical Quantization of a Closed Euclidean Universe with a Cosmological Constant

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dc.creatorKim, Sang Pyo
dc.date1999-08-31
dc.date2000-05-06
dc.date.accessioned2026-07-07T11:34:28Z
dc.date.available2026-07-07T11:34:28Z
dc.descriptionWe study canonical quantization of a closed Euclidean universe with a cosmological constant and a massless scalar field. The closed Euclidean universe with an ordinary matter state can be matched at a finite radius only with the closed Lorentzian universe with the Wick-rotated exotic state. The exotic state provides the Lorentzian universe with a potential barrier extending from the cosmological singularity to the classical turning point and corresponding to the Euclidean geometry through the Wick-rotation, and avoid the singularity problem at the matching boundary. We find analytically the approximate wave functions for quantum creation of the Universe from the {\it nothingness}. We prescribe the Hartle-Hawking's no-boundary wave function, Linde's wave function and Vilenkin's tunneling wave function. In particular, we find the wave function for the Euclidean geometry, whose semiclassical solution is regular at the matching boundary with the Lorentzian geometry but singular at the cosmological singularity.
dc.descriptionRevTex 14 pages, no figure; The title is slightly changed because the closed Euclidean universe can be matched at a finite radius with a closed Lorentzian universe but not with an open Lorentzian universe. The matching condition at the finite radius is clarified
dc.identifierhttps://arxiv.org/abs/gr-qc/9909002
dc.identifierhttp://arxiv.org/abs/gr-qc/9909002
dc.identifierJ.KoreanPhys.Soc.38:427-434,2001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/198259
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleCanonical Quantization of a Closed Euclidean Universe with a Cosmological Constant
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