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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/8668
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dc.contributor.authorMukherjee, Dipayan-
dc.contributor.authorSahota, Harkirat Singh-
dc.contributor.authorShankaranarayanan, S-
dc.date.accessioned2026-02-18T11:32:33Z-
dc.date.available2026-02-18T11:32:33Z-
dc.date.issued2026-02-09-
dc.identifier.citationClassical and Quantum Gravity, 2026, Vol. 43 (3), AR No. 035015en_US
dc.identifier.issn1361-6382-
dc.identifier.urihttp://hdl.handle.net/2289/8668-
dc.descriptionRestricted Access. An open-access version is available at arXiv.org (one of the alternative locations)en_US
dc.description.abstractBuilding upon our recently established correspondence between quantum cosmology and the hydrogen atom (Sahota et al 2025 arXiv:2505.16863 [gr-qc]), we investigate the specific sector of a negative cosmological constant (Λ < 0) in a flat FLRW Universe with dust. While the positive Λ sector (Sahota et al 2025 arXiv:2505.16863 [gr-qc]) yields a continuous spectrum and a single bounce, we show here that the negative Λ sector leads to a discrete spectrum of energy eigenvalues, effectively quantizing the cosmological constant. Within this dual description, the operatorordering ambiguity parameter appears as the azimuthal quantum number of the hydrogen atom. A skewed Bohr correspondence emerges for the bound states, matching classical evolution at large volumes but deviating near the bounce. By constructing wave packets from these bound states, we demonstrate that the classical Big Bang and Big Crunch singularities are resolved, and the Universe oscillates between quantum bounces and classical turnaround points. The expectation values of the observables indicate a cyclic Universe—with vanishing Hubble parameter at turnarounds undergoing quantum bounces. This exactly solvable model offers a tractable setting to explore quantum gravitational effects in cosmology. We analyze the properties of this cyclic Universe, contrasting its bound-state dynamics with the scattering states of the de Sitter case.en_US
dc.language.isoenen_US
dc.publisherClassical and Quantum Gravityen_US
dc.relation.urihttps://doi.org/10.48550/arXiv.2601.20286en_US
dc.relation.urihttp://dx.doi.org/10.1088/1361-6382/ae3e4ben_US
dc.rights2026 IOP Publishing Ltd.en_US
dc.titleQuantum cosmology as a hydrogen atom: discrete Λ and cyclic universes from Wheeler–DeWitt quantizationen_US
dc.typeArticleen_US
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