Unitary and Vilenkin’s wave functions

Alexandre, Bruno; Raymond, Isichei,; Magueijo, João

doi:10.1103/physrevd.108.023526

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2023

2024

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Cited by 4 publications

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“…More recently, a signature changing metric and topology change have been used to "save" unitarity for the Vilenkin wave function [13], with a model where a semi-infinite tower of Euclidean spheres is glued to half a de Sitter spacetime within a fundamentally real theory.…”

Section: Introductionmentioning

confidence: 99%

Overall signature of the metric and the cosmological constant

Alexandre,

Gielen,

Magueijo

2024

J. Cosmol. Astropart. Phys.

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We consider a little known aspect of signature change, where the overall sign of the metric is allowed to change, with physical implications. We show how, in different formulations of general relativity, this type of classical signature change across boundaries with a degenerate metric can be made consistent with a change in sign (and value) of the cosmological constant Λ. In particular, the separate “mostly plus” and “mostly minus” signature sectors of Lorentzian gravity are most naturally associated with different signs of Λ. We show how this general phenomenon allows for classical solutions where the open dS patch can arise from a portion of AdS space time. These can be interpreted as classical “imaginary space” extensions of the usual Lorentzian theory, with a 2 < 0.

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Section: Introductionmentioning

confidence: 99%