Allowable complex metrics in minisuperspace quantum cosmology

Article Mathematics

WICK ROTATION AND THE POSITIVITY OF ENERGY IN QUANTUM FIELD THEORY

Maxim Kontsevich et al.

Summary: The proposed axiom system assumes the extension of partition function and correlators to a domain of complex-valued metrics; ordinary Riemannian metrics are within this domain, while Lorentzian metrics lie on its boundary.

QUARTERLY JOURNAL OF MATHEMATICS (2021)

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Article Astronomy & Astrophysics

Wave function of simple universes analytically continued from negative to positive potentials

Jean-Luc Lehners

Summary: The paper discusses the correspondence between the canonical partition function in asymptotically AdS universes and the no-boundary proposal for positive vacuum energy, finding that the analytic continuation of the AdS partition function uniquely defines the no-boundary wave function in the simplest minisuperspace model. The study also shows that saddle points with Hawking-Moss/Coleman-De Luccia-type tunneling geometries are irrelevant on the dS side, indicating that simple topology changing geometries do not contribute to the nucleation of the universe.

PHYSICAL REVIEW D (2021)

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Article Astronomy & Astrophysics