Working Paper Article Version 1 This version is not peer-reviewed

Hartle-Hawking boundary conditions as Nucleation by de Sitter Vacuum

Version 1 : Received: 12 September 2019 / Approved: 13 September 2019 / Online: 13 September 2019 (12:29:54 CEST)

How to cite: Corda, C.; Feleppa, F.; Licata, I. Hartle-Hawking boundary conditions as Nucleation by de Sitter Vacuum. Preprints 2019, 2019090133 Corda, C.; Feleppa, F.; Licata, I. Hartle-Hawking boundary conditions as Nucleation by de Sitter Vacuum. Preprints 2019, 2019090133

Abstract

It is shown that, for a de Sitter Universe, the Hartle-Hawking (HH) wave function can be obtained in a simple way starting from the Friedmann- Lemaitre-Robertson-Walker (FLRW) line element of cosmological equations. An oscillator having imaginary time is indeed derived starting from the Hamiltonian obtaining the HH condition. This proposes again some crucial matter on the meaning of complex time in cosmology. In order to overcome such difficulties, we propose an interpretation of the HH framework based on de Sitter Projective Holography.

Keywords

Hartle-Hawking state; de Sitter Universe; de Sitter Projective Holography.

Subject

Physical Sciences, Astronomy and Astrophysics

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