A local Wheeler-DeWitt measure for the string landscape

• Verfasst von: Friedrich, Björn Steven [VerfasserIn]
• Verfasst von: Hebecker, Arthur [VerfasserIn]
• Verfasst von: Salmhofer, Manfred [VerfasserIn]
• Verfasst von: Strauß, Jonah Cedric [VerfasserIn]
• Verfasst von: Walcher, Johannes [VerfasserIn]
• Titel: A local Wheeler-DeWitt measure for the string landscape
• Verf.angabe: Bjoern Friedrich, Arthur Hebecker, Manfred Salmhofer, Jonah Cedric Strauss, Johannes Walcher
• E-Jahr: 2022
• Jahr: 19 May 2022
• Umfang: 41 S.
• Fussnoten: Gesehen am 01.06.2022
• Titel Quelle: Enthalten in: De.arxiv.org
• Ort Quelle: [S.l.] : Arxiv.org, 1991
• Jahr Quelle: 2022
• Band/Heft Quelle: (2022), Artikel-ID 2205.09772, Seite 1-41
• DOI: doi:10.48550/arXiv.2205.09772
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: General Relativity and Quantum Cosmology
• Sach-SW: High Energy Physics - Theory
• K10plus-PPN: 1805501615

Abstract

According to the `Cosmological Central Dogma', de Sitter space can be viewed as a quantum mechanical system with a finite number of degrees of freedom, set by the horizon area. We use this assumption together with the Wheeler-DeWitt (WDW) equation to approach the measure problem of eternal inflation. Thus, our goal is to find a time-independent wave function of the universe on a total Hilbert space defined as the direct sum of a variety of subspaces: A finite-dimensional subspace for each de Sitter vacuum and an infinite-dimensional subspace for each terminal Minkowski or AdS vaccuum. We argue that, to be consistent with semiclassical intuition, such a solution requires the presence of sources. These are implemented as an inhomogenous term in the WDW equation, induced by the Hartle-Hawking no-boundary or the Linde/Vilenkin tunneling proposal. Taken together, these steps unambiguously lead to what we would like to think of as a `Local WDW measure,' where `local' refers to the fact that the dS part of the resulting wave function describes a superposition of static patches. The global 3-sphere spatial section of the entire multiverse makes no appearance.