A local Wheeler-DeWitt measure for the string landscape
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...
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| Hauptverfasser: | , , , , |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
July 2023
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| In: |
Nuclear physics. B, Particle physics
Year: 2023, Jahrgang: 992, Pages: 1-36 |
| ISSN: | 1873-1562 |
| DOI: | 10.1016/j.nuclphysb.2023.116230 |
| Online-Zugang: | Verlag, kostenfrei, Volltext: https://doi.org/10.1016/j.nuclphysb.2023.116230 Verlag, kostenfrei, Volltext: https://www.sciencedirect.com/science/article/pii/S0550321323001591 
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| Verfasserangaben: | Bjoern Friedrich, Arthur Hebecker, Manfred Salmhofer, Jonah Cedric Strauß, Johannes Walcher |
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| 520 | |a 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 vacuum. 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. | ||
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