A Local Wheeler-DeWitt Measure for the String Landscape
arXiv:2205.09772 · doi:10.1016/j.nuclphysb.2023.116230
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.
arXiv comment43 pages, 1 figure, v2: minor improvements and references added, v3: analysis improved, appendix removed, further references added, v4: analysis improved
References in corpus (62)
- de Sitter Vacua in String Theory
- Effective Field Theory, Black Holes, and the Cosmological Constant
- Quantization of Four-form Fluxes and Dynamical Neutralization of the Cosmological Constant
- Distance and de Sitter Conjectures on the Swampland
- Distributions of flux vacua
- From the Big Bang Theory to the Theory of a Stationary Universe
- Dimensionless constants, cosmology and other dark matters
- Predictions from Quantum Cosmology
- Eternal inflation and its implications
- What if string theory has no de Sitter vacua?
- The Trouble with de Sitter Space
- Observational Consequences of a Landscape
- Inflation and de Sitter Thermodynamics
- Cosmological Breaking of Supersymmetry?
- Trans-Planckian Censorship and Inflationary Cosmology
- Open Inflation Without False Vacua
- Probabilities in the inflationary multiverse
- Holographic probabilities in eternal inflation
- TASI Lectures on the Cosmological Constant
- Boltzmann brains and the scale-factor cutoff measure of the multiverse
- Computational complexity of the landscape I
- Stationary Universe
- Predicting the cosmological constant with the scale-factor cutoff measure
- Properties of the scale factor measure
- Making predictions in the multiverse
- Holographic No-Boundary Measure
- Eternal Symmetree
- Probabilities in the Bousso-Polchinski multiverse
- Holographic Multiverse
- Can Universe Experience Many Cycles with Different Vacua ?
- What can the observation of nonzero curvature tell us?
- A measure of the multiverse
- Can we predict for the Non-SUSY sector of the Landscape ?
- Eternal observers and bubble abundances in the landscape
- Cycles in the Multiverse
- Vacuum Selection from Cosmology on Networks of String Geometries
- Dark Matter and The Anthropic Principle
- Populating the Whole Landscape
- The Static Quantum Multiverse
- Computational complexity of the landscape II - Cosmological considerations
- Eternal Inflation, Entropy Bounds and the Swampland
- The distribution of Omega_k from the scale-factor cutoff measure
- Black Holes or Firewalls: A Theory of Horizons
- WKB Approaches to Restore Time in Quantum Cosmology: Predictions and Shortcomings
- Quantum Transitions Between Minkowski and de Sitter Spacetimes
- Low Energy Description of Quantum Gravity and Complementarity
- Accessibility Measure for Eternal Inflation: Dynamical Criticality and Higgs Metastability
- Swampland, Trans-Planckian Censorship and Fine-Tuning Problem for Inflation: Tunnelling Wavefunction to the Rescue
- Non-singular AdS-dS transitions in a landscape scenario
- A Finite Measure for the Initial Conditions of Inflation
- The Scale of Inflation in the Landscape
- A probability current analysis of energy transport in open quantum systems
- Cosmological Implications of the String Theory Landscape
- Exactly Solvable Vacuum Decays with Gravity
- Wavefunction of the universe: Reparametrization invariance and field redefinitions of the minisuperspace path integral
- Statistics of Inflating Regions in Eternal Inflation
- Tensor modes on the string theory landscape
- 4-volume cutoff measure of the multiverse
- Black holes and up-tunneling suppress Boltzmann brains
- New Inflation in the Landscape and Typicality of the Observed Cosmic Perturbation
- AdS cycles in eternally inflating background
- Localization on the Landscape and Eternal Inflation