Multiverse rate equation including bubble collisions
arXiv:1210.7181 · doi:10.1103/PhysRevD.87.063501
Abstract
The volume fractions of vacua in an eternally inflating multiverse are described by a coarse-grain rate equation, which accounts for volume expansion and vacuum transitions via bubble formation. We generalize the rate equation to account for bubble collisions, including the possibility of classical transitions. Classical transitions can modify the details of the hierarchical structure among the volume fractions, with potential implications for the staggering and Boltzmann-brain issues. Whether or not our vacuum is likely to have been established by a classical transition depends on the detailed relationships among transition rates in the landscape.
20 pages, 1 figure, plus references; v2: references added, revised discussion of Boltzmann brains; v3 matches published version
References in corpus (48)
- Quantization of Four-form Fluxes and Dynamical Neutralization of the Cosmological Constant
- The statistics of string/M theory vacua
- From the Big Bang Theory to the Theory of a Stationary Universe
- Eternal inflation and its implications
- Disturbing Implications of a Cosmological Constant
- Inflation and Eternal Inflation
- Probabilities in the inflationary multiverse
- Can the universe afford inflation?
- Sinks in the Landscape, Boltzmann Brains, and the Cosmological Constant Problem
- Boltzmann brains and the scale-factor cutoff measure of the multiverse
- Recycling universe
- Thermal derivation of the Coleman-De Luccia tunneling prescription
- When Worlds Collide
- Predicting the cosmological constant with the scale-factor cutoff measure
- Properties of the scale factor measure
- Making predictions in the multiverse
- Is Our Universe Likely to Decay within 20 Billion Years?
- A paradox in the global description of the multiverse
- Probabilities in the Bousso-Polchinski multiverse
- Eternal Symmetree
- Holographic Multiverse
- Quantum Tunneling in Flux Compactifications
- A New Mechanism for Bubble Nucleation: Classical Transitions
- Complementarity in the Multiverse
- A measure of the multiverse
- Observable effects of anisotropic bubble nucleation
- Metastability in Anti de Sitter Space
- Holographic multiverse and conformal invariance
- Populating the Whole Landscape
- Observing the Dimensionality of Our Parent Vacuum
- Flux Discharge Cascades in Various Dimensions
- Odds of observing the multiverse
- Boundary definition of a multiverse measure
- Escaping the crunch: gravitational effects in classical transitions
- Vacuum Structure and the Arrow of Time
- Holographic multiverse and the measure problem
- Anthropic prediction in a large toy landscape
- Stretched extra dimensions and bubbles of nothing in a toy model landscape
- Bubble collisions and measures of the multiverse
- Probability of Slowroll Inflation in the Multiverse
- Anthropic prediction for a large multi-jump landscape
- Probabilities in the Arkani-Hamed-Dimopolous-Kachru landscape
- Measures for a Transdimensional Multiverse
- Vacuum decay in multidimensional field landscapes: thin, thick and intersecting walls
- Phenomenology of the CAH+ measure
- New Scale Factor Measure
- Multi-Vacuum Initial Conditions and the Arrow of Time
- Classical Transitions for Flux Vacua