Anthropic prediction for Lambda and the Q catastrophe
arXiv:hep-th/0508005 · doi:10.1143/PTPS.163.245
Abstract
We discuss probability distributions for the cosmological constant Lambda and the amplitude of primordial density fluctuations Q in models where they both are anthropic variables. With mild assumptions about the prior probabilities, the distribution P(Lambda,Q) factorizes into two independent distributions for the variables Q and . The distribution for y is largely model-independent and is in a good agreement with the observed value of y. The form of P(Q) depends on the origin of density perturbations. If the perturbations are due to quantum fluctuations of the inflaton, then P(Q) tends to have an exponential dependence on Q, due to the fact that in such models Q is correlated with the amount of inflationary expansion. For simple models with a power-law potential, P(Q) is peaked at very small values of Q, far smaller than the observed value of 10^{-5}. This problem does not arise in curvaton-type models, where the inflationary expansion factor is not correlated with Q.
20 pages, 1 figure
References in corpus (1)
Cited by in corpus (62)
- Dark Energy
- Inflationary Cosmology
- Sinks in the Landscape, Boltzmann Brains, and the Cosmological Constant Problem
- TASI Lectures on the Cosmological Constant
- The Cosmological Constant and the String Landscape
- Boltzmann brains and the scale-factor cutoff measure of the multiverse
- Statistics on the Heterotic Landscape: Gauge Groups and Cosmological Constants of Four-Dimensional Heterotic Strings
- Predicting the cosmological constant with the scale-factor cutoff measure
- Properties of the scale factor measure
- Life at the Interface of Particle Physics and String Theory
- Is Our Universe Natural?
- Accidental Inflation in String Theory
- Physical Theories, Eternal Inflation, and Quantum Universe
- Holographic Multiverse
- What can the observation of nonzero curvature tell us?
- Return of the Boltzmann Brains
- Cosmological measure with volume averaging and the vacuum energy problem
- Predictions in eternal inflation
- The Degree of Fine-Tuning in our Universe -- and Others
- Stationary Measure in the Multiverse
- Vacuum Energy, the Cosmological Constant and Compact Extra Dimensions: Constraints from Casimir Effect Experiments
- Testing anthropic predictions for Lambda and the CMB temperature
- Cosmological Measures without Volume Weighting
- Measure Problem for Eternal and Non-Eternal Inflation
- The Habitable Epoch of the Early Universe
- Watchers of the multiverse
- Observable effects of anisotropic bubble nucleation
- Supercurvaton
- Boundary definition of a multiverse measure
- The distribution of Omega_k from the scale-factor cutoff measure
- A perspective on the landscape problem
- Classical transitions with the topological number changing in the early Universe
- Planets in Other Universes: Habitability constraints on density fluctuations and galactic structure
- The Cosmological Constant Problem, an Inspiration for New Physics
- Observational Constraints on Dynamical Dark Energy Models
- The scale of gravity and the cosmological constant within a landscape
- Bubble collisions and measures of the multiverse
- Taming the Runaway Problem of Inflationary Landscapes
- Negative vacuum energy densities and the causal diamond measure
- Anthropic Bounds on Lambda from the No-Boundary Quantum State
- Probability of Slowroll Inflation in the Multiverse
- Is there any coherent measure for eternal inflation?
- Anthropic predictions for vacuum energy and neutrino masses in the light of WMAP-3
- A signature of anisotropic bubble collisions
- Does string theory predict an open universe?
- Multiverse Predictions for Habitability: The Number of Stars and their Properties
- Measures for a Transdimensional Multiverse
- Right-handed neutrinos as the source of density perturbations
- The CMB and the measure of the multiverse
- Effects of Inhomogeneity on the Causal Entropic prediction of Lambda
- Phenomenology of the CAH+ measure
- Black holes and up-tunneling suppress Boltzmann brains
- Gravity waves from cosmic bubble collisions
- Towards a non-anthropic solution to the cosmological constant problem
- Volume Weighting the Measure of the Universe from Classical Slow-Roll Expansion
- Seeking a Game in which the standard model Group shall Win
- Precision Cosmology and the Landscape
- Anthropic Likelihood for the Cosmological Constant and the Primordial Density Perturbation Amplitude
- Rolling Through a Vacuum
- Measures for a Multidimensional Multiverse
- Dark Matter Annihilations in the Causal Diamond
- An Infrared Divergence Problem in the cosmological measure theory and the anthropic reasoning