Probabilities in the Arkani-Hamed-Dimopolous-Kachru landscape

Abstract

In a previous paper we found that in the context of the string theory ``discretuum'' proposed by Bousso and Polchinski, the cosmological constant probability distribution varies wildly. However, the successful anthropic predictions of the cosmological constant depend crucially on the assumption of a flat prior distribution. We conjectured that the staggered character of our Bousso-Polchinski distribution will arise in any landscape model which generates a dense spectrum of low-energy constants from a wide distribution of states in the parameter space of the fundamental theory. Here we calculate the volume distribution for $\Lambda$ in the simpler Arkani-Hamed-Dimopolous-Kachru landscape model, and indeed this conjecture is borne out.

arXiv comment12 pages, 4 figures

References in corpus (7)

• Quantization of Four-form Fluxes and Dynamical Neutralization of the Cosmological Constant
• Predictions from Quantum Cosmology
• Recycling universe
• The cosmological constant and the time of its dominance
• Nucleation Rates in Flat and Curved Space
• Probabilities in the Bousso-Polchinski multiverse
• Coincident brane nucleation and the neutralization of Λ

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• Anthropic prediction in a large toy landscape
• Negative vacuum energy densities and the causal diamond measure
• Anthropic prediction for a large multi-jump landscape
• Reheating-volume measure in the landscape
• Multiverse rate equation including bubble collisions