A geometric-probabilistic method for counting low-lying states in the Bousso-Polchinski Landscape
arXiv:0812.3247 · doi:10.1103/PhysRevD.80.043515
Abstract
We propose an accurate method for counting states of close to zero and positive cosmological constant in the Bousso-Polchinski Landscape. This method is based on simple geometrical considerations on the high-dimensional lattice of quantized fluxes and on a probabilistic model (the "random hyperplane" model) that provides a distribution of the values of the cosmological constant. Justification of the assumptions made in this model are given by means of numerical experiments.
27 pages, 19 figures. Typos corrected. Appendix added improving the main result
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