A geometric-probabilistic method for counting low-lying states in the Bousso-Polchinski Landscape
High Energy Physics - Theory
2013-05-29 v2 General Relativity and Quantum Cosmology
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.
Keywords
Cite
@article{arxiv.0812.3247,
title = {A geometric-probabilistic method for counting low-lying states in the Bousso-Polchinski Landscape},
author = {Cesar Asensio and Antonio Segui},
journal= {arXiv preprint arXiv:0812.3247},
year = {2013}
}
Comments
27 pages, 19 figures. Typos corrected. Appendix added improving the main result