A geometric-probabilistic method for counting low-lying states in the Bousso-Polchinski Landscape

Details A geometric-probabilistic method for counting low-lying states in the Bousso-Polchinski Landscape A geometric-probabilistic method for counting low-lying states in the Bousso-Polchinski Landscape

2008-12-17

arxiv.org/abs/0812.3247v2

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, 19 figures. Typos corrected. Appendix added improving the main result

Scientific paper

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.

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