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

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Asensio, Cesar
Segui, Antonio
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Abstract
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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.
Comment: 27 pages, 19 figures. Typos corrected. Appendix added improving the main result
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High Energy Physics - Theory, General Relativity and Quantum Cosmology
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