Applications of an exact counting formula in the Bousso-Polchinski Landscape

César Asensio, Antonio Segui

The Bousso-Polchinski (BP) Landscape is a proposal for solving the Cosmological Constant Problem. The solution requires counting the states in a very thin shell in flux space. We find an exact formula for this counting problem which has two simple asymptotic regimes, one of them being the method of counting low $\Lambda$ states given originally by Bousso and Polchinski. We finally give some applications of the extended formula: a robust property of the Landscape which can be identified with its fractal effective dimension, and an estimator for the minimum cosmological constant.