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

Understand

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 regime 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 an effective occupation number, an estimator for the minimum cosmological constant and a possible influence on the KKLT stabilization mechanism.