Stochastic Selection of Cosmological Constant in Chaotic Inflation: A String Theory Landscape Approach

Chaotic inflation (Linde, 1983) and multiverse predictions.

The string theory landscape (Bousso-Polchinski, 2000) as a source of variation in .

b. Research Gap:

There is no model that integrates all three with a complete mathematical derivation.

c. Paper Contribution:

Formalization of stochastic in chaotic inflation + landscape.

Numerical simulation and observational protocol.

2. Mathematical Formalism

2.1 Inflaton Model of String Theory

a. Inflaton potential of stabilization moduli (KKLT):

V()=V0+AeaBeb+i=1Nqi22i2   V()=V0+Butand Beb+i=1N2qi2i2