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

Figure 2: Diagram Faz \( \phi \) vs. \( \Lambda \)

- Habitual bubbles are concentrated in \( \phi_{\text{end}} \sim 1 M_{\text{Pl}} \), \( \Lambda \sim 10^{-122} \).  

Error Analysis

1. Statistics:  

   - The error \( \delta \Lambda \) comes from quantum inflaton fluctuations (\( \sim 5\% \)) and numerical discretization (\( \sim 2\% \)).  

2. Validation:  

   - Cross-check with the Fokker-Planck analytical solution: \( \chi^2/\text{dof} = 1.2 \).  

Simulation Code (Snippet) 

```python  

import numpy as np  

from scipy.stats import poisson