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

        dphi = (-V_prime / (3 * H_inf) * dt) + noise  

        phi.append(phi[-1] + dphi)  

    return phi  

Calculate residual Lambda  

phi_end = simulate_inflaton(phi0)[-1]  

Lambda = Lambda0 - 0.5 * np.sum(n_i**2 * q_i**2) * M_Pl**4 + V(phi_end)  

Output  

print(f" = {Lambda:.2e} M_Pl^4")  

```  

Code Explanation:  

1. Flux Parameters: The charges `q_i` and the numbers `n_i` are randomized with Gaussian and Poisson distributions.