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

CMB B-mode Oscillations: PT(k)=rP0(k)[1+0.01sin(k/kres)],kres=Rextra PT(k)=rP0(k)[1+0.01sin(k/kres)],kres=Rextra

False Positive Mitigation: Require correlated signals in E E-mode and galaxy surveys.

1. 21-cm Absorption Dipoles: SKA can detect extra dimensions via:Tb15Tb15

Low- CMB-LSS Correlation

For LSST 109 109 galaxies:(S/N)0.3(max30)0.8,S/N>5 for =20 anomalies (S/N)0.3(30max)0.8,S/N>5 for =20 anomalies

Summary Table of Refinements

Aspect
Key Improvement
Impact

Theory
Landscape parameter distributions
Reduces ad hoc fine-tuning

Math
Rigorous SdS SdS + slow-roll
Validates semi-classical approximation

Simulations
RK4 + error propagation
<1% numerical error in

Experiments
Quantified bounds
Testable to 105 105m precision