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

5.3.1 Full-String Theory Simulation on Supercomputers  

- Objective: Directly link the compactification of string theory with the dynamics of inflation.  

- Method:  

  - Lattice Simulations for inflaton field + stabilization flux.  

  - HPC (High-Performance Computing): Use a supercomputer (e.g. Fugaku, Summit) to calculate \( \Lambda \) from the numerical solution of the string theory field equations.  

- Target: Parameter-free predictions for \( r \), \( n_s \), and \( \Lambda \).  

5.3.2 Extra Dimension Signature Search  

- Observational Test:  

  1. Quantum Gravity on the CMB:  

     - Half resonance in the spectrum \( B \)-mode due to oscillation braneworld (Sarangi & Shiu, 2018).  

  2. Gravitational Inverse-Square Law Deviation: