- \( f_{\text{NL}} \sim \mathcal{O}(1) \) is a typical signature of inflaton-stringy interactions.
3. For Galactic Anomalies:
- Deviations of \( \xi(r) \) on large scales may indicate local \( \Lambda \) variations in our bubble universe.
With this protocol, stochastic + string theory inflation models can be tested empirically in the next decade.
5. Discussion & Conclusion
5.1 Consistency with Data
The proposed string theory-based inflation model is strongly consistent with recent observational data:
- Planck 2018:
- The upper bound of the tensor-to-scalar ratio \( r < 0.056 \) (95% CL), with the model predicted value \( r \sim 0.003 \) being within the permitted range.
- Primordial density spectrum \( n_s \approx 0.965 \), in accordance with predictions of slow-roll inflation in the KKLT framework.
- BICEP/Keck Array:
