Completing the DBQTM: Inflation from a Third Warped Throat

Abstract We complete the Dual-Brane Quantum Tunneling Model (DBQTM) by introducing a third Klebanov–Strassler throat that naturally generates the inflationary energy scale. A shallow throat with flux integers (K3,M3)=(3,27) yields a warp factor kd3≈3.5 and an infrared scale AIR,3≈6.5×1015 GeV, which sources higher‑curvature R2 corrections in the 4D effective action. These corrections produce a Starobinsky‑like inflationary potential predicting ns=0.964,r=0.004, in excellent agreement with Planck and within reach of LiteBIRD and CMB‑S4. The scalaron decay reheats the universe to TRH≈2.5×109 GeV, precisely matching the requirement for gravitational freeze‑in production of the 133 GeV glueball dark matter of Paper II. All moduli remain stabilized during inflation, and backreaction on the other throats is negligible. This work unifies dark energy, dark matter, and inflation within a single multi‑throat flux compactification.