Inflationary Solutions in Twistor-EBIKK-β Theory of Everything

We present a complete inflationary scenario derived from the Twistor-Entropic-Born-InfeldKaluza-Klein-β (Twistor-EBIKK-β) framework. The model naturally generates cosmic inflation through a combination of twistor field dynamics and Kaluza-Klein compactification, predicting a scalar spectral index ns ≈ 0.967 and tensor-to-scalar ratio r ≈ 0.0033, in excellent agreement with Planck and BICEP/Keck observations. The theory additionally predicts a blue-tilted gravitational wave spectrum (nt ≈ +0.1) and provides a geometric mechanism for reheating through twistor-Higgs mixing.