Heterotic Twistor Construction of EBIKK-β: Unifying String Theory with β-Regularized Gravity

We present a consistent embedding of the EBIKK-β model into heterotic string theory through twistor compactification. The constructionresolves three major conflicts between EBIKK-β and string theory while preserving all observational predictions of the original framework. Keyachievements include: (1) a torsionful AdS5 × CP3twisted/Z2 × T2 vacuum solution, (2) spontaneous SUSY breaking with m3/2 ∼ 10−3eV gravitino dark matter, and (3) UV completion satisfying all Swampland conjectures. The model predicts distinctive gravitational wave spectra with acharacteristic break at f ∼ β−1/8 ≈ 10−3 Hz testable by LISA.