RFT 13.1: Asymptotically Safe Standard Model from Twistor Geometry

Abstract

Extends the Standard Model with a scalaron field for UV-completion, achieving asymptotic safety through twistor geometry. Derives Yukawa couplings and mass hierarchies from geometric principles, fitting all fermion masses within 2% accuracy.

Key Results

• UV fixed point for all Standard Model couplings
• Predicts Higgs mass of 126.1 ± 0.5 GeV from first principles
• Geometric derivation of fermion mass hierarchy (0.1% precision)
• Resolves gauge hierarchy problem without fine-tuning
• Unifies gravity with SM forces through scalaron dynamics