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UV Fixed-Point Proof & Electroweak Lattice Test

Version 12.3 Published: 2025-04-24
Asymptotic-Safety Lattice

Abstract

Establishes an asymptotically safe UV fixed point for gravity–scalar–gauge couplings and confirms electroweak mass relations in a 2×2 twistor lattice.

Key Results

  • Finds a non-trivial UV fixed point with two relevant directions and suppressed U(1)_Y Landau pole
  • Twistor-lattice simulation reproduces M_W/M_Z ≈ 0.88 and correct Weinberg angle to <0.1 %
  • Predicts near-unified gauge couplings at ≈10¹⁶ GeV within the RFT flow

Citation

@article{Fitzpatrick2025RFT12_3, author = {Fitzpatrick, I.}, title = {UV Fixed-Point Proof & Electroweak Lattice Test}, journal = {RFT Cosmology Preprint}, year = {2025}, note = {Version 12.3} }