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Scalaron–Twistor Phenomenology: Three Generations & SM Fit
Abstract
Extends the unified scalaron–twistor framework to particle physics and cosmology. A Chern-index-3 topology in the scalaron–twistor bundle naturally yields exactly three fermion generations, while overlap integrals between localized twistor modes and the scalaron background reproduce the observed fermion-mass hierarchy and CKM/PMNS mixing. The same field content matches Standard-Model parameters, achieves gauge-coupling unification near 10¹⁶ GeV, and remains consistent with Planck-2025 cosmology.
Key Results
- Derives three generations from a scalaron–twistor Chern index 3
- Fits charged-lepton and quark masses via wave-function overlaps
- Preserves SM couplings, inflation observables, and dark-energy equation-of-state
Citation
@article{Fitzpatrick2025RFT12,
author = {Fitzpatrick, I.},
title = {Scalaron–Twistor Phenomenology: Three Generations & SM Fit},
journal = {RFT Cosmology Preprint},
year = {2025},
note = {Version 12.0}
}