Three Fermion Generations as CP/T-Asymmetric Identity Transformation: The CKM Lower Bound, Irreversible Pruning, and the Minimal Flavor Architecture of Finite Distinction Systems

Yining Wu · 2026-05-19

v2.0 integrated canonical version. Proves that one primitive Dirac CP/T orientation demand in a charged-current identity-update sector requires minimal flavor dimension N=3. The CKM sector supplies the canonical application (N_q=3). The PMNS sector is a conditional full-sector extension (N_ℓ=3 under the same capacity demand). Separates orientation capacity from mixing texture: CKM and PMNS may have radically different angle patterns while sharing the same minimal N=3 Dirac-orientation threshold. The hard algebraic core N_min(r) = ceil((3+√(1+8r))/2) is independent of mixing angles.

@misc{wu2026fdsx2,
  author = {Yining Wu},
  title = {Three Fermion Generations as CP/T-Asymmetric Identity Transformation: The CKM Lower Bound, Irreversible Pruning, and the Minimal Flavor Architecture of Finite Distinction Systems},
  year = {2026},
  doi = {10.5281/zenodo.20289955},
}