CKM Quark Mixing Matrix from the Fano Plane: The Cabibbo Angle as 1/√(N₂−1) in the OTIS Framework
Zeksel, Sergey Borisovich;
CKM Quark Mixing Matrix from the Fano Plane: The Cabibbo Angle as 1/√(N₂−1) in the OTIS Framework
The Cabibbo angle is derived from OTIS octonion geometry as sin θ₁₂ = 1/√(N₂−1) = 1/√20 = 0.22361 (experiment: 0.22563, accuracy 99.1%). Quarks see N₂−1 = 20 Fano flags (one occupied by U(1) charge), while neutrinos see all 21 — explaining the systematic difference between small CKM and large PMNS mixing angles. Part of the OTIS series (DOI: 10.5281/zenodo.19160535).
Из октонионной геометрии ОТИС выводится угол Кабиббо: sin θ₁₂ = 1/√(N₂−1) = 1/√20 = 0.22361 (эксперимент: 0.22563, точность 99.1%). Кварки видят N₂−1 = 20 флагов Фано (один занят зарядом U(1)), нейтрино — все 21. Этим объясняется различие между малыми углами CKM и большими углами PMNS. Часть серии ОТИС (DOI: 10.5281/zenodo.19160535).
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
selected citations
Citations provided by BIP!
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
Popularity provided by BIP! 0
Average
Average
Average
Green
Fields of Science