We demonstrate that the observed multiplicity of two-body versus three-body hadronic decay channels is a direct consequence of G₂ node permutation geometry on the Fano plane. Every octonion basis unit (parent node) lies on exactly 3 Fano lines through itself — corresponding to 3 two-body decay channels — and is absent from exactly 4 Fano lines — corresponding to 4 three-body channels — giving a universal 34 = 7 total. This ratio, modulated by phase space, is confirmed exactly by the K⁺ PDG decay table: 3 two-body channels and 4 three-body channels are observed, exhausting all 7 slots. The result emerges from the associative sub-geometry of the octonion algebra (Fano lines on which the associator vanishes), not from its non-associativity. Zero free parameters are introduced. Part of the One-Octonion Brane-Bulk Framework series. Anchor DOI: 10.5281/zenodo.19120873. Community: one-octonion-brane-bulk. Author: Bharathi Dasan Jagadeesan, M.D., University of Minnesota. ORCID: 0000-0002-1143-941X.
Bharathi Jagadeesan (Fri,) studied this question.