Abdi, Abdulaziz: Rank-One Collapse and the Emergence of Hierarchy (IRMT XII): Koide as a Geometric Crossing in Projected Relational Operators

The charged lepton masses exhibit a remarkable empirical structure captured by the Koide relation, yet the dynamical origin of this relation remains unknown. Within Information Relational Manifestation Theory (IRMT), earlier work showed that the Cl(3) boundary algebra and its Frobenius-norm geometry naturally contain the Koide structure, but subsequent experiments revealed that the low-energy relational Dirac spectrum repeatedly relaxes toward a coherent symmetric triplet with K ≈ 1/3 rather tha