Balanced Flavor Closure and the Koide Charged-Lepton Relation in QDL Occupancy-Amplitude Space

This paper gives a self-contained Quantized Dimensional Ledger interpretation of the empirical Koide charged-lepton mass relation. In QDL, mass is represented by a Planck-normalized occupancy coordinate, so the square-root mass vector appearing in the Koide relation becomes a quarter-power occupancy-amplitude vector. The three charged-lepton generations are decomposed into a democratic singlet channel and a hierarchy doublet channel. The paper introduces balanced irreducible flavor closure as a QDL admissibility axiom: the singlet and doublet components of the charged-lepton occupancy-amplitude vector carry equal squared norm. This condition is shown to be exactly equivalent to a 45-degree angle between the…