Fermion Masses and Flavor Mixing from Octave Closure and Cubic Ledger Geometry Single anchor φ-ladder spectra for charged leptons and neutrinos, with CKM/PMNS structure and explicit transport hygiene

The Standard Model treats charged-fermion masses and the CKM/PMNS mixing matrices as empirical inputs. This combined paper proposes a unified structural alternative built from two discrete ingredients: an eight-tick “octave” closure that fixes a canonical reference for hierarchy coordinates, and a base-φ ladder that encodes multiplicative scale separation by auditable rung steps. At a single common anchor scale, each charged fermion is assigned discrete ladder data (sector yardsticks, integer rungs, and a shared charge-to-band rule), yielding absolute mass predictions without per-particle tuning. Flavor mixing is modeled as a consequence of cubic ledger topology on the 3-cube, so that key mixing magnitudes reduce to simple functions of cube combinatorics (8 vertices, 12 edges, 6 faces, 24 vertex-edge slots) together with shared constants (φ and α), again forbidding per-channel fitting. The framework is extended to neutrinos by allowing fractional (quarter-step) rungs on the deep φ-ladder, producing a normal hierarchy with concrete absolute masses and mass-squared splittings under a single declared calibration seam for eV reporting. Several seam-free structural ratios are predicted, including an exact φ-power relation among squared masses, along with specific falsifiers in the charged, mixing, and neutrino sectors. Throughout, renormalization-group running and dataset conventions are treated strictly as bookkeeping transport for comparison to PDG/NuFIT summaries, never as part of the structural coordinates.