The Charged-Lepton Family-Rank Gate

One finite rank gate for the charged leptons Concept DOI: 10.5281/zenodo.20698191 Author: Ali Attar Website: quantumtraction.org Main book anchor: Quantum Traction Theory: Main Book v10.01 This paper organizes the electron, muon, and tau masses as a single charged-lepton family-rank construction. The goal is not three unrelated fitted windows, but one finite source-word operator whose trace and determinant constraints populate the family together. The rank gate is summarized by \[ \mathrm{Tr}\,\mathbb I_E=0, \qquad \det\mathbb R_E=1, \qquad (m_e,m_\mu,m_\tau)=\mathcal F_E^{\mathrm{QTT}}(W_e,W_\mu,W_\tau;N_e,N_\mu,N_\tau). \] The paper's scientific value is the provenance: the windows, words, and family population rules are kept as source objects rather than adjusted per lepton after the masses are known. Core labels: Σ-CHARGED-LEPTON-FAMILY-RANK, Σ-SOURCE-WORD-UNIQUENESS, Σ-FINITE-ENUMERATION-CERTIFICATE.