Modular-holonomy partitions determine the Standard Model charge ledger

Why the Standard Model charge table lives on dyads and triads Version: 2.5 Concept DOI: 10.5281/zenodo.20045140 Author: Ali Attar Website: quantumtraction.org Main book anchor: Quantum Traction Theory: Main Book v10.01 The Standard Model charge table is normally specified by choosing the gauge group, assigning hypercharges, and checking anomaly cancellation. This paper asks a narrower source question: can the dyadic and triadic denominators of the charge ledger be read from QTT modular closure? A7 gives the completed address budget \[ Q_w^{\mathrm{bundle}}=2\pi, \qquad Q_w^{\mathrm{bundle}}=Q_w^{\mathrm{vis}}+Q_w^{\mathrm{hid}}. \] An equal \(n\)-share closure has \[ 2\pi=\sum_{j=1}^n\varphi_j, \qquad \varphi_1=\cdots=\varphi_n={2\pi\over n}. \] With QTT birth-minimality restricting elementary closures to \(n\in\{1,2,3\}\), the address-level ledger reads \[ n=1\mapsto U(1), \qquad n=2\mapsto SU(2), \qquad n=3\mapsto SU(3). \] The equal-turn closure operator is \[ z_n=\exp\left(J{2\pi\over n}\right)\mathbb 1_n, \] so it is central by construction. The resulting centers are \[ Z(SU(2))\cong\mathbb Z_2, \qquad Z(SU(3))\cong\mathbb Z_3, \] and the dyad--triad product gives the familiar denominator structure behind the shared-center quotient \[ G_{\mathrm{ledger}}\simeq {SU(3)\times SU(2)\times U(1)_Y\over\mathbb Z_6}. \] The hypercharge values themselves are kept in their standard field-theory lane. With one generation of chiral content and the normalization \(Y_L=-1\), anomaly cancellation fixes \[ Y_L=-1, \quad Y_Q={1\over3}, \quad Y_{e_R}=-2, \quad Y_{u_R}={4\over3}, \quad Y_{d_R}=-{2\over3}. \] The unbroken electromagnetic generator remains \[ Q_{\mathrm{em}}=T_3+{Y\over2}. \] The paper's claim is therefore structural, not a new low-energy particle model: anomaly equations still do the hypercharge filtering; QTT supplies a proposed microscopic origin for why the ledger being filtered is the monadic/dyadic/triadic closure lattice. What to audit in the paper: the equal-share \(J\)-unitary relabelling lemma; the centrality of \(z_n=\exp(J2\pi/n)\mathbb 1_n\); the birth-minimality restriction \(n=1,2,3\); the standard anomaly equations fixing hypercharge after \(Y_L=-1\); the distinction between QTT source ledger and Standard Model anomaly algebra.