The Ledger Geometry of Magnetic Moments: A Quantized Dimensional Ledger Derivation of the Electron and Muon g-2 Factors

The anomalous magnetic moments of the electron and muon are among the mostprecisely measured quantities in physics. Their Standard Model description requiresextremely high-order quantum electrodynamics (QED) calculations. The electron gfactorhas now been computed through the α5 term, requiring 12,672 Feynman diagramsspanning QED, electroweak, and hadronic loop contributions. In this paper,we present a geometric–oscillatory derivation based on the Quantized DimensionalLedger (QDL), a framework in which all physical quantities reduce to Length (L) andFrequency (F). Within QDL, the anomalous g-factor arises not from a perturbativeexpansion but from a torsion–curvature resonance inside the 3L+2F dimensional volume,referred to as the Quantized Dimensional Cell (QDC). The anomaly is expressedas a ratio of a small torsional frequency shift to a canonical intrinsic frequency, eliminatingthe need for multi-loop expansions. Using the ledger formulation, we retrodictthe electron and muon anomalous magnetic moments at the level of previously documented QDL residuals: approximately 0.5σ for the electron and 0.15σ for the muon, consistent with CODATA 2022 and the 2025 Fermilab muon measurement. This result suggests that a purely geometric account of magnetic moments is possible as an exploratory, complementary description alongside standard quantum field theoretictreatments, rather than a replacement for them.