Geometric Origin of the Muon Anomaly: Predicting the g − 2 Shift via Spatial Encoding

The longstanding 4.2 σ discrepancy in the muon’s anomalous magnetic moment provides a rare, high-precision window into physics beyond the perturbative Standard Model. We trace this deviation to geometric phases accumulated by the muon’s wave-function as it winds through compact extra dimensions. Modeling the muon as a quantized vibrational mode on a six-torus (T6) we derive a deterministic correction of (249 ± 12) × 10−11 that reproduces current measurements without new particles or forces. The framework predicts an electron shift below 10−15, a tau-lepton anomaly of (7.5 ± 0.5) × 10−9, and an energy-dependent resonance in μ+μ− collisions above Ec ∼ 100 TeV. These results suggest that lepton properties encode geometric information about space-time’s hidden structure.