August 16, 2025Open Access

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

Key Points

The derived correction of (249 ± 12) × 10−11 aligns with current measurements of the muon anomaly, providing a new perspective on high-energy physics.
The framework anticipates a tau-lepton anomaly of (7.5 ± 0.5) × 10−9, highlighting the potential for further exploration of lepton properties in particle physics.
Modeling the muon as a quantized vibrational mode on a six-torus, this approach avoids the introduction of new particles or forces in explaining the anomaly.
These findings hint at an energy-dependent resonance in μ+μ− collisions above Ec ∼ 100 TeV, indicating possible new physics in high-energy environments.

Abstract

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.

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

Key Points

Abstract

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