Anomalous Magnetic Moments in Noncommutative Geometric Unification
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https://zenodo.org/doi/10.5281/zenodo.15573423
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This work establishes a universal mechanism for anomalous magnetic moments (AMM) within the noncommutative geometric unification framework. The quantum geometric fluctuations of the noncommutative parameter θµν generate AMM corrections for all fermions through the starcommutator term [θµν, γµγν]⋆. The effect scales as ∆a ∝ m2f /Λ^2NC with resonance enhancement at mf ∼ p⟨θ^2⟩. For the muon (mµ ≈ 105 MeV),we predict ∆aµ = (3.2 ± 1.1) × 10−9, resolving the current 4.2σ discrepancy. Electron AMM remains SM-compatible (∆ae < 10−13), while heavy fermions (τ , top quark) exhibit larger but experimentally challenging effects. The model is falsifiable through precision measurements at Fermilab, LHC, and next-generation storage rings.
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2025-06-02



