A Geometric Symmetry Model of the Electron’s Anomalous g-Factor

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Abstract

We present a nonperturbative geometric symmetry model for the electron’s anomalous magnetic moment. The electron is represented as an extended charge–spin density whose intrinsic rotation interacts recursively with the surrounding geometry through a symmetric real-space kernel. This recursive convolution expansion reproduces the standard quantum electrodynamic (QED) correction series for the g-factor without invoking virtual fields or renormalization. Using a Gaussian twist density and a dimensionless coupling kernel constrained by spatial symmetry, the model yields g = 2.0023231, matching experiment within 1.9 ppm. The optimal configuration occurs at a normalized spatial width σ/r0=1- e-1, suggesting a universal geometric saturation scale for spin–magnetic coupling. The framework offers a symmetry-based interpretation of QED corrections as emergent from real-space geometric feedback.

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