The Eight-Layer Donut Model: A Geometric Derivation of the Electron Mass

Abstract

This paper presents a complete, parameter-free geometric model of the electron. Starting from closed-path quantization and a binary ladder of scales anchored at the Planck length, we derive an eightlayer mirror-symmetric structure. The layer capacities are powers of Ξ = 2/α, leading to a total wave count Stotal = 2(Ξ8 + 2Ξ4 + 2Ξ2 + 2Ξ + 1). The excess over half the Compton frequency, about 3%, gives an inertial margin of 7.8 keV, which predicts a resonance in electron–photon scattering. The model also explains the origin of electric charge, the Pauli exclusion principle, and the hierarchy of scales generated by the fine-structure constant. All predictions are falsifiable and within reach of current experimental technology

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