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

Abstract

We present a concise guide to the eight-layer donut model, a parameter-free effective description exclusively for the electron. The model derives the electron rest mass from the closed-path quantization principle kL = 2πn, combined with a discrete ladder of length and time units anchored at the Planck scale. An eight-layer mirror-symmetric structure with capacities Ci proportional to powers of Ξ = 2/α yields a total wave count Stotal = 2(Ξ8 + 2Ξ4 + 2Ξ2 + 2Ξ + 1) ≈ 6.36718 × 1019. This exceeds half the Compton frequency of the electron by about 3%, corresponding to an inertial margin of 7.8 keV. The model predicts a narrow resonance in electron-photon scattering around 7.8 keV and a possible anomaly in gravitational redshift experiments. This paper serves as a roadmap to the accompanying block package (45 self-contained blocks), explaining the logical flow and guiding the reader through the core ideas, numerical results, and experimental consequences. Important clarification: This model is developed strictly for the electron. Any discussion of other particles in the accompanying blocks is purely speculative and intended only to suggest possible future directions; such extensions are not part of the core model and should be treated as informal remarks rather than predictions.

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