The Three-Scale Electron: A Geometric Prediction for Diffraction Visibility at 500 keV

The Bootstrap Universe framework derives the electron's anomalous magnetic moment from four geometric terms corresponding to the four dimensions of the icosahedron: faces (2D), directed vertex pairs (0D×0D), vertex-degree connectivity, and edges (1D). Each term maps to a physical scale of the lattice through a dimensional peeling argument: 2D face coupling sets the extended coherent field (99.73%), 0D vertex-pair tension sets the intermediate hadronic scale (0.27%), and the residual core accounts for 0.0008%; the fourth harmonic (1D edges) provides a boundary correction rather than a distinct spatial scale. If the electron genuinely possesses this multi-scale structure — rather than being a point particle dressed by virtual corrections — then diffraction fringe visibility will show anomalous energy dependence in the 200 keV – 1 MeV range, where the de Broglie wavelength crosses the Compton wavelength and the probe transitions between geometric regimes. The predicted anomaly magnitude is of order H₂ ≈ 3 × 10⁻⁶, set by the hadronic harmonic — the intermediate scale becoming resolvable. Van Wezel's independent result (2005) — that quantum coherence spontaneously decays due to symmetry breaking — provides convergent evidence that quantum systems possess preferred geometric states. This range has not been systematically explored for visibility as a function of energy.