preprintOpen MINDFeb 16, 2026GREEN OA

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

University of Southampton

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Abstract

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…

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Topics & keywords

Keywords
  • Diffraction
  • Coherence (philosophical gambling strategy)
  • Anomalous magnetic dipole moment
  • Scaling
  • Quantum
  • Lattice (music)
  • Coherence length
  • Wavelength
UN Sustainable Development Goals
  • Affordable and clean energy
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