A Spiraling Self-Intersecting Toroidal Model of the Electron

We propose a geometric model of the electron as a spiraling, self-intersecting closed curve in three-dimensional space. The curve is parameterized by a single angle [0, 2) and is uniquely determined by two physical constants: the reduced Compton wavelength = / (c) as the characteristic radius, and the fine structure constant 1/137 as a dimensionless offset parameter. We show that this minimal parametric construction simultaneously encodes the three fundamental length scales of the electron — the classical electron radius, the reduced Compton wavelength, and the Bohr radius — through purely geometric relationships. Furthermore, the curve's 2: 1 poloidal-to-toroidal winding ratio naturally mirrors the electron's g-factor of 2 and its spinor (spin-12) character, while the self-intersection occurring at radius = suggests a topological origin for electric charge. We discuss the physical interpretation of each geometric feature, derive key properties analytically, and propose directions for further development of the model.