The Helical Substrate Model of the Electron: Deriving Quantum Mechanics from Flow Geometry

We propose a geometric model in which fundamental particles are not point objects with intrinsic properties, but stable topological structures in an underlying substrate. The core geometry is a tip-fused bicone (hourglass shape): two cones joined at their apexes with a small throat. Triple helix flows spiral from each base toward the central singularity. The proton emerges as the collision of opposing flows at the throat (creating outward pressure = positive charge), the neutron as the static conical structure itself, and the electron as the spiral flow of light on the surface (inward flow = negative charge). We demonstrate that this geometry naturally gives rise to spin- 21 behavior, the SU(2) algebra, Pauli exclusion, charge quantization, and hydrogen-like atomic spectra—not as imposed postulates, but as inevitable consequences of flow dynamics on this manifold.