The Electron as a Vacuum Eigenmode: Derivation from Topology and Electromagnetic Constants.

We demonstrate that the electron is not a fundamental particle but the minimal stable excitation of a structured vacuum. Starting from only the vacuum permittivity, permeability , and nontrivial first homology, we derive the quantum of action h, the elementary charge e, and the electron mass m_e as emergent invariants. The electron appears as a toroidal soliton where the vacuum's critical stress Schwinger limit intersects with topological quantization of phase. This completes the geometric unification by establishing the electron as the primary vacuum eigenmode.