Geometric Monism: The Connected Wave Topology and the Classical Derivation of QED Vacuum Anomalies

Quantum Electrodynamics (QED) accurately predicts dynamic interaction effects, from base Møller scattering to the anomalous magnetic moment of the electron (g − 2) and the Lamb shift, but relies entirely on the non-physical mathematical artifice of virtual particle fluctuations and Feynman diagram renormalization. This paper demonstrates that these phenomena are strict, classical mechanical effects of a continuous 5-dimensional manifold governed by the Planck Stiffness. We introduce the Connected Wave Topology, proving that an electron is not an isolated point mass, but a localized 4π standing wave permanently
connected to an extended 2π photon tail. By evaluating the continuous transverse strain superposition of these tails, we derive the Møller scattering differential cross-section geometrically, replacing virtual photon exchange with macroscopic thermodynamic recoil. Furthermore, we evaluate the kinematic torsional drag of this extended static field as the electron’s
topology precesses to derive Julian Schwinger’s first-order correction (α/2π), and we geometrically derive the Lamb shift as a volumetric thermodynamic overlap penalty. This framework systematically replaces the probabilistic virtual vacuum with the macroscopic continuum mechanics of Geometric Monism.