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

Quantum Electrodynamics (QED) provides highly accurate predictions of electromagnetic scattering processes and higher-order effects, including M{\o}ller scattering, the anomalous magnetic moment of the electron, and the Lamb shift. In the standard formalism these phenomena are described using perturbative expansions, virtual processes, and renormalization.

This paper develops a complementary geometric interpretation within the Geometric Monism (GM) framework, in which physical entities are modeled as continuous torsional standing-wave structures embedded in a 5-dimensional manifold governed by the Planck Stiffness \(\kT=c^4/G\). The central proposal is the \emph{Connected Wave Topology}: an electron is represented as a localized \(4\pi\) torsional core continuously coupled to an extended \(2\pi\) electromagnetic structure.

Within this interpretation, scattering is modeled as strain-field superposition and geometric recoil, the leading Schwinger correction \(a_e=\alpha/2\pi\) is interpreted as a kinematic torsional drag scale, and the Lamb shift is interpreted as a volumetric overlap and phase-space restriction effect. These results are presented as geometric interpretations and leading-order consistency checks, not as replacements for the predictive formalism of QED.