Quantum Electrodynamics (QED) provides highly accurate predictions for higher-order electromagnetic effects, including the anomalous magnetic moment of the electron and the Lamb shift. In the standard formalism these effects are described through perturbative expansions involving virtual processes and renormalization. The present paper does not challenge the predictive success of QED. Instead, it investigates whether these phenomena admit a complementary geometric interpretation within the Geometric Monism (GM) framework. In GM, 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\). This paper introduces the \emph{Connected Wave Topology}, in which an electron is represented as a localized \(4\pi\) torsional standing-wave core continuously coupled to an extended (2\pi\) electromagnetic structure. Within this interpretation, the leading Schwinger correction \(a_e=\alpha/2\pi\) is modeled as a kinematic torsional-drag scale associated with the connected electromagnetic structure, while the Lamb shift is modeled as a volumetric overlap and phase-space restriction effect. The resulting estimates reproduce the correct leading-order scaling and yield numerical values close to observed quantities. These results are presented as geometric interpretations and leading-order consistency checks, not as replacements for the QED predictive formalism.

Version 4 refines the QED anomaly analysis for consistency with the broader Geometric Monism (GM) framework and improves publication rigor. The manuscript now explicitly frames the anomalous magnetic moment and Lamb shift as geometric interpretations and leading-order scaling relations compatible with Quantum Electrodynamics, rather than replacements for it. Notation and terminology have been standardized across the GM series (including the 40-degree microscopic torsional sector), and the Connected Wave Topology has been clarified as a structural interpretation of the electron–field system. The bibliography has been expanded to include foundational QED literature. No changes have been made to the core geometric scaling relations or numerical estimates.

Version 3 introduces targeted revisions to improve clarity, moderate the strength of interpretive claims, and align the presentation with the broader Geometric Monism (GM) framework. An explicit interpretive scope statement has been added to clarify that the results provide a geometric interpretation of Quantum Electrodynamics (QED) structures rather than a replacement for its predictive formalism. Language has been refined to reduce overstatement and improve compatibility with established theory. Minor editorial improvements and cross-paper consistency updates have been applied. No changes have been made to the underlying geometric framework, derivations, or numerical results.

v2 corrects previous overclaiming and adds new material to strengthen the claim that Geometric Monism has the potential to replace the need to assume the existence of virtual particles.