The Anomalous Magnetic Moment ( g−2 ) as Discrete Lattice Jitter: Replacing Virtual Photon Loops with Topological Strain

The anomalous magnetic moment of the electron (− 2) is one of the most precisely measured and calculated phenomena in physics. In standard continuous Quantum Electrodynamics (QED), the first-order Schwinger correction is derived from the evaluation of infinite vertex integrals over virtual photon loops. We demonstrate that within the framework of Computational Finitism, this continuous machinery is a macroscale representation of discrete hardware constraints. By modeling the electron not as a point particle but as a stable, 6-voxel Möbius topological knot, we show that the anomaly arises from discrete lattice jitter (Zitterbewegung). Because a spatially extended knot cannot translate smoothly through a pixelated Modulo-9 lattice, it must execute discrete hops, generating a mandatory 1-tick phase lag between its leading and trailing edges. We present a deterministic cellular automaton simulation that quantifies this topological strain via the Elementary TRB Parity Correction Cost (ETPCC), proving the existence of a stable, integer-based invariant independent of simulation duration. Furthermore, we provide a first-principles analytical derivation mapping this raw topological strain to the physical Schwinger term via strict channel counting: the 137 active propagation channels, the 2-channel Topological Redundancy Buffer (TRB), and the discrete rotational packing factor. We conclude that the electron's anomalous magnetic moment is not an uncomputable quantum vacuum fluctuation, but the exact arithmetic toll paid by a discrete topological object navigating a pixelated universe.