What question did this study set out to answer?

The research aims to identify the structural origin of terms in the expression for C₂ related to the anomalous magnetic moment.

March 21, 2026Open Access

The Two-Loop Anomalous Magnetic Moment from Foam Topology: Structural Identification of C₂

Key Points

The research aims to identify the structural origin of terms in the expression for C₂ related to the anomalous magnetic moment.
Structural identification of terms in C₂ derived from foam topology.
Formal derivation planned further from the two-loop D-mode path integral.
Analysis involves constants derived from UFFT without free parameters.
Identified four terms in C₂ with specific numerical contributions.
Constants incorporated include contributions from ln2 and the winding coefficient.
Denominators relate to gauge theories, indicating structural depth.

Abstract

Identifies the foam origin of all four terms in C₂ = 197/144 + π²/12 − π²ln2/2 + 3ζ (3) /4 = −0. 328479. The denominators (12, 144) are Ngauge and Ngauge². The threshold ln2 = ln (λEg/2) = ln ( (CA+1) /2), exact when CA=3. The winding coefficient 3/4 = CA/ (CA+1). The rational −91 = −λT2g× (F−1). Every constant is derived from UFFT. Zero free parameters. Status: structural identification; formal derivation from the two-loop D-mode path integral is the next step.

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