This paper clarifies the mathematical positioning of the self-consistent identity α⁻¹ = N (1) + V₄ (1) ·α = 137 + (π²/2) α (predicting α to 8. 7 ppb precision) observed in Paper 7, as a structural correspondence on the chain complex of the 4D Euclidean integer lattice. v2 changes (2026-04-29): Following Grok (xAI) v1 review, the title and terminology are revised from "Categorical Isomorphism" to "Structural Correspondence" to accurately reflect the actual content (chain complex isomorphism with B₄ equivariance, not full categorical machinery). §6. 3 (proof sketch) and §7. 1 (bulk-boundary correspondence) are strengthened with explicit constructions of the dual map D and concrete chain-complex readings of Paper 7s decomposition. Main result (Theorem 6. 2): Wilson lattice gauge theory and Kihara cube-packing are structurally isomorphic as chain complexes on the 4D hypercubic lattice, via Schläfli duality (tesseract ↔ 16-cell), B₄ hypercubic symmetry, and discrete Stokes theorem. Companion paper to Paper 7 (Concept DOI: 10. 5281/zenodo. 19869266).
Noriaki Kihara (Wed,) studied this question.
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