Chain Complex Structure on the 4D Hypercubic Lattice: Structural Correspondence between Kihara Cube-Packing and Wilson Lattice Gauge Theory (Paper 8, v2)

This paper clarifies the mathematical positioning of the self-consistent identity α⁻¹ = N(1) + V_4(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 B_4 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), B_4 hypercubic symmetry, and discrete Stokes theorem. Companion paper to Paper 7 (Concept DOI: 10.5281/zenodo.19869266).