RCHM × Hodge Research Round
R14 · Replaying the Weil-fourfold bridge
Bridge-Object Search, Residual Hodge Defects, and Symmetry-Amplified Closure
Formalizes a residual Hodge defect D^p = Hdg^p / A_easy^p and symmetry-amplified bridge closure, and replays the 2026 van Geemen–Rapagnetta / Floccari–Fu route for discriminant-1 Weil fourfolds (raw bridge rank 1, the K-action amplifies it to the 2-dimensional Hodge–Weil space), verified only as a 2×2 linear-algebra model.
R14 replays existing third-party results; the paper itself says no new proof of the published hyperkähler geometry is claimed.
'Validates the third reconstruction architecture' is strong wording for a replay of third-party results plus trivial 2×2 linear algebra, hedged by 'No new proof ... is claimed'; the headline example rests on an unreviewed 2026 preprint (arXiv:2607.18341, which exists).