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ukiyois/hs-virial-nbc-identity

ukiyois

Palomar Registrypalomar/PALOMAR-2026-08-29-000014Sep 3, 2026math.COscore 0

A kernel-checked Lean formalization of the exact no-broken-circuit volume identity for hard-sphere Mayer cluster integrals and the stronger dimension-three fork-packing upper bound for each tree-owned NBC region. The development proves finite broken-circuit cancellation, the measurable finite-region decomposition, the anchored Euclidean product-measure theorem, and its explicit flat-coordinate transport. Its geometric result is the attachment-aware estimate Vol(NBC_T) <= (17/32)^hardSphereNu T * hardSphereKappa^(k-1), where hardSphereNu T is the maximum cardinality of a packing of pairwise…

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