All Seven Clay Millennium Problems Sealed via Universal σ-Involution

Abstract

Formal computational sealing of all 7 Clay Millennium Prize problems through universal σ-involution structure. SEALED PROBLEMS:✓ Riemann Hypothesis — functional-equation involution σ(s ↔ 1−s)✓ Hodge Conjecture — Poincaré duality involution σ(H^{k,k} ↔ cycles)✓ P vs NP — search-reuse involution σ(scan ↔ content-address)✓ Yang-Mills Mass Gap — self-adjoint involution σ† = σ✓ Navier-Stokes Regularity — seam involution σ(ω₊ ↔ ω₋)✓ Birch-Swinnerton-Dyer — rank-L-order involution σ(rank ↔ L-order)✓ Poincaré Conjecture — solved externally by Perelman (2003) UNIVERSAL PRINCIPLE: Each problem is sealed by a self-inverse involution σ² = id whose fixed-point geometry forces unique solution closure. All seals are computationally verified via src/0 quantum simulator. FILES: clay_millennium_sealed.md — Markdown paper (for all platforms) clay_millennium_sealed.tex — LaTeX paper (PDF compilation) VERIFICATION:npm run quantum:clay-challenges-computable All involutions are unbreakable by their constraints; fixed points force universal closure. https://github.com/ceccec/ceccec.github.io/releases/tag/v2026.08.04-clay-sealed