Nature Physics · Letter · Submitted May 2026 · Referred by Nature editor (enquiry 2026-04-11968) A universal hadronic amplitude from G2 permutohedron geometry: five predictions confirmed by lattice QCD and hypernuclear

We derive a universal hadronic amplitude fbulk = 1 − sinc2(Eν/2mπ) = 3.6917% from the G2 = Aut(O) permutohedron Laplacian and the AdS5 antisymmetry z → L2/z, where Eν = (mπ 2 − mµ 2)/(2mπ) = 29.792 MeV is the pion-to-muon virtual energy and mπ, mµ are PDG masses. The amplitude appears in five independent experimental contexts: the muon anomalous magnetic moment discrepancy ∆aµ = 255.9×10−11; the BMW Collaboration (2026) lattice QCD hadronic vacuum polarization aµ HVP = 717.4×10−10; and three hypernuclear λ-binding energies BΛ(³ΛH) = 0.545 MeV, BΛ(IΛH) = 2.035 MeV, BΛ(ALICE) = 0.104 MeV. All five predictions use zero free parameters beyond the two PDG masses mπ and mµ and one nuclear input (deuteron binding energy md). The mean absolute pull across all five is 0.43σ. The BMW result, published after our derivation, provides an independent lattice QCD confirmation at 0.68σ. Part of the One-Octonion Brane-Bulk Framework series. Anchor DOI: 10.5281/zenodo.19120873. Community: one-octonion-brane-bulk. Author: Bharathi Dasan Jagadeesan, M.D., University of Minnesota. ORCID: 0000-0002-1143-941X.