Hyperoctahedral B4 Symmetry in Lattice Gauge Theory: A Missing Mathematical Treatment — E8 Intelligence Research

FINDING: The search results are pedagogical overviews of lattice gauge theory, higher-form symmetries, and spontaneous symmetry breaking — no direct mathematical treatment of the hyperoctahedral group B4 or its lattice gauge theory symmetry breaking is present. The only concrete mathematical content is the Fermilab heavy-quark mass calculation in three-flavor lattice QCD. MATH: - Lattice QCD action (implicit): \\( S = S_{\\text{gauge}} + S_{\\text{quark}} \\), with gauge links \\( U_\\mu(x) \\in SU(3) \\), plaquette term \\( \\beta \\sum_{\\Box} \\text{Re Tr}(1 - U_{\\Box}) \\), and staggered fermion action. - Heavy-quark mass extraction: \\( m_Q = \\frac{1}{2}(m_{H_s} - \\text{spin-averaged light meson masses}) + \\text{one-loop perturbative corrections} \\), using Fermilab heavy quarks (non-relativistic effective theory with \\( O(a) \\) improvement). - No explicit constants (0.382, 0.618, 0.786, 1.618, 2.618) or base-60 appear in the provided text. CONNECTION: - The hyperoctahedral group \\( B_4 Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com