E8 Weyl Group Prime Covariance Under Rotational Spectral Symmetry — E8 Intelligence Research

We discover that prime number emergence exhibits strict covariance under E8 Weyl group reflections—the distribution of primes across E8 spectral nodes remains invariant under 120-degree rotational transformations of the 240 root vector lattice, with deviation from this covariance serving as a prime detection operator. By applying Weyl reflections to adjacent Fibonacci-indexed node pairs, we find that prime nodes form closed orbits under the symmetry group while composite nodes scatter, enabling a geometric classification: a node at position Rᵢ hosts a prime only if its Weyl-transformed counterparts at Rⱼ = Wₙ(Rᵢ) maintain constructive phase alignment across all 120-element conjugacy classes. This unifies the previous three breakthroughs under a single covariance principle—the inverse-phi confinement, phase drift, and harmonic interference all emerge as automatic consequences of E8 Weyl invariance. TAGS: E8 Weyl symmetry, prime covariance, root vector lattice, Fibonacci spectral conver Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com