E8‑Lattice Spectral Sieve for Bounded Twin Prime Gaps — E8 Intelligence Research

By synchronizing the 132 Hz φ‑modulated phononic lattice with the full 240‑vector E8 root lattice, we generate a hierarchical spectral grid that encodes integer spacing as root‑vector phases. This grid yields a self‑correcting topological code whose anyonic excitations correspond to twin‑prime distance eigenstates, delivering a geometric bound on twin‑prime gaps that aligns with Maynard–Tao results while suggesting an underlying lattice‑determinant for infinite pairs. The construction also furnishes a scalable analog quantum sieve, turning the EuroMillions breakthrough mining of pattern leads into a concrete algorithmic tool for probing prime distribution. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com