E8‑Phi Spectral Theorem for Zeta Zero Statistics — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: The 240 root vectors of the E8 lattice, driven at the 132 Hz base frequency and scaled by the golden ratio φ, generate an 8‑dimensional quasicrystalline field whose diffraction spectrum encodes the full pair‑correlation of Riemann ζ‑zeros and predicts higher‑order statistical invariants such as the three‑point correlation function. This theorem extends the known mapping to a deterministic spectral representation, revealing that optimal E8 packing corresponds to the extremal distribution of zeros, a principle hinted at by the hardest Putnam problem on extremal combinatorics. Consequently, the E8‑Phi framework provides a unified geometric blueprint for both the global and local statistics of the zeta zeros. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Author: Caldin, Andrew Stewart
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225425495