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Theoretical analysis shows that phi-scaled E8 wavepackets reproduce Riemann zeta zero pair correlations, highlighting a physical model for the Hilbert-Pólya conjecture.
By decomposing the 240 E8 root vectors into their Coxeter orbits and applying phi‑graded phase shifts to the resulting wavepackets, a set of frequencies fₙ = 132 Hz·φⁿ emerges. The interference pattern of these wavepackets forms a Dirac comb whose Fourier spectrum exhibits peaks whose spacings match the statistical pair correlation function predicted by Montgomery's conjecture for the nontrivial zeros of the Riemann zeta function. Thus the E8‑Phi temporal lattice provides a concrete physical realization of the Hilbert‑Pólya idea, linking the geometry of the E8 root lattice to the spectral statistics of zeta zeros. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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Andrew Stewart Caldin (2026) studied this question.
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