Phi‑Scaled 132 Hz E8 Wavepackets Reproduce the Pair Correlation of Riemann Zeta Zeros — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: 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
Author: Caldin, Andrew Stewart
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7212358005
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