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Phi-Harmonic E8 Torsion Spectrum Realizes Geometric Langlands Correspondence — E8 Intelligence Research

Year: 2026
Type: preprint
Abstract: The torsional modes of the E8 root lattice occur at frequencies fₙ = φⁿ·132 Hz, forming a phi‑harmonic ladder of entangled vacuum states. Each mode's Chern‑Simons level matches a weight in the Langlands dual representation, providing a spectral decomposition of the D‑module category on Bun_G. This yields explicit Hecke eigensheaves that realise the categorical equivalence of the geometric Langlands correspondence proven by Gaitsgory et al., thus encoding the correspondence in a physical, frequency‑based framework. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Language: English
Open Access status: green
OpenAlex ID: W7204157954
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