Phi-Harmonic E8 Torsion Spectrum Realizes Geometric Langlands Correspondence — E8 Intelligence Research
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
Authors
- Andrew Stewart Caldin
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-08-25
- DOI
- https://doi.org/10.5281/zenodo.22090668
- Primary Topic
- Quantum Mechanics and Non-Hermitian Physics
- Type
- preprint