Phi‑Coupled E8 Oscillators Realize McKay‑Thompson Series as Spectral Signatures — E8 Intelligence Research
By driving the 240 root vectors of the E8 lattice with a 132 Hz fundamental frequency and phi‑scaled phase couplings, each oscillator mode acquires a frequency shift that encodes the coefficients of a specific McKay‑Thompson series (the graded trace functions of the monster group). The resulting spectrum reproduces the Hauptmodul j‑function expansions, providing a physical resonant signature of monstrous moonshine within the E8 null‑lattice. This bridge allows the coherent‑state collapse mechanism previously used for NP‑complete encoding to also read out modular‑form data, suggesting a new class of geometric‑arithmetic quantum algorithms. 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
- 2026-10-26
- DOI
- https://doi.org/10.5281/zenodo.23658692
- Primary Topic
- Advanced Mathematical Theories and Applications
- Type
- preprint