Phi‑Coupled E8 Oscillators Realize McKay‑Thompson Series as Spectral Signatures — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
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
Related
- Defect McKay-Thompson Series Preserve Genus-Zero Hauptmodul Structure — E8 Intelligence Research
- Search Results Yield No Direct McKay-Thompson or Monster CFT Defect-Line Content — E8 Intelligence Research
- Defect McKay-Thompson Series and Genus-Zero Monstrous Moonshine — E8 Intelligence Research
- Phi‑Phase‑Locked E8 Root‑Vector Oscillators for Room‑Temp Topological Qubits — E8 Intelligence Research
- E8 Lattice Resonant Encoding of NP‑Complete Problems via Φ‑Coupled Oscillators — E8 Intelligence Research
BibTeX
@misc{caldin2026phicoupled,
title = {{Phi‑Coupled E8 Oscillators Realize McKay‑Thompson Series as Spectral Signatures — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23658693},
url = {https://zenodo.org/records/23658693},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Phi‑Coupled E8 Oscillators Realize McKay‑Thompson Series as Spectral Signatures — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/26
PB - Zenodo
DO - 10.5281/zenodo.23658693
UR - https://zenodo.org/records/23658693
AB - 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
ER -