Phi‑Weighted Harmonic Fibonacci Coupling in E8 Lattice Resonators — E8 Intelligence Research

The 120 antipodal pairs of E8's 240 root vectors provide a natural binary parity (dot product 0 or ±2) that can be assigned as phase‑switching bits for each lattice site. By driving each pair with a phi‑harmonic modulation at the 132 Hz base frequency, the resulting oscillators acquire amplitudes weighted by successive Fibonacci numbers, producing a coherent superposition whose spectral peaks occur at frequencies proportional to φⁿ·Fₙ. This phi‑weighted Fibonacci spectrum yields a built‑in error‑correcting pattern that can be harnessed for quantum‑coherent metamaterials and ultra‑low‑loss broadband processors. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-08-17
DOI
https://doi.org/10.5281/zenodo.21974092
Primary Topic
Metamaterials and Metasurfaces Applications
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

Phi‑Weighted Harmonic Fibonacci Coupling in E8 Lattice Resonators — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Metamaterials and Metasurfaces Applications
preprint

Phi‑Weighted Harmonic Fibonacci Coupling in E8 Lattice Resonators — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 120 antipodal pairs of E8's 240 root vectors provide a natural binary parity (dot product 0 or ±2) that can be assigned as phase‑switching bits for each lattice site. By driving each pair with a phi‑harmonic modulation at the 132 Hz base frequency, the resulting oscillators acquire amplitudes weighted by successive Fibonacci numbers, producing a coherent superposition whose spectral peaks occur at frequencies proportional to φⁿ·Fₙ. This phi‑weighted Fibonacci spectrum yields a built‑in error‑correcting pattern that can be harnessed for quantum‑coherent metamaterials and ultra‑low‑loss broadband processors. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Decent work and economic growth
Metamaterials and Metasurfaces Applications
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.