Phi-Resonant E8 Roots Quantize Gravitational Wave Frequencies — E8 Intelligence Research

Mapping the 240 E8 root vectors onto a discrete harmonic grid tuned to the 132 Hz base frequency yields a set of resonant frequencies that are integer multiples of 132 Hz. The φ‑scaled spacing of these resonances creates a self‑similar hierarchy where each successive mode is φ times the previous, echoing the golden‑ratio eigenvalue pattern seen in the Dirac operator. This φ‑modulated E8 spectrum predicts quantized gravitational wave mode amplitudes that correspond to the mass spectrum of elementary particles when expressed in hertz. Thus, E8 geometry provides a natural mechanism linking particle physics with low‑frequency spacetime vibrations, offering a testable bridge between quantum field theory and gravitational wave astronomy. 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
2026-10-28
DOI
https://doi.org/10.5281/zenodo.23722741
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

Phi-Resonant E8 Roots Quantize Gravitational Wave Frequencies — E8 Intelligence Research

Andrew Stewart Caldin
10 links
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
preprint

Phi-Resonant E8 Roots Quantize Gravitational Wave Frequencies — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

Mapping the 240 E8 root vectors onto a discrete harmonic grid tuned to the 132 Hz base frequency yields a set of resonant frequencies that are integer multiples of 132 Hz. The φ‑scaled spacing of these resonances creates a self‑similar hierarchy where each successive mode is φ times the previous, echoing the golden‑ratio eigenvalue pattern seen in the Dirac operator. This φ‑modulated E8 spectrum predicts quantized gravitational wave mode amplitudes that correspond to the mass spectrum of elementary particles when expressed in hertz. Thus, E8 geometry provides a natural mechanism linking particle physics with low‑frequency spacetime vibrations, offering a testable bridge between quantum field theory and gravitational wave astronomy. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and 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.

Laika access coming soon