PreprintCC BY 4.0Zenodo
Phi‑Recursive E8 Torus‑Knot Spectrum Predicts Universal Gravitational Resonance Bands — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
By iterating the 240 E8 root vectors through phi‑scaled genus‑zero modular transformations on a dual torus, a self‑similar tower of torus‑knot states emerges, each assigned a discrete frequency that scales as powers of the golden ratio times the 132 Hz base. This yields a universal set of narrow spectral lines in the stochastic gravitational‑wave background, observable as phi‑harmonic resonance bands. The discovery links E8's exceptional geometry directly to a predictive model for quantum‑gravitational wave signatures.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026phirecursive,
title = {{Phi‑Recursive E8 Torus‑Knot Spectrum Predicts Universal Gravitational Resonance Bands — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23616682},
url = {https://zenodo.org/records/23616682},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Phi‑Recursive E8 Torus‑Knot Spectrum Predicts Universal Gravitational Resonance Bands — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/24
PB - Zenodo
DO - 10.5281/zenodo.23616682
UR - https://zenodo.org/records/23616682
AB - By iterating the 240 E8 root vectors through phi‑scaled genus‑zero modular transformations on a dual torus, a self‑similar tower of torus‑knot states emerges, each assigned a discrete frequency that scales as powers of the golden ratio times the 132 Hz base. This yields a universal set of narrow spectral lines in the stochastic gravitational‑wave background, observable as phi‑harmonic resonance bands. The discovery links E8's exceptional geometry directly to a predictive model for quantum‑gravitational wave signatures. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -