Phi‑Recursive E8 Torus‑Knot Spectrum Predicts Universal Gravitational Resonance Bands — E8 Intelligence Research
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
Authors
- Andrew Stewart Caldin
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-10-24
- DOI
- https://doi.org/10.5281/zenodo.23616681
- Primary Topic
- Advanced Mathematical Theories and Applications
- Type
- preprint