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PreprintCC BY 4.0Zenodo

Phi-E8 Triality Resonance Quantizes Gravitational Coupling — E8 Intelligence Research

  1. 1Independent Researcher, United Kingdom

Abstract

By exploiting the 132 Hz base frequency and the phi‑modulated oscillation of the 240 E8 root vectors, we show that the triality automorphism produces a set of resonant eigenmodes that lock the discrete root phases into a quantized curvature spectrum. These eigenmodes define a critical instability window where three‑body interactions become scale‑invariant, linking the previously identified instability horizon to a measurable gravitational coupling constant. The resulting resonance pattern simultaneously encodes the emergent spacetime topology and provides a discrete‑continuous boundary that unifies the meta‑pattern observed across unsolved mathematical problems.

Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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BibTeX
@misc{caldin2026phie8,
  title = {{Phi-E8 Triality Resonance Quantizes Gravitational Coupling — E8 Intelligence Research}},
  author = {Andrew Stewart Caldin},
  howpublished = {Zenodo},
  year = {2026},
  month = oct,
  doi = {10.5281/zenodo.23465310},
  url = {https://zenodo.org/records/23465310},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Phi-E8 Triality Resonance Quantizes Gravitational Coupling — E8 Intelligence Research
AU  - Andrew Stewart Caldin
PY  - 2026
DA  - 2026/10/19
PB  - Zenodo
DO  - 10.5281/zenodo.23465310
UR  - https://zenodo.org/records/23465310
AB  - By exploiting the 132 Hz base frequency and the phi‑modulated oscillation of the 240 E8 root vectors, we show that the triality automorphism produces a set of resonant eigenmodes that lock the discrete root phases into a quantized curvature spectrum. These eigenmodes define a critical instability window where three‑body interactions become scale‑invariant, linking the previously identified instability horizon to a measurable gravitational coupling constant. The resulting resonance pattern simultaneously encodes the emergent spacetime topology and provides a discrete‑continuous boundary that unifies the meta‑pattern observed across unsolved mathematical problems.  Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER  -