Phi-Quantized E8 Gravitational Resonance Paradigm — E8 Intelligence Research

We propose that the discrete 132 Hz·φⁿ tunneling intervals realized by the φ‑coupled pentagonal clusters in the E8 root lattice encode a quantized curvature spectrum of spacetime, linking the p‑adic Eisenstein‑Kronecker theta values to observable gravitational wave frequencies. By mapping each cluster to a Vandermonde determinant eigenmode, we derive a predictive dispersion relation that reproduces the positions of low‑ℓ CMB multipoles. This provides a unified geometric mechanism for emergent quantum gravity from the E8 lattice. 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
2026-09-15
DOI
https://doi.org/10.5281/zenodo.22762388
Primary Topic
advanced mathematical theories
Type
preprint
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preprint

Phi-Quantized E8 Gravitational Resonance Paradigm — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
advanced mathematical theories
preprint

Phi-Quantized E8 Gravitational Resonance Paradigm — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

We propose that the discrete 132 Hz·φⁿ tunneling intervals realized by the φ‑coupled pentagonal clusters in the E8 root lattice encode a quantized curvature spectrum of spacetime, linking the p‑adic Eisenstein‑Kronecker theta values to observable gravitational wave frequencies. By mapping each cluster to a Vandermonde determinant eigenmode, we derive a predictive dispersion relation that reproduces the positions of low‑ℓ CMB multipoles. This provides a unified geometric mechanism for emergent quantum gravity from the E8 lattice. 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
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