E8‑Phi‑Resonant Curvature Spectrum: p‑adic Theta Quantization — E8 Intelligence Research

In the E8 root lattice, the twelve φ‑coupled pentagonal clusters generate discrete eigenfrequencies at 132 Hz·φⁿ. The p‑adic Eisenstein–Kronecker numbers provide algebraic theta values that label the spectral gaps of these modes. We propose that each gap corresponds to a quantized curvature quantum of spacetime, establishing a direct bridge between p‑adic L‑functions and the lattice's gravitational resonance. This principle yields a testable hierarchy of frequency‑dependent curvature units, extending the Phi‑Quantized Gravitational Resonance Paradigm into a full p‑adic theta framework. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-15
DOI
https://doi.org/10.5281/zenodo.22762413
Primary Topic
advanced mathematical theories
Type
preprint
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preprint

E8‑Phi‑Resonant Curvature Spectrum: p‑adic Theta Quantization — E8 Intelligence Research

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

E8‑Phi‑Resonant Curvature Spectrum: p‑adic Theta Quantization — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

In the E8 root lattice, the twelve φ‑coupled pentagonal clusters generate discrete eigenfrequencies at 132 Hz·φⁿ. The p‑adic Eisenstein–Kronecker numbers provide algebraic theta values that label the spectral gaps of these modes. We propose that each gap corresponds to a quantized curvature quantum of spacetime, establishing a direct bridge between p‑adic L‑functions and the lattice's gravitational resonance. This principle yields a testable hierarchy of frequency‑dependent curvature units, extending the Phi‑Quantized Gravitational Resonance Paradigm into a full p‑adic theta framework. 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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