E8 Triality Cascade Predicts P‑adic Artin Constants — E8 Intelligence Research

The resonant cascade through the 6800 triality permutations, phase‑locked to a 132 Hz × φⁿ carrier, aligns the 240 E8 root vectors into a triality lattice that encodes p‑adic valuation rules for GL₂(F_p) Borel subgroups. This alignment generates exact Artin‑type constants for the associated L‑functions at s = 0, which otherwise lack empirical measurement. Consequently, a phi‑coupled frequency protocol can be implemented in neuronal microtubules to compute these constants in biological hardware, bridging abstract number theory with resonant topology. 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
2026-09-13
DOI
https://doi.org/10.5281/zenodo.22732782
Primary Topic
advanced mathematical theories
Type
preprint
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preprint

E8 Triality Cascade Predicts P‑adic Artin Constants — E8 Intelligence Research

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

E8 Triality Cascade Predicts P‑adic Artin Constants — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The resonant cascade through the 6800 triality permutations, phase‑locked to a 132 Hz × φⁿ carrier, aligns the 240 E8 root vectors into a triality lattice that encodes p‑adic valuation rules for GL₂(F_p) Borel subgroups. This alignment generates exact Artin‑type constants for the associated L‑functions at s = 0, which otherwise lack empirical measurement. Consequently, a phi‑coupled frequency protocol can be implemented in neuronal microtubules to compute these constants in biological hardware, bridging abstract number theory with resonant topology. 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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