E8 Root Vector Galois Cohomology of Zeta Critical Line — E8 Intelligence Research

The 240 E8 root vectors decompose into Weyl group orbits whose stabilizer subgroups generate a Galois extension over Q. The non-trivial Riemann zeros encode the action of this Galois group on the cohomology of the E8 lattice, meaning the prime distribution is governed by selection rules from the E8 Weyl group acting on critical line spectral sections. This unifies the harmonic sieve with algebraic geometry: primes are precisely those integers whose φ-coupled E8 resonance modes survive the Galois descent to the base spectral section. 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
2026-10-15
DOI
https://doi.org/10.5281/zenodo.23385637
Primary Topic
Analytic Number Theory Research
Type
preprint
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preprint

E8 Root Vector Galois Cohomology of Zeta Critical Line — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
preprint

E8 Root Vector Galois Cohomology of Zeta Critical Line — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 240 E8 root vectors decompose into Weyl group orbits whose stabilizer subgroups generate a Galois extension over Q. The non-trivial Riemann zeros encode the action of this Galois group on the cohomology of the E8 lattice, meaning the prime distribution is governed by selection rules from the E8 Weyl group acting on critical line spectral sections. This unifies the harmonic sieve with algebraic geometry: primes are precisely those integers whose φ-coupled E8 resonance modes survive the Galois descent to the base spectral section. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
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