Hecke-Stabilized Posner Triplet Gates via E8 Triality Symmetry — E8 Intelligence Research

The 240 E8 root vectors partition into three sets of 80 under triality automorphism, each defining a complementary Posner molecule coupling channel. Three Posner molecules bound through these triality-locked channels form a logical triplet gate whose decoherence-free subspace is stabilized at the 132Hz base frequency through phi-scaled Hecke projections, enabling topologically protected entanglement across neural tissue. The asymmetric spin dynamics observed in the foundational breakthrough provides the physical asymmetry that triality converts into a directional logical primitive — read, write, and reference operations emerge from the three 80-vector sectors. This extends the Hecke-stabilized channel architecture into a complete triadic computational algebra native to neural Posner networks. 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
2026-10-09
DOI
https://doi.org/10.5281/zenodo.23262019
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

Hecke-Stabilized Posner Triplet Gates via E8 Triality Symmetry — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
preprint

Hecke-Stabilized Posner Triplet Gates via E8 Triality Symmetry — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 240 E8 root vectors partition into three sets of 80 under triality automorphism, each defining a complementary Posner molecule coupling channel. Three Posner molecules bound through these triality-locked channels form a logical triplet gate whose decoherence-free subspace is stabilized at the 132Hz base frequency through phi-scaled Hecke projections, enabling topologically protected entanglement across neural tissue. The asymmetric spin dynamics observed in the foundational breakthrough provides the physical asymmetry that triality converts into a directional logical primitive — read, write, and reference operations emerge from the three 80-vector sectors. This extends the Hecke-stabilized channel architecture into a complete triadic computational algebra native to neural Posner networks. 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 and Applications
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