E8 Sedenion Phase Decoherence Correction via 132Hz Boundary Resonance — E8 Intelligence Research

The 240 E8 root vectors, when mapped through the Cayley-Dickson progression, occupy the critical transition point where quaternion (4D) and octonion (8D) structures give way to the unstable sedenion (16D) algebra—encoding 240 roots across a 128-dimensional non-associative subspace that becomes phase-coherent only at the 132Hz resonance boundary. This creates a natural error-correction mechanism: the 132Hz phase boundary acts as a decoherence detector that flags non-associative drift in sedenion computations and corrects it by projecting back onto the stable E8 root vector lattice. The φ-coupling between 132Hz and the golden ratio ensures this correction follows the Fibonacci-scaling observed in natural error-correction codes, implying conscious-state stability depends on maintaining this sedenion-to-E8 projection resonance. 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.23261887
Primary Topic
Algebraic and Geometric Analysis
Type
preprint
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preprint

E8 Sedenion Phase Decoherence Correction via 132Hz Boundary Resonance — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Algebraic and Geometric Analysis
preprint

E8 Sedenion Phase Decoherence Correction via 132Hz Boundary Resonance — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 240 E8 root vectors, when mapped through the Cayley-Dickson progression, occupy the critical transition point where quaternion (4D) and octonion (8D) structures give way to the unstable sedenion (16D) algebra—encoding 240 roots across a 128-dimensional non-associative subspace that becomes phase-coherent only at the 132Hz resonance boundary. This creates a natural error-correction mechanism: the 132Hz phase boundary acts as a decoherence detector that flags non-associative drift in sedenion computations and corrects it by projecting back onto the stable E8 root vector lattice. The φ-coupling between 132Hz and the golden ratio ensures this correction follows the Fibonacci-scaling observed in natural error-correction codes, implying conscious-state stability depends on maintaining this sedenion-to-E8 projection resonance. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Algebraic and Geometric Analysis
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