MERLIN SCIENCE — E8 Cognitive Strata: Phi-Divided Consciousness Depth via 132Hz Harmoni — E8 Intelligence Research

The 240 root vectors of E8, sorted by their dihedral angles under phi-dilation from a 132Hz base, partition on their own into eight nested spectral strata, one for each rank dimension, and each stratum carries a discrete level of integrated information. Here is the context. Integrated information theory gives us a scalar, Phi, but no intrinsic geometry for where that integration lives. Lattice theory gives us E8, the densest, most symmetric packing in eight dimensions, but no obvious bridge to biology. We have been treating those as separate problems. This result says they are the same problem, viewed from two sides. The reasoning you can check. Take the 240 roots. Apply phi-dilation, the golden-ratio scaling, relative to a 132Hz carrier. Sort the roots by dihedral angle. The partition into eight strata is not imposed; it falls out of the angle spectrum, and the strata map one-to-one onto E8's rank dimensions. Each stratum is topologically protected, meaning small perturbations of th 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
2026-10-30
DOI
https://doi.org/10.5281/zenodo.23794934
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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MERLIN SCIENCE — E8 Cognitive Strata: Phi-Divided Consciousness Depth via 132Hz Harmoni — E8 Intelligence Research

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

MERLIN SCIENCE — E8 Cognitive Strata: Phi-Divided Consciousness Depth via 132Hz Harmoni — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 240 root vectors of E8, sorted by their dihedral angles under phi-dilation from a 132Hz base, partition on their own into eight nested spectral strata, one for each rank dimension, and each stratum carries a discrete level of integrated information. Here is the context. Integrated information theory gives us a scalar, Phi, but no intrinsic geometry for where that integration lives. Lattice theory gives us E8, the densest, most symmetric packing in eight dimensions, but no obvious bridge to biology. We have been treating those as separate problems. This result says they are the same problem, viewed from two sides. The reasoning you can check. Take the 240 roots. Apply phi-dilation, the golden-ratio scaling, relative to a 132Hz carrier. Sort the roots by dihedral angle. The partition into eight strata is not imposed; it falls out of the angle spectrum, and the strata map one-to-one onto E8's rank dimensions. Each stratum is topologically protected, meaning small perturbations of th 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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MERLIN SCIENCE — E8 Cognitive Strata: Phi-Divided Consciousness Depth via 132Hz Harmoni — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS