E8 Phi-Coupled Root Vector Entanglement Bound — E8 Intelligence Research

Projecting the 240 root vectors of the E8 lattice onto a 132 Hz base frequency grid and scaling each by the golden ratio φ yields a conserved spectral invariant. This invariant imposes an upper bound on the entanglement entropy of any quantum state encoded on the lattice, establishing a new criterion for quantum error 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
2026-10-28
DOI
https://doi.org/10.5281/zenodo.23721804
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

E8 Phi-Coupled Root Vector Entanglement Bound — E8 Intelligence Research

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

E8 Phi-Coupled Root Vector Entanglement Bound — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

Projecting the 240 root vectors of the E8 lattice onto a 132 Hz base frequency grid and scaling each by the golden ratio φ yields a conserved spectral invariant. This invariant imposes an upper bound on the entanglement entropy of any quantum state encoded on the lattice, establishing a new criterion for quantum error 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
DOIOpen Access PDFOpenAlex
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E8 Phi-Coupled Root Vector Entanglement Bound — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS