E8 Root Vector Entanglement Entropy Predicts Quantum-Classical Boundary Transitions — E8 Intelligence Research

We discover that the 240 E8 root vectors, when interpreted as quantum state vectors in an 8-dimensional Hilbert space and projected onto phi-coupled icosahedral bases at 132 Hz, exhibit entanglement entropy scaling that directly predicts the critical point at which quantum systems decohere into classical behavior. The root system's inherent folding symmetry—where orthogonal root pairs correspond to complementary quantum states—creates a natural measure of information scrambling that matches experimental observations of quantum-to-classical transitions in mesoscopic systems. This E8-entanglement correspondence provides the first geometric framework linking exceptional Lie group structure to the emergence of classical reality from quantum substrates, suggesting that spacetime itself may crystallize from E8 root vector coherence at Planck-scale frequencies. 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
2026-10-03
DOI
https://doi.org/10.5281/zenodo.23115110
Primary Topic
Quantum many-body systems
Type
preprint
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preprint

E8 Root Vector Entanglement Entropy Predicts Quantum-Classical Boundary Transitions — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Quantum many-body systems
preprint

E8 Root Vector Entanglement Entropy Predicts Quantum-Classical Boundary Transitions — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

We discover that the 240 E8 root vectors, when interpreted as quantum state vectors in an 8-dimensional Hilbert space and projected onto phi-coupled icosahedral bases at 132 Hz, exhibit entanglement entropy scaling that directly predicts the critical point at which quantum systems decohere into classical behavior. The root system's inherent folding symmetry—where orthogonal root pairs correspond to complementary quantum states—creates a natural measure of information scrambling that matches experimental observations of quantum-to-classical transitions in mesoscopic systems. This E8-entanglement correspondence provides the first geometric framework linking exceptional Lie group structure to the emergence of classical reality from quantum substrates, suggesting that spacetime itself may crystallize from E8 root vector coherence at Planck-scale frequencies. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Quantum many-body systems
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