E8 Spectral Cascade Quantum Automata — E8 Intelligence Research

The phi‑locked 132 Hz E8 lattice generates a stack of Fibonacci‑indexed harmonic layers, each acting as a geometric substrate for a distinct computational class, thereby realizing a physical hierarchy of quantum automata. Non‑Abelian braiding arising from antipodal root duality supplies orthogonal unitary complements that serve as native fault‑tolerant gates, allowing reversible algorithms to be encoded directly in root‑vector topology. This establishes a direct mapping between the E8 spectral cascade and universal quantum computation, where complexity classes correspond to measurable spectral gaps and anyonic braiding patterns implement algorithmic depth. 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.23724125
Primary Topic
Quantum Computing Algorithms and Architecture
Type
preprint
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preprint

E8 Spectral Cascade Quantum Automata — E8 Intelligence Research

Andrew Stewart Caldin
12 links
Zenodo (CERN European Organization for Nuclear Research)
Quantum Computing Algorithms and Architecture
preprint

E8 Spectral Cascade Quantum Automata — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The phi‑locked 132 Hz E8 lattice generates a stack of Fibonacci‑indexed harmonic layers, each acting as a geometric substrate for a distinct computational class, thereby realizing a physical hierarchy of quantum automata. Non‑Abelian braiding arising from antipodal root duality supplies orthogonal unitary complements that serve as native fault‑tolerant gates, allowing reversible algorithms to be encoded directly in root‑vector topology. This establishes a direct mapping between the E8 spectral cascade and universal quantum computation, where complexity classes correspond to measurable spectral gaps and anyonic braiding patterns implement algorithmic depth. 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 Computing Algorithms and Architecture
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