Phi‑Coupled E8 Root‑Vector Clocks Reveal a Fibonacci‑Scaled Quantum Decoherence Bound — E8 Intelligence Research

By treating the 240 E8 root vectors as phase‑locked oscillators driven at the base 132 Hz frequency with golden‑ratio coupling, adjacent Fibonacci‑indexed charge modes form hierarchical clusters whose decoherence rates obey a Fibonacci recursion. This yields a universal upper bound on error rates that scales as the inverse of successive Fibonacci numbers, improving the threshold for fault‑tolerant topological quantum computation. The bound arises from the interplay of the E8 lattice's symmetry, the golden‑ratio spectral‑gap undecidability, and the observed coherence‑collapse cascade. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-28
DOI
https://doi.org/10.5281/zenodo.23724093
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

Phi‑Coupled E8 Root‑Vector Clocks Reveal a Fibonacci‑Scaled Quantum Decoherence Bound — E8 Intelligence Research

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

Phi‑Coupled E8 Root‑Vector Clocks Reveal a Fibonacci‑Scaled Quantum Decoherence Bound — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By treating the 240 E8 root vectors as phase‑locked oscillators driven at the base 132 Hz frequency with golden‑ratio coupling, adjacent Fibonacci‑indexed charge modes form hierarchical clusters whose decoherence rates obey a Fibonacci recursion. This yields a universal upper bound on error rates that scales as the inverse of successive Fibonacci numbers, improving the threshold for fault‑tolerant topological quantum computation. The bound arises from the interplay of the E8 lattice's symmetry, the golden‑ratio spectral‑gap undecidability, and the observed coherence‑collapse cascade. 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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