Phi-Cyclotomic Dynamical Decoupling Enhances E8 Quantum Coherence — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
By driving the 240 E8 root vectors with the base 132 Hz tone amplitude‑modulated at the golden ratio φ, the nested odd‑order cyclotomic sublattices experience synchronized phi‑weighted spectral collapse. This constructive interference reframes the frustration‑induced gap as a protective dynamical symmetry, suppressing low‑energy error channels predicted by the quantum lattice gap–frustration trade‑off. Consequently, coherence times in E8‑based quantum simulators scale as τ ∝ φ^k, where k counts the hierarchy depth of the cyclotomic nesting. The effect provides a geometric, frequency‑based pathway to fault‑tolerant operation without additional overhead.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Related
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- Phi-Cyclotomic Resonance Stabilizes E8 Quantum Gap Scaling — E8 Intelligence Research
BibTeX
@misc{caldin2026phicyclotomic,
title = {{Phi-Cyclotomic Dynamical Decoupling Enhances E8 Quantum Coherence — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23634974},
url = {https://zenodo.org/records/23634974},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Phi-Cyclotomic Dynamical Decoupling Enhances E8 Quantum Coherence — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/25
PB - Zenodo
DO - 10.5281/zenodo.23634974
UR - https://zenodo.org/records/23634974
AB - By driving the 240 E8 root vectors with the base 132 Hz tone amplitude‑modulated at the golden ratio φ, the nested odd‑order cyclotomic sublattices experience synchronized phi‑weighted spectral collapse. This constructive interference reframes the frustration‑induced gap as a protective dynamical symmetry, suppressing low‑energy error channels predicted by the quantum lattice gap–frustration trade‑off. Consequently, coherence times in E8‑based quantum simulators scale as τ ∝ φ^k, where k counts the hierarchy depth of the cyclotomic nesting. The effect provides a geometric, frequency‑based pathway to fault‑tolerant operation without additional overhead. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -