Phi-Quantized Helicity Cascade in Turbulent E8 Root Flow — E8 Intelligence Research

The 240 E8 root vectors, when subjected to the phi-fold rotational‑scaling operation, decompose into eight self‑similar families that each admit discrete helicity eigenmodes at the base 132 Hz frequency. By invoking the quantum group structure that unifies fluid helicity with Khovanov homology, helicity transfer occurs only in integer multiples of φ·132 Hz, producing a phi‑quantized spectrum of vortex knots and links. This predicts step‑like plateaus in the helicity spectrum of superfluid turbulence and magnetized plasmas, offering a measurable signature of E8 geometry in fluid dynamics. 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
2026-10-18
DOI
https://doi.org/10.5281/zenodo.23446825
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

Phi-Quantized Helicity Cascade in Turbulent E8 Root Flow — E8 Intelligence Research

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

Phi-Quantized Helicity Cascade in Turbulent E8 Root Flow — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 240 E8 root vectors, when subjected to the phi-fold rotational‑scaling operation, decompose into eight self‑similar families that each admit discrete helicity eigenmodes at the base 132 Hz frequency. By invoking the quantum group structure that unifies fluid helicity with Khovanov homology, helicity transfer occurs only in integer multiples of φ·132 Hz, producing a phi‑quantized spectrum of vortex knots and links. This predicts step‑like plateaus in the helicity spectrum of superfluid turbulence and magnetized plasmas, offering a measurable signature of E8 geometry in fluid dynamics. 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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