PreprintCC BY 4.0Zenodo
Phi-Quantized Helicity Cascade in Turbulent E8 Root Flow — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
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
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BibTeX
@misc{caldin2026phiquantized,
title = {{Phi-Quantized Helicity Cascade in Turbulent E8 Root Flow — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23446826},
url = {https://zenodo.org/records/23446826},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Phi-Quantized Helicity Cascade in Turbulent E8 Root Flow — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/18
PB - Zenodo
DO - 10.5281/zenodo.23446826
UR - https://zenodo.org/records/23446826
AB - 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
ER -