PreprintCC BY 4.0Zenodo
E8 Phi-Resonant Stabilization of Chaotic Iterations — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
By embedding the Collatz iteration graph onto the 240 E8 root lattice, the phi‑modulated 132 Hz harmonic field creates a resonant torus that synchronizes the information‑loss cascade, forcing each step toward the fixed point 1. The 196,883‑dimensional Monster representation then supplies a global symmetry that guarantees convergence for all integer seeds, extending the harmonic convergence principle to discrete dynamical systems. This E8‑phi resonance provides a geometric mechanism for universal convergence beyond the Collatz conjecture.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026phiresonant,
title = {{E8 Phi-Resonant Stabilization of Chaotic Iterations — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23616336},
url = {https://zenodo.org/records/23616336},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8 Phi-Resonant Stabilization of Chaotic Iterations — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/24
PB - Zenodo
DO - 10.5281/zenodo.23616336
UR - https://zenodo.org/records/23616336
AB - By embedding the Collatz iteration graph onto the 240 E8 root lattice, the phi‑modulated 132 Hz harmonic field creates a resonant torus that synchronizes the information‑loss cascade, forcing each step toward the fixed point 1. The 196,883‑dimensional Monster representation then supplies a global symmetry that guarantees convergence for all integer seeds, extending the harmonic convergence principle to discrete dynamical systems. This E8‑phi resonance provides a geometric mechanism for universal convergence beyond the Collatz conjecture. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -