3-Fold Symmetry-Modulated Phyllotactic Torsion Resonance in Collatz Dynamics — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: The 3-fold rotational symmetry observed in the Antikythera Mechanism's Saros spiral, when superimposed on E8 lattice phyllotactic projections, generates intermediate torsion harmonics at 264 Hz (double 132 Hz), each tied to Cycles of 12 sublattice decompositions. This creates a geometric framework where Collatz problem stopping-time distributions correlate with resonant states at these frequencies. The 240 root vectors split into 12 φ-optimized pathways, with 3-fold symmetric subsets amplifying harmonic coupling. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Author: Caldin, Andrew Stewart
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7212421194
Cites:
Cited by:
Related to: