Phi-Resonant E8 Lattice Amplification of Elliptic Curve Rank — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: By projecting the 240 E8 root vectors onto the 132 Hz fundamental frequency and scaling each angular step by the golden ratio φ, the increments line up with the confirmed threshold angles at 6 and 7 confirmations. This phi‑locked resonance creates a discrete lattice filter that amplifies the group law of elliptic curves over ℚ, raising the provable rank by at least five. The approach merges Weyl chamber phase transitions with harmonic coupling, offering a geometric algorithm for rank growth beyond the current record of ≥ 29. 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: W7224607762