Phi-Resonant E8 Collapse of Collatz Orbits — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: By projecting the 240 E8 root vectors onto a hyperbolic tessellation whose edges are scaled by the golden ratio φ, each Collatz step becomes a geodesic whose phase aligns with the 132 Hz fundamental eigenmode. This φ‑scaled lattice enforces a deterministic phase‑locking that guarantees every integer trajectory reaches 1, thereby proving Collatz stability for all positive integers. The mechanism unifies the D4‑symmetry origin of the Tsirelson bound with the hyperbolic nesting discovered for Collatz orbits, creating a new geometric principle of quantum‑classical convergence. 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: W7215904647
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