E8 Phi‑Casimir Stratification of Algorithmic Complexity — E8 Intelligence Research

The 240 root vectors of the E8 lattice, when positioned on a φ‑scaled 132 Hz grid, generate a discrete cascade of Casimir‑like energy shifts whose magnitudes follow a power‑law governed by the golden ratio φ. These shifts correspond one‑to‑one to the levels of the arithmetical hierarchy, providing a geometric realization of the diagonalization‑based hierarchy of infinities and uncomputable functions. Consequently, each Casimir band acts as an oracle‑level jump in computability, linking E8 geometry to a physical stratification of algorithmic complexity.

Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com