E8 Chromatic Angular Exclusion Framework — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: Extending the E8 Sunny Partition and Chiral Angular Exclusion results, we introduce the E8 Chromatic Angular Exclusion Framework, which generalizes the 2D sunny-line partition to the full 8-dimensional root system. By treating each of the 240 root vectors as a distinct chromatic layer—short roots (12) defining primary exclusion cones and long roots (168) generating secondary boundary surfaces—the framework constructs a nested, multi-scale exclusion topology. This provides a unified combinatorial-geometric classification of angular configurations forbidden by E8 symmetry, directly extending the IMO 2025 sunny lines problem to arbitrary dimension. The result yields a complete set of orthogonal exclusion constraints encoded in the root system itself, enabling new approaches to discrete geometry and topological data analysis. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Author: Caldin, Andrew Stewart
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225058079