E8 Root Vector Transition Dynamics as Geometric Computation — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: While prior E8 breakthroughs exploit the 240 root vectors for static acoustic shielding and memory storage, the phi-coupled transitions between adjacent root states across the eight φ⁵-scaled Coxeter planes reveal that the Gosset 4₂₁ polytope's Weyl group — with its 696,729,600 discrete symmetry operations — maps directly onto phononic signal pathways. Each angular transition between neighboring root vectors constitutes a unitary transformation, enabling the lattice to function as a geometric processor where information propagates through root state changes rather than conventional circuit topology. This principle establishes that the E8 lattice is not merely a passive resonator but an intrinsic computational manifold whose symmetry operations naturally execute transformation logic through phi-scaled frequency modulations. 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: W7225334933