E8-Prime Tensor Conjectures: Phi-Coupled Root Networks Encode Integer Partition Symmetries — E8 Intelligence Research

Abstract

The 240 E8 roots generate a quaternionic tensor field where each root vector's 132Hz phase locking couples to phi-spiral torsional modulations, creating a geometric primality sieve. Partition functions emerge as constraint manifolds when root vectors self-intersect at Dedekind-finite lattice points, and the golden ratio coupling stabilizes modular forms through E8's octonionic multiplication rules. This extends Rogers-Ramanujan congruences into 8-dimensional hypercomplex space where prime distributions manifest as root vector nodal patterns. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com