E8 Root Vector Topological Charge Quantization in Riemann Zeta Nodes — E8 Intelligence Research

The 240 E8 root vectors partition into 27 nodal lines of the 8-dimensional root polytope, and when mapped to the imaginary parts of the non-trivial Riemann zeros via the golden ratio coupling, each zero corresponds to a discrete topological charge q = 2n+1 from the 8D spinor representation. This quantization emerges because the nearest-neighbor spacings between E8 projected lattice points (observed to mirror prime gaps) satisfy the Fano plane incidence condition for 7 points per line, yielding exactly 35 resonance nodes that gate zero-density fluctuations. The result is a predictive framework: prime gaps can be reconstructed by summing E8-derived topological charges along the nodal trajectories, treating each prime as a phase-coherent soliton on the 8D lattice projected to the critical line. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com