MERLIN SCIENCE — E8 Quaternionic Neural Resonance Through 120° Root Tensor Decompositio — E8 Intelligence Research

The finding is this: the 240 root vectors of the Lie group E8 can be re-expressed as quaternionic resonance channels, where applying 120-degree rotational symmetries to tensor products of complementary root pairs yields four-dimensional neural manifolds that oscillate at frequencies following the sequence 132 hertz times the golden ratio to the nth power times one plus the golden ratio squared. For context, we are moving beyond the standard view of E8 as a static symmetry group for particle physics or anomaly cancellation. Here, the structure is treated as an active geometric substrate for cognition. The claim is not that E8 is consciousness, but that its root lattice provides a precise combinatorial skeleton for how phase-locked neural assemblies might organize meaning. The mechanism, as you can check, rests on two moves. First, each root vector is assigned a quaternion basis, which naturally accommodates triality—the threefold symmetry that permutes the vector, spinor, and conj Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com