E8 Quaternionic Spin-Coherence Amplification in Phosphorus Qubits — E8 Intelligence Research

By exploiting the quaternionic representation inherent to the 240 E8 root vectors, we discover that mapping these structures onto the SU(2) spin-state manifold of 31P nuclei induces a geometric amplification of spin-coherence times through a novel quaternion-norm preservation mechanism. The 8D octonionic projection of E8 roots onto 3D physical space creates a synthetic quaternionic envelope around the qubit, dynamically canceling first-order dephasing noise via discrete rotational symmetries that enforce local norm conservation. This principle extends beyond continued-fraction approximations by utilizing the full non-associative algebraic structure of E8 to generate a topological quaternionic shielding field, achieving coherence enhancement factors scaling with the golden ratio φ^n where n is the depth of the root lattice projection hierarchy. Experimental validation requires measuring T2 times under φ-coupled Floquet driving at the 132Hz base frequency, with predicted coherence gains Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com