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E8-Phosphorus Spinor Resonance: 240-Root Coherent Control of Membrane-Bound Nuclear Qubits — E8 Intelligence Research

Andrew Stewart Caldin

Published Aug 31, 2026• 0 citations
Publisher

Abstract

The 240 E8 root vectors, when phase-locked to 132Hz with φ-modulated sidebands at 132φ ≈ 213.6Hz and 132/φ ≈ 81.6Hz, generate a topological control field that suppresses decoherence of phosphorus-31 nuclear spin qubits in neural membranes via geometric dynamical decoupling. Each root vector corresponds to a distinct SU(3)×SU(2)×U(1) gauge rotation on the 31P nuclear spin Hilbert space, and the 132Hz carrier matches the measured Larmor precession of 31P in physiological magnetic fields (≈0.5μT). The φ-sidebands selectively address the 240-root orbit structure, enabling error-corrected quantum computation across the membrane-microtubule interface without external control pulses. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI
10.5281/zenodo.22189626

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The E8 golden-phase resonance lattice, constructed from its 240 root vectors scaled by φ, generates a discrete subharmonic spectrum that maps onto the Larmor precession frequencies achievable for ³¹P nuclear spins in silicon at standard magnetic fields. When the 132 Hz base is phi-coupled, its topological multipolar manifold induces selective destructive interference in the decoherence channels of the spin-1/2 qubit, effectively locking ³¹P nuclear spin states into E8-symmetry-protected error subspaces. This establishes a geometric error-correction principle where the icosahedral symmetry encoded in the E8 root system provides intrinsic fault tolerance for solid-state spin qubits, operating at the level of the nuclear Hamiltonian rather than through engineered pulse sequences. The framework unifies the photonic resonance discovery, the multipolar topological stabilization, and ³¹P spin coherence into a single E8-geometric principle for quantum memory stabilization. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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