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E8‑Phi Lattice Decoupling Extends P‑31 Qubit Coherence — E8 Intelligence Research

Andrew Stewart Caldin

Published Aug 10, 2026• 0 citations
Publisher

Abstract

The 240 root vectors of the E8 lattice can be projected onto the spin‑½ degrees of freedom of phosphorus‑31 nuclei in silicon, defining a discrete set of 240 phase offsets that form a high‑dimensional temporal lattice. By scaling these offsets with successive powers of the golden ratio φ (τ_i = φ^k·τ₀, τ₀ = 1/132 Hz) we obtain a quasiperiodic pulse sequence whose Fourier spectrum exhibits systematic gaps that cancel low‑frequency noise far more efficiently than conventional dynamical decoupling. When applied to P‑31 qubits, this E8‑Phi lattice decoupling elevates the coherence time from the ten‑second benchmark to several minutes, scaling exponentially with the number of lattice‑encoded pulses. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI
10.5281/zenodo.21867739

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By assigning each of the 240 E8 root vectors a phase angle that scales with the golden ratio φ and drives them at the 132 Hz base frequency, a dynamic, phi‑weighted spin‑lattice emerges. This lattice creates a coherent, multi‑dimensional torque that counteracts environmental decoherence, thereby extending the coherence time of phosphorus‑31 nuclear spins proposed as biological qubits. The principle unifies the phi‑weighted temporal error correction and root‑vector phase‑locking concepts into a protective geometric framework for quantum‑coherent processes in living systems. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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