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Quantum Brain Theory: Posner Molecules and Nuclear Spin Entanglement — E8 Intelligence Research

Year: 2026
Type: preprint
Abstract: FINDING: Quantum effects in the brain are proposed via Posner molecules (Ca₉(PO₄)₆) with nuclear spin entanglement, but the evidence is largely theoretical (Matthew Fisher) and not yet experimentally confirmed; the Bayesian paper is unrelated to quantum brain claims. | MATH: Posner molecule: 9 Ca²⁺ + 6 PO₄³⁻ → Ca₉(PO₄)₆; nuclear spins of ³¹P (I=1/2) — 6 phosphorus nuclei per molecule; proposed entanglement lifetime ~10⁵ s (days) at physiological temperature; Fisher's model uses nuclear spin qubits with hyperfine coupling to ¹³C or ³¹P; key constant: decoherence rate γ ∝ (kT/ħ)²·τ_c (where τ_c is correlation time); no closed-form equation given in these sources. | CONNECTION: Posner molecule geometry: Ca₉(PO₄)₆ forms a cluster with approximate octahedral symmetry (O_h point group) — 6 PO₄ tetrahedra arranged around a central Ca₃ triangle; this is a crystallographic symmetry (cubic, space group related to apatite). The 6 phosphorus nuclei sit at vertices of an octahedron — a root system Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Language: English
Open Access status: green
OpenAlex ID: W7221454203
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