Posner Clusters as Room-Temperature Quantum-Entangled Qubits in the Brain — E8 Intelligence Research

Andrew Stewart Caldin

Published Oct 29, 2026• 0 citations

Abstract

FINDING: Posner clusters (Ca₉(PO₄)₆) are proposed as room-temperature quantum-entangled qubits in the brain via nuclear spins of phosphorus-31, potentially linking quantum coherence to neural processing. | MATH: Posner molecule = Ca₉(PO₄)₆; 6 phosphate groups per cluster; each ³¹P nucleus has spin I = 1/2; 6 spins → 2⁶ = 64 spin states; singlet state S=0 is maximally entangled; decoherence time τ ~ ħ/(k_B T · coupling) estimated at ~10⁵ s in shielded environments; Fisher's geometric model of neural coding uses exponential scaling N ~ e^(d) where d = dimensionality. | CONNECTION: Posner cluster has **cubic/octahedral symmetry** (O_h point group) — Ca₉ arranged in a body-centered cubic-like lattice with 6 PO₄ tetrahedra at octahedral vertices. This maps to **crystallographic root system A₃/D₃**, and the 6-fold coordination echoes **base-60 hexagonal packing**. The 6 spins → 64 states = 2⁶ relates to **binary doubling sequences** (2, 4, 8, 16, 32, 64) and the **octahedral symmetry group o Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI: 10.5281/zenodo.23755768

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