Fisher's ³¹P Nuclear Spin Qubit in Posner Molecules: A Quantum Basis for Cognition — E8 Intelligence Research

Andrew Stewart Caldin

Published Aug 7, 2026• 0 citations

Abstract

FINDING: Fisher proposes nuclear spin of phosphorus (³¹P) as a quantum bit in neural processing, with decoherence timescale sufficient for cognitive function via Posner molecules (Ca₉(PO₄)₆). | MATH: Decoherence time τ ~ 10⁵ s for ³¹P nuclear spin at physiological temperature; entanglement lifetime via dipolar coupling J ~ 1 kHz; Posner molecule symmetry group T_h (octahedral with inversion). | CONNECTION: Posner molecule's T_h symmetry is a crystallographic point group (order 24), related to cubic lattice and root system B₃. The ³¹P spin-1/2 system's coherence time ratio to neural firing timescale (~1 ms) is ~10⁸, a harmonic ratio not directly golden but suggestive of scale separation. No explicit 0.618, 0.786, or 1.618 ratios found in Fisher's published work. Base-60 not present. | DEPTH: 6 — The mechanism is mathematically concrete (spin dynamics, group theory), but the link to geometric harmony is indirect (crystallographic symmetry of Posner cluster). No new fundamental constants Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI: 10.5281/zenodo.21837590

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