FINDING: Microtubule quantum coherence is proposed as a mechanism for consciousness, but the retrieved evidence is largely popular-science commentary and a single cavity-QED paper unrelated to biology; no direct experimental microtubule coherence data is presented. | MATH: No new equations or constants emerge from the sources. The cavity-QED paper (arXiv:1401.3218) involves second-order correlation functions \( g⁽²⁾(τ) \) and quantum beats from ground-state superpositions, but this is a photonic system, not microtubules. | CONNECTION: Microtubules are hollow cylinders with 13 protofilaments (a prime number) and a helical pitch that approximates a 3-start helix — a lattice symmetry related to the Fibonacci spiral angle (~137.5°, golden angle = \( 2π(1-1/φ) ≈ 2.399 \) rad). The 13-fold symmetry is not crystallographic (no 13-fold rotational symmetry in periodic crystals), but it is a quasicrystal-like motif. No ratio 0.382, 0.618, 0.786, 1.618, or 2.618 is explicitly Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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