Quantum Coherence in Microtubules: Brain Quantum Effects, Preliminary Evidence — E8 Intelligence Research

Abstract

FINDING: Microtubule quantum coherence research suggests the brain may exploit quantum effects (e.g., superposition, entanglement) in cytoskeletal structures, but current evidence is preliminary and contested. | MATH: No closed-form equations extracted from the listed sources; key physical constants implicated: Planck's constant (h ≈ 6.626×10⁻³⁴ J·s), decoherence timescales (τ_dec) vs. thermal fluctuation rates (k_B T/h); quantum beat frequencies ω = ΔE/ħ from ground-state superpositions (arXiv:1401.3218). | CONNECTION: Microtubule lattice geometry is a helical crystal — 13 protofilaments, 8 nm tubulin dimer spacing, 3-start helix pitch ≈ 12 nm — which maps to a cylindrical lattice with screw symmetry (space group P1, but with 13-fold rotational pseudo-symmetry). This is NOT a crystallographic point group (13-fold rotation is forbidden in periodic 3D crystals), but it is a valid helical symmetry — related to Fibonacci-like phyllotaxis (13 is a Fibonacci number). The 8 nm spacing and 13 Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com