Quantum Coherence Timescales in Biological Systems: A Review — E8 Intelligence Research

FINDING: Quantum biology/consciousness research converges on non-trivial coherence timescales and entanglement metrics, but no single mathematical constant or ratio is universally established across the cited videos. | MATH: Key recurring structures: (a) Decoherence timescales τ_d ~ 10⁻¹³–10⁻¹⁵ s for isolated biomolecules vs. proposed 10⁻²⁰ s for microtubule quantum states (Penrose–Hameroff Orch-OR); (b) Entanglement entropy S = −Tr(ρ ln ρ) for neural networks; (c) Quantum tunneling rates k = A·exp(−2π²√(2mΔE)/ℏ) in enzyme catalysis (Al-Khalili); (d) Vibrational mode frequencies in microtubules ~ 10⁹–10¹⁰ Hz (terahertz range), with possible Fibonacci-adjacent ratios in tubulin dimer spacing (8 nm periodicity). | CONNECTION: Weak but suggestive — tubulin lattice shows hexagonal (6-fold) symmetry, related to crystallographic point group P6; microtubule protofilament numbers (13, 14, 15) are not Fibonacci but appear in quasi-crystal models; the 8 nm tubulin dimer spacing yields a 1.618 ra Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com