Quantum Coherence in Microtubules: Orch-OR Theory and the Physics of Consciousness — E8 Intelligence Research
Zenodo (CERN European Organization for Nuclear Research) August 30, 2026 DOI: 10.5281/zenodo.22169528 (opens in new tab)
Study at a glance
AI-extracted from the abstract| Characteristics | Theoretical or philosophical paper Peer reviewed |
|---|---|
| Key points | Argues that the Orch-OR theory's microtubule structure and objective reduction criterion display mathematical patterns, including Fibonacci protofilament counts, hexagonal symmetry, and a dimer-to-pitch ratio near 2/3, while noting that the gravitational self-energy term is Newtonian rather than directly harmonic. |
Abstract
FINDING: Orch-OR theory posits quantum coherence in microtubules (tubulin dimers) as the physical basis of consciousness, with objective reduction (OR) as a gravitational threshold bridging quantum and classical realms. | MATH: OR criterion: \( E_\Delta \cdot \tau \approx \hbar \) (energy uncertainty × coherence time ≈ Planck's constant); tubulin dipole states as qubits; microtubule lattice geometry: hexagonal (6-fold) symmetry, 13 protofilaments per tubule (Fibonacci-adjacent), dimer spacing ~8 nm, helical pitch ~12 nm. | CONNECTION: Microtubule lattice exhibits 6-fold crystallographic symmetry (hexagonal close packing) — a root system of type A₂, with Fibonacci numbers (13, 21, 34) appearing in protofilament counts across species. The ratio of tubulin dimer length to helical pitch ≈ 8/12 = 0.667 (close to 2/3), and the hexagonal angle 60° is base-60 compatible. Penrose's OR uses gravitational self-energy \( E_G = \frac{G m^2}{r} \) — a Newtonian constant, not directly harmonic, but t Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com