Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Quantum-Coherent Microtubule Consciousness: Orch-OR vs Decoherence in the Warm Brain — E8 Intelligence Research

Andrew Stewart Caldin

Published Oct 29, 2026• 0 citations
Publisher

Abstract

FINDING: Quantum biology + Orch-OR hypothesis cluster — consciousness as quantum-coherent process in neural microtubules, not classical computation | MATH: Penrose-Hameroff Orch-OR: tubulin dimers (≈ 8 nm lattice spacing) in microtubule (13 protofilament helical lattice, B-lattice, 3-start helix); collapse time τ ≈ ℏ/E_G where E_G ≈ 10⁻¹¹ eV (Diósi-Penrose gravitational self-energy threshold); Fröhlich condensation at ~10¹¹ Hz; decoherence times in warm wet brain ~10⁻¹³–10⁻²⁰ s vs required ~10⁻² s (the "gap problem") | CONNECTION: Microtubule is a 13-fold helical lattice — 13 is Fibonacci F₇; A/B tubulin lattice follows φ-related phyllotactic packing (13/8 ≈ 1.625 ≈ φ); 3-start helix and 8 nm spacing echo Fibonacci (3, 8, 13); Penrose tiling (φ, 5-fold) is the mathematical substrate Penrose himself invokes for non-computable geometry | DEPTH: 7 FINDING: Recent experimental claims of quantum effects in brain (superradiance, spin coherence, anesthetics binding microtubules) — evidence i Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI
10.5281/zenodo.23756110

Related papers

MERLIN SCIENCE — Quantum-Coherent Microtubule Consciousness: Orch-OR vs Decoherence in — E8 Intelligence Research

Andrew Stewart Caldin

Here is the finding in one sentence: the Orch-OR hypothesis proposes that consciousness arises from quantum-coherent processes in neural microtubules rather than classical computation, and the numbers either hold up or they do not. The field sits in an uncomfortable place. Penrose and Hameroff built the only mathematically rigorous consciousness-quantum proposal we have. Tubulin dimers pack into a thirteen-protofilament helical lattice with eight-nanometer spacing and a three-start helix. The collapse time follows tau equals h-bar over E_G, where E_G is the Diósi-Penrose gravitational self-energy threshold, roughly ten to the minus eleven electron volts for a tubulin dimer. That gives a collapse time near ten to the minus two seconds, which matches neural timescales. Fröhlich condensation is predicted near ten to the eleventh hertz. The mechanism is clean on paper. Then comes the gap problem. Decoherence times in a warm, wet brain run between ten to the minus thirteen and ten to the Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

•Oct 29, 2026•0 citations

Microtubule Quantum Coherence: Short-Lived Warm Effects, Not Orch-OR Consciousness — E8 Intelligence Research

Andrew Stewart Caldin

FINDING: Microtubule quantum coherence experiments test whether neural processes exploit quantum effects, but current evidence supports only short-lived, warm-temperature coherences — not Orch-OR consciousness claims. MATH: Key quantities: tubulin dimers ~8 nm; microtubule lattice periodicity ~8 nm axial / ~5.4 nm helical; Fröhlich condensate frequency range ~10^9–10^11 Hz; decoherence times in warm wet systems typically 10^-13–10^-20 s; quantum beat signals in cavity QED from ground-state coherences; two-mode cavity QED correlations. No confirmed Orch-OR equation. Penrose–Hameroff proposal uses gravitational self-energy collapse time τ ≈ ħ / E_G, where E_G is gravitational self-energy of superposed mass distribution. CONNECTION: Microtubules show crystallographic/lattice symmetry: 13 protofilaments, helical arrangement, tubulin dimer repeat ~8 nm. 13 is Fibonacci-related; helical pitch/axial repeat ratios may approximate φ-like packing motifs, but evidence does not establish 0.618 Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

•Oct 27, 2026•0 citations

Testing Orch-OR: Microtubule Quantum Coherence Versus Thermal Decoherence — E8 Intelligence Research

Andrew Stewart Caldin

FINDING: Microtubule quantum coherence experiments test whether Orch-OR (Penrose–Hameroff) predicts sustained quantum superpositions in tubulin lattices; current evidence is suggestive but not conclusive. | MATH: Key quantities: decoherence time τ_D vs. neural timescale τ_neural (~10⁻³ s); tubulin dimer spacing d ≈ 8 nm (lattice constant of microtubule B-lattice); Fröhlich condensate frequency ω ≈ 10¹¹–10¹² Hz; thermal decoherence rate Γ ≈ k_B T / ℏ at T = 310 K → Γ ~ 10¹³ s⁻¹. | CONNECTION: Microtubule lattice is a helical Bravais lattice with 13 protofilaments (13 = Fibonacci number F₇), 3-start helix, dimer repeat 8 nm, pitch ~12 nm. 13/8 ≈ 1.625 ≈ φ (0.7% deviation). | DEPTH: 6 --- **1. Key mathematical insight** The Orch-OR hypothesis reduces to an inequality: τ_D > τ_neural where τ_D is the quantum coherence lifetime of tubulin superpositions and τ_neural ~ 10⁻³ s is the relevant neural integration time. Tegmark (2000) computed τ_D ~ 10⁻¹³ s from k_B T/ℏ, killing the hypothe Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

•Oct 31, 2026•0 citations

Quantum Coherence in Microtubules: Testing Orch-OR via Entanglement and Geometric Constraints — E8 Intelligence Research

Andrew Stewart Caldin

FINDING: Quantum biology/consciousness research centers on Penrose-Hameroff Orch-OR theory, proposing quantum computation in microtubules via coherent states, with recent experimental hints of entanglement in neural tissue. | MATH: Orch-OR invokes **objective reduction (OR)** threshold \( E_\Delta = \hbar / T \) (energy-time uncertainty), where \( T \) is coherence time; microtubule lattice geometry maps to **hexagonal/pentagonal tiling** with Fibonacci-related spacing (~8nm tubulin dimers, 13 protofilaments — Fibonacci pair 8,13). Quantum coherence timescales proposed ~\( 10^{-13} \) s to \( 10^{-4} \) s depending on decoherence shielding. | CONNECTION: Microtubule structure exhibits **crystallographic-like symmetry** (hexagonal lattice, 13₀ helical pitch), and 8:13 ratio ≈ 0.615 (near golden ratio conjugate 0.618). Penrose's original OR uses **non-computable** elements tied to fundamental spacetime geometry, not explicit φ, but the biological substrate's Fibonacci numbers (8,13) appe Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

•Oct 24, 2026•0 citations

Quantum Coherence in Microtubules: Orch-OR Theory and Planck-Scale Constants — E8 Intelligence Research

Andrew Stewart Caldin

FINDING: Quantum biology and consciousness research centers on microtubule quantum coherence, with Penrose–Hameroff Orch-OR theory as the dominant mathematical framework. | MATH: Key constants/structures: Planck time (5.39×10⁻⁴⁴ s), Planck mass (2.18×10⁻⁸ kg), quantum decoherence timescales (~10⁻¹³ s at 300K vs. proposed ~10⁻⁵ s in microtubules), tubulin dimer spacing (8 nm), microtubule lattice geometry (13 protofilaments, 3-start helix, 5-start helix — Fibonacci-related). Orch-OR invokes objective reduction (OR) with threshold E = ħ/t (energy-time uncertainty), where t is coherence time. | CONNECTION: Microtubule lattice is a hexagonal/crystallographic structure with 13-fold symmetry (protofilament count) — 13 is Fibonacci (F₇). The 3-start and 5-start helical pitch ratios (3:5) are consecutive Fibonacci numbers, yielding golden-ratio-adjacent pitch angles (~30° and ~50°). Tubulin dimers alternate α/β with 4 nm periodicity; the 8 nm dimer length × 13 protofilaments = 104 nm circumfer Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

•Oct 9, 2026•0 citations

Microtubule Quantum Coherence and the Orch-OR Criterion in Neural Tissue — E8 Intelligence Research

Andrew Stewart Caldin

FINDING: Microtubule quantum coherence experiments probe whether orchestrated objective reduction (Orch-OR) is physically realizable in neural tissue | MATH: Decoherence time τ_d vs. neural timescale τ_n; Orch-OR criterion τ_d ≥ τ_n ≈ 10⁻³–10⁻¹ s; tubulin dimer mass m ≈ 110 kDa; superposition energy E = ℏ/τ_d; gravitational self-energy E_G = Gm²/Δx for Penrose reduction | CONNECTION: Tubulin lattice is a helical Bravais lattice with 13 protofilaments (13 = Fibonacci F₇), 3-start helix (3:1 pitch ratio), and A/B tubulin dimer spacing 8 nm — a quasi-crystalline arrangement with 13-fold helical symmetry, not 5-fold icosahedral; 13/8 ≈ 1.625 approaches φ = 1.618 within 0.4% | DEPTH: 6 Supporting detail: 1. **Key mathematical insight**: Orch-OR posits that quantum superpositions in tubulin dimers collapse via Penrose's gravitational objective reduction at timescale τ ≈ ℏ/E_G. The measurable quantity is whether environmental decoherence (thermal, dielectric, vibrational) exceeds this colla Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

•Nov 1, 2026•0 citations
FINDING: Quantum biology + Orch-OR hypothesis cluster — consciousness as quantum-coherent process in neural microtubules, not classical computation | MATH: Penrose-Hameroff Orch-OR: tubulin dimers (≈ 8 nm lattice spacing) in microtubule (13 protofilament helical lattice, B-lattice, 3-start helix); collapse time τ ≈ ℏ/E_G where E_G ≈ 10⁻¹¹ eV (Diósi-Penrose gravitational self-energy threshold); Fröhlich condensation at ~10¹¹ Hz; decoherence times in warm wet brain ~10⁻¹³–10⁻²⁰ s vs required ~10⁻² s (the "gap problem") | CONNECTION: Microtubule is a 13-fold helical lattice — 13 is Fibonacci F₇; A/B tubulin lattice follows φ-related phyllotactic packing (13/8 ≈ 1.625 ≈ φ); 3-start helix and 8 nm spacing echo Fibonacci (3, 8, 13); Penrose tiling (φ, 5-fold) is the mathematical substrate Penrose himself invokes for non-computable geometry | DEPTH: 7 FINDING: Recent experimental claims of quantum effects in brain (superradiance, spin coherence, anesthetics binding microtubules) — evidence i Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Here is the finding in one sentence: the Orch-OR hypothesis proposes that consciousness arises from quantum-coherent processes in neural microtubules rather than classical computation, and the numbers either hold up or they do not. The field sits in an uncomfortable place. Penrose and Hameroff built the only mathematically rigorous consciousness-quantum proposal we have. Tubulin dimers pack into a thirteen-protofilament helical lattice with eight-nanometer spacing and a three-start helix. The collapse time follows tau equals h-bar over E_G, where E_G is the Diósi-Penrose gravitational self-energy threshold, roughly ten to the minus eleven electron volts for a tubulin dimer. That gives a collapse time near ten to the minus two seconds, which matches neural timescales. Fröhlich condensation is predicted near ten to the eleventh hertz. The mechanism is clean on paper. Then comes the gap problem. Decoherence times in a warm, wet brain run between ten to the minus thirteen and ten to the Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
FINDING: Microtubule quantum coherence experiments test whether neural processes exploit quantum effects, but current evidence supports only short-lived, warm-temperature coherences — not Orch-OR consciousness claims. MATH: Key quantities: tubulin dimers ~8 nm; microtubule lattice periodicity ~8 nm axial / ~5.4 nm helical; Fröhlich condensate frequency range ~10^9–10^11 Hz; decoherence times in warm wet systems typically 10^-13–10^-20 s; quantum beat signals in cavity QED from ground-state coherences; two-mode cavity QED correlations. No confirmed Orch-OR equation. Penrose–Hameroff proposal uses gravitational self-energy collapse time τ ≈ ħ / E_G, where E_G is gravitational self-energy of superposed mass distribution. CONNECTION: Microtubules show crystallographic/lattice symmetry: 13 protofilaments, helical arrangement, tubulin dimer repeat ~8 nm. 13 is Fibonacci-related; helical pitch/axial repeat ratios may approximate φ-like packing motifs, but evidence does not establish 0.618 Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
FINDING: Microtubule quantum coherence experiments test whether Orch-OR (Penrose–Hameroff) predicts sustained quantum superpositions in tubulin lattices; current evidence is suggestive but not conclusive. | MATH: Key quantities: decoherence time τ_D vs. neural timescale τ_neural (~10⁻³ s); tubulin dimer spacing d ≈ 8 nm (lattice constant of microtubule B-lattice); Fröhlich condensate frequency ω ≈ 10¹¹–10¹² Hz; thermal decoherence rate Γ ≈ k_B T / ℏ at T = 310 K → Γ ~ 10¹³ s⁻¹. | CONNECTION: Microtubule lattice is a helical Bravais lattice with 13 protofilaments (13 = Fibonacci number F₇), 3-start helix, dimer repeat 8 nm, pitch ~12 nm. 13/8 ≈ 1.625 ≈ φ (0.7% deviation). | DEPTH: 6 --- **1. Key mathematical insight** The Orch-OR hypothesis reduces to an inequality: τ_D > τ_neural where τ_D is the quantum coherence lifetime of tubulin superpositions and τ_neural ~ 10⁻³ s is the relevant neural integration time. Tegmark (2000) computed τ_D ~ 10⁻¹³ s from k_B T/ℏ, killing the hypothe Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
FINDING: Quantum biology/consciousness research centers on Penrose-Hameroff Orch-OR theory, proposing quantum computation in microtubules via coherent states, with recent experimental hints of entanglement in neural tissue. | MATH: Orch-OR invokes **objective reduction (OR)** threshold EΔ=ℏ/T E_\Delta = \hbar / T EΔ​=ℏ/T (energy-time uncertainty), where T T T is coherence time; microtubule lattice geometry maps to **hexagonal/pentagonal tiling** with Fibonacci-related spacing (~8nm tubulin dimers, 13 protofilaments — Fibonacci pair 8,13). Quantum coherence timescales proposed ~10−13 10^{-13} 10−13 s to 10−4 10^{-4} 10−4 s depending on decoherence shielding. | CONNECTION: Microtubule structure exhibits **crystallographic-like symmetry** (hexagonal lattice, 13₀ helical pitch), and 8:13 ratio ≈ 0.615 (near golden ratio conjugate 0.618). Penrose's original OR uses **non-computable** elements tied to fundamental spacetime geometry, not explicit φ, but the biological substrate's Fibonacci numbers (8,13) appe Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
FINDING: Quantum biology and consciousness research centers on microtubule quantum coherence, with Penrose–Hameroff Orch-OR theory as the dominant mathematical framework. | MATH: Key constants/structures: Planck time (5.39×10⁻⁴⁴ s), Planck mass (2.18×10⁻⁸ kg), quantum decoherence timescales (~10⁻¹³ s at 300K vs. proposed ~10⁻⁵ s in microtubules), tubulin dimer spacing (8 nm), microtubule lattice geometry (13 protofilaments, 3-start helix, 5-start helix — Fibonacci-related). Orch-OR invokes objective reduction (OR) with threshold E = ħ/t (energy-time uncertainty), where t is coherence time. | CONNECTION: Microtubule lattice is a hexagonal/crystallographic structure with 13-fold symmetry (protofilament count) — 13 is Fibonacci (F₇). The 3-start and 5-start helical pitch ratios (3:5) are consecutive Fibonacci numbers, yielding golden-ratio-adjacent pitch angles (~30° and ~50°). Tubulin dimers alternate α/β with 4 nm periodicity; the 8 nm dimer length × 13 protofilaments = 104 nm circumfer Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
FINDING: Microtubule quantum coherence experiments probe whether orchestrated objective reduction (Orch-OR) is physically realizable in neural tissue | MATH: Decoherence time τ_d vs. neural timescale τ_n; Orch-OR criterion τ_d ≥ τ_n ≈ 10⁻³–10⁻¹ s; tubulin dimer mass m ≈ 110 kDa; superposition energy E = ℏ/τ_d; gravitational self-energy E_G = Gm²/Δx for Penrose reduction | CONNECTION: Tubulin lattice is a helical Bravais lattice with 13 protofilaments (13 = Fibonacci F₇), 3-start helix (3:1 pitch ratio), and A/B tubulin dimer spacing 8 nm — a quasi-crystalline arrangement with 13-fold helical symmetry, not 5-fold icosahedral; 13/8 ≈ 1.625 approaches φ = 1.618 within 0.4% | DEPTH: 6 Supporting detail: 1. **Key mathematical insight**: Orch-OR posits that quantum superpositions in tubulin dimers collapse via Penrose's gravitational objective reduction at timescale τ ≈ ℏ/E_G. The measurable quantity is whether environmental decoherence (thermal, dielectric, vibrational) exceeds this colla Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com