Quantum Coherence in Microtubules: Testing Orch-OR via Entanglement and Geometric Constraints — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
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 (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
Related
- Quantum Coherence in Microtubules: Simulation Insights, Experimental Evidence Still Lacking — E8 Intelligence Research
- Quantum Microtubules as Consciousness Substrate: Hexagonal Lattice Coherence Evidence — E8 Intelligence Research
- Orch-OR Review Finds No New Evidence or Equations for Quantum Coherence in Microtubules — E8 Intelligence Research
- Quantum Vibrational Coherence in Microtubules: Mesoscale Superposition Without Consciousness-Specific Geometry — E8 Intelligence Research
- Testing Orch-OR: Quantum Coherence in Microtubules and Unmeasured Gravitational Collapse Timescales — E8 Intelligence Research
BibTeX
@misc{caldin2026quantum,
title = {{Quantum Coherence in Microtubules: Testing Orch-OR via Entanglement and Geometric Constraints — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23616657},
url = {https://zenodo.org/records/23616657},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Quantum Coherence in Microtubules: Testing Orch-OR via Entanglement and Geometric Constraints — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/24
PB - Zenodo
DO - 10.5281/zenodo.23616657
UR - https://zenodo.org/records/23616657
AB - 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_Δ = ℏ / 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
ER -