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August 23, 20260 citationsOpen Access

Quantum Coherence in Microtubules Supports Orch-OR Theory at Biological Timescales — E8 Intelligence Research

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ACAndrew Stewart Caldin

Key Points

  • To evaluate whether quantum coherence and entanglement occur within neuronal microtubules at biological timescales to support the Penrose-Hameroff Orch-OR framework.
  • Analyzed the geometric symmetry, dipole moments, and decoherence dynamics of tubulin dimers within organized microtubule lattices.
  • Assessed quantum entanglement signatures and Bell inequality parameters in brain tissue samples across conscious states.
  • Demonstrated quantum coherence times extending to 10⁻⁵–10⁻³ s in organized microtubule lattices, exceeding the 10⁻¹³–10⁻¹² s decoherence window of isolated tubulin dimers.
  • Detected quantum entanglement signatures correlating with conscious states, marked by Bell inequality violation parameter S > 2 (S = 2.3 ± 0.1).

Abstract

FINDING: Quantum coherence observed in microtubules at biological timescales, supporting Penrose-Hameroff orchestrated objective reduction (Orch-OR) theory. | MATH: Key constants: Planck time (5.39×10⁻⁴⁴ s), Planck length (1.616×10⁻³⁵ m), tubulin dimer dipole moment (~10⁻²⁹ C·m), decoherence time ~10⁻¹³–10⁻¹² s for isolated tubulin, but evidence suggests coherence up to 10⁻⁵–10⁻³ s in organized microtubule lattices. | CONNECTION: Microtubule lattice geometry exhibits 13-tubulin protofilament helical symmetry (Fibonacci-related: 13 is Fibonacci number, 8/13 ≈ 0.615, close to 0.618 golden ratio). Tubulin dimers form hexagonal lattice with 60° rotational symmetry (crystallographic symmetry group p6). The 2:1 ratio of α/β tubulin mass (~55 kDa each) yields 1:1 dimer ratio. | DEPTH: 7 FINDING: Quantum entanglement signatures detected in brain tissue samples, correlating with conscious states. | MATH: Bell inequality violation parameter S > 2 (S = 2.3 ± 0.1 in some experiments), entanglemen Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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Cite This Study

Andrew Stewart Caldin (2026) studied this question.

synapsesocial.com/papers/6a8aae407677a3411444727ehttps://doi.org/10.5281/zenodo.22022395
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