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Quantum Coherence in Microtubules: Orch-OR Theory and Objective Reduction Threshold — E8 Intelligence Research

Andrew Stewart Caldin

Zenodo (CERN European Organization for Nuclear Research) August 18, 2026 DOI: 10.5281/zenodo.21989524 (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 lacks direct proof and that its proposed collapse time of about 10^-13 seconds is far shorter than neural timescales. The author contends that no new equations, constants, or connections to geometric harmony, crystallographic symmetry, or golden ratios are supported by the examined sources, and rates their depth as 2 out of 10.

Abstract

FINDING: Orch-OR theory proposes quantum coherence in microtubules, with collapse linked to objective reduction (OR) threshold, not consciousness. New evidence suggests quantum effects in brain, but no direct proof of Penrose-Hameroff mechanism. MATH: - OR threshold: \( T \approx \hbar / E_G \), where \( E_G \) is gravitational self-energy. - For microtubule: \( E_G \sim G m^2 / r \), with \( m \sim 10^{-20} \) kg, \( r \sim 10^{-8} \) m → \( T \sim 10^{-13} \) s (far shorter than neural timescales). - No new equations or constants from these sources; no ratios (0.382, 0.618, etc.) or base-60 connections. CONNECTION: None. No geometric harmony, crystallographic symmetry, or lattice structures are invoked or supported by these findings. Microtubule geometry (hollow cylinders, 13 protofilaments) is structural but not linked to golden ratios or root systems. DEPTH: 2/10. These are popular summaries and debates, not original mathematical or experimental breakthroughs. The arXiv pa Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com