Gravitational Threshold for Quantum Collapse in Microtubules: Unverified — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: FINDING: Orch-OR posits objective reduction (OR) as a gravitational threshold for quantum superposition collapse in microtubules, with E_G·T ≈ ħ as the core uncertainty relation; no 2024 experimental verification found in these results. MATH: - Core relation: \( E_G \cdot T \approx \hbar \) (gravitational self-energy \(E_G\) times superposition lifetime \(T\) at Planck-scale threshold). - \( E_G = \frac{1}{4\pi G} \int ( \nabla \phi )^2 \, d^3x \) (Penrose's gravitational self-energy of mass distribution difference). - For a single nucleon: \( E_G \sim \frac{G m^2}{r} \sim 10^{-45} \, \text{J} \) → \( T \sim \hbar / E_G \sim 10^{14} \, \text{s} \) (far too long for brain timescales unless orchestrated via ~10⁹ tubulin qubits). - Coherence time in microtubules (proposed): \( \tau \sim 10^{-4} \)–\(10^{-3}\) s, requiring \( E_G \sim 10^{-31} \)–\(10^{-30}\) J — consistent with ~10⁹–10¹⁰ collective dipoles. CONNECTION: - The ratio \( E_G T / \hbar = 1 \) is a *dimensionless Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Author: Caldin, Andrew Stewart
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7215731623
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