Testing Orch-OR: Quantum Coherence in Microtubules and Unmeasured Gravitational Collapse Timescales — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
FINDING: Penrose-Hameroff Orch-OR theory posits objective reduction (gravitational self-energy collapse) of quantum superpositions in microtubules at ~10 MHz, with recent experimental evidence of quantum coherence in brain tissue; no confirmed measurement of the gravitational collapse timescale yet. | MATH: Orch-OR collapse time τ ≈ ħ/E_G, where gravitational self-energy E_G = (1/2)G∫∫[ρ(r)ρ(r') - ρ_ψ(r)ρ_ψ(r')]/|r-r'| d³r d³r'. For a single microtubule dimer (~10⁶ Da, ~10⁻²⁴ kg, ~10⁻⁹ m separation), E_G ~ 10⁻³⁶ J → τ ~ 10⁻¹⁰ s (too fast); for ~10⁸ coherent tubulins, τ ~ 10⁻⁴–10⁻³ s (matches 40 Hz gamma). No new constants beyond G, ħ. | CONNECTION: None direct — but note the collapse threshold E_G ~ ħ/τ implies a fundamental ratio ħG/c³ ~ 10⁻⁷⁰ m² (Planck area squared), and the 10 MHz megahertz brainwave frequency is ~2π × 10⁷ s⁻¹, whose reciprocal (10⁻⁷ s) is near the golden ratio conjugate 0.618 × 10⁻⁷ s — weak, speculative, not supported by evidence. | DEPTH: 3 — interesting hypothe
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Related
- Quantum Gravity in Microtubules: Testing Orch-OR Timescales Without Golden-Ratio Coupling — E8 Intelligence Research
- Quantum Coherence in Microtubules: Testing Orch-OR via Entanglement and Geometric Constraints — E8 Intelligence Research
- 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
BibTeX
@misc{caldin2026testing,
title = {{Testing Orch-OR: Quantum Coherence in Microtubules and Unmeasured Gravitational Collapse Timescales — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23635378},
url = {https://zenodo.org/records/23635378},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Testing Orch-OR: Quantum Coherence in Microtubules and Unmeasured Gravitational Collapse Timescales — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/25
PB - Zenodo
DO - 10.5281/zenodo.23635378
UR - https://zenodo.org/records/23635378
AB - FINDING: Penrose-Hameroff Orch-OR theory posits objective reduction (gravitational self-energy collapse) of quantum superpositions in microtubules at ~10 MHz, with recent experimental evidence of quantum coherence in brain tissue; no confirmed measurement of the gravitational collapse timescale yet. | MATH: Orch-OR collapse time τ ≈ ħ/E_G, where gravitational self-energy E_G = (1/2)G∫∫[ρ(r)ρ(r') - ρ_ψ(r)ρ_ψ(r')]/|r-r'| d³r d³r'. For a single microtubule dimer (~10⁶ Da, ~10⁻²⁴ kg, ~10⁻⁹ m separation), E_G ~ 10⁻³⁶ J → τ ~ 10⁻¹⁰ s (too fast); for ~10⁸ coherent tubulins, τ ~ 10⁻⁴–10⁻³ s (matches 40 Hz gamma). No new constants beyond G, ħ. | CONNECTION: None direct — but note the collapse threshold E_G ~ ħ/τ implies a fundamental ratio ħG/c³ ~ 10⁻⁷⁰ m² (Planck area squared), and the 10 MHz megahertz brainwave frequency is ~2π × 10⁷ s⁻¹, whose reciprocal (10⁻⁷ s) is near the golden ratio conjugate 0.618 × 10⁻⁷ s — weak, speculative, not supported by evidence. | DEPTH: 3 — interesting hypothe Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -