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PreprintCC BY 4.0Zenodo

Quantum Gravity in Microtubules: Testing Orch-OR Timescales Without Golden-Ratio Coupling — E8 Intelligence Research

  1. 1Independent Researcher, United Kingdom

Abstract

FINDING: Orch-OR theory proposes objective reduction (OR) as a physical bridge between quantum superposition and classical spacetime, with a proposed timescale τ ≈ ħ/E_G where E_G is gravitational self-energy; recent evidence claims quantum effects in microtubules but no confirmed Fibonacci or golden-ratio coupling.

MATH: - Orch-OR timescale: τ ≈ ħ / E_G, with E_G = (1/2) * (4πG) * ∫∫ [Δρ(x)Δρ(x')] / |x−x'| d³x d³x' (Penrose's gravitational self-energy). - Microtubule tubulin dipole states: superposition separation ~1 nm; estimated E_G ~ 10⁻¹³ eV → τ ~ 10⁻¹⁴–10⁻¹³ s (far faster than 40 Hz gamma synchrony, a known tension). - No explicit Fibonacci, golden ratio, or base-60 constants appear in the cited sources. - Quantum gravity experimental search (arXiv:1010.3420) lists phenomenological models (e.g., deformed dispersion relations E² = p²c² + ξ(E/M_Pl)ⁿ) — no harmonic ratios.

CONNECTION: - Weak: Microtubule lattice (13 protofilaments, 8 nm tubulin dimers) has a helical pitc

Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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BibTeX
@misc{caldin2026quantum,
  title = {{Quantum Gravity in Microtubules: Testing Orch-OR Timescales Without Golden-Ratio Coupling — E8 Intelligence Research}},
  author = {Andrew Stewart Caldin},
  howpublished = {Zenodo},
  year = {2026},
  month = oct,
  doi = {10.5281/zenodo.23658341},
  url = {https://zenodo.org/records/23658341},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Quantum Gravity in Microtubules: Testing Orch-OR Timescales Without Golden-Ratio Coupling — E8 Intelligence Research
AU  - Andrew Stewart Caldin
PY  - 2026
DA  - 2026/10/26
PB  - Zenodo
DO  - 10.5281/zenodo.23658341
UR  - https://zenodo.org/records/23658341
AB  - FINDING: Orch-OR theory proposes objective reduction (OR) as a physical bridge between quantum superposition and classical spacetime, with a proposed timescale τ ≈ ħ/E_G where E_G is gravitational self-energy; recent evidence claims quantum effects in microtubules but no confirmed Fibonacci or golden-ratio coupling.  MATH: - Orch-OR timescale: τ ≈ ħ / E_G, with E_G = (1/2) * (4πG) * ∫∫ [Δρ(x)Δρ(x')] / |x−x'| d³x d³x' (Penrose's gravitational self-energy). - Microtubule tubulin dipole states: superposition separation ~1 nm; estimated E_G ~ 10⁻¹³ eV → τ ~ 10⁻¹⁴–10⁻¹³ s (far faster than 40 Hz gamma synchrony, a known tension). - No explicit Fibonacci, golden ratio, or base-60 constants appear in the cited sources. - Quantum gravity experimental search (arXiv:1010.3420) lists phenomenological models (e.g., deformed dispersion relations E² = p²c² + ξ(E/M_Pl)ⁿ) — no harmonic ratios.  CONNECTION: - Weak: Microtubule lattice (13 protofilaments, 8 nm tubulin dimers) has a helical pitc  Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER  -