Quantum Tunneling and Macroscopic Entanglement: Experimental Frontiers — E8 Intelligence Research

FINDING: Quantum tunneling and macroscopic entanglement are being experimentally probed, but the search results are pedagogical/overview-level, not new mathematical breakthroughs. | MATH: No new equations or constants extracted; standard quantum tunneling transmission coefficient \( T \approx e^{-2\kappa d} \) (with \( \kappa = \sqrt{2m(V_0-E)}/\hbar \)) and entanglement tomography of macroscopic mechanical oscillators (Gaussian state covariance matrices) are implied. | CONNECTION: The tunneling exponential decay rate \( \kappa \) has no direct golden-ratio link; however, the macroscopic entanglement tomography (NIST) involves phonon modes whose frequency ratios in coupled oscillators can yield \( \sqrt{2} \) or harmonic ratios, but no explicit 0.618/1.618 evidence in the provided text. | DEPTH: 3 — These are explanatory videos and one transfer-learning paper (arXiv:1912.08278), not primary derivations. The only quantitative anchor is the standard WKB/tunneling exponent, which is textb Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-07
DOI
https://doi.org/10.5281/zenodo.22628835
Primary Topic
Quantum Mechanics and Applications
Type
preprint
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preprint

Quantum Tunneling and Macroscopic Entanglement: Experimental Frontiers — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Applications
preprint

Quantum Tunneling and Macroscopic Entanglement: Experimental Frontiers — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: Quantum tunneling and macroscopic entanglement are being experimentally probed, but the search results are pedagogical/overview-level, not new mathematical breakthroughs. | MATH: No new equations or constants extracted; standard quantum tunneling transmission coefficient \( T \approx e^{-2\kappa d} \) (with \( \kappa = \sqrt{2m(V_0-E)}/\hbar \)) and entanglement tomography of macroscopic mechanical oscillators (Gaussian state covariance matrices) are implied. | CONNECTION: The tunneling exponential decay rate \( \kappa \) has no direct golden-ratio link; however, the macroscopic entanglement tomography (NIST) involves phonon modes whose frequency ratios in coupled oscillators can yield \( \sqrt{2} \) or harmonic ratios, but no explicit 0.618/1.618 evidence in the provided text. | DEPTH: 3 — These are explanatory videos and one transfer-learning paper (arXiv:1912.08278), not primary derivations. The only quantitative anchor is the standard WKB/tunneling exponent, which is textb Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Applications
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