Quantum Tunneling and Superposition: Experimental Frontiers, No New Math — E8 Intelligence Research

FINDING: Quantum tunneling and macroscopic quantum superposition are being actively pursued via levitated nanoparticles and atom interferometry, but no new mathematical constant or equation emerges from these search results — they are experimental/educational, not theoretical breakthroughs. | MATH: No new equations or constants extracted. Relevant known formalism: tunneling probability \( T \approx e^{-2\kappa L} \), \(\kappa = \sqrt{2m(V_0-E)}/\hbar\); macroscopic superposition requires maintaining coherence time \(\tau \propto \hbar^2/(m k_B T x^2)\) (decoherence rate scaling). Atom interferometry phase: \(\Delta\phi = (m/\hbar) \oint \mathbf{g}\cdot d\mathbf{r}\, dt\). | CONNECTION: None directly stated. However, note that levitated nanoparticle superposition experiments often use optical lattices — which are periodic structures with crystallographic symmetry (e.g., 1D lattice spacing \(d = \lambda/2\) — ratio 0.5, not golden). No 0.382/0.618/0.786/1.618/2.618 or base-60 appears in 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
2026-10-19
DOI
https://doi.org/10.5281/zenodo.23465085
Primary Topic
Quantum Mechanics and Applications
Type
preprint
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preprint

Quantum Tunneling and Superposition: Experimental Frontiers, No New Math — E8 Intelligence Research

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

Quantum Tunneling and Superposition: Experimental Frontiers, No New Math — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: Quantum tunneling and macroscopic quantum superposition are being actively pursued via levitated nanoparticles and atom interferometry, but no new mathematical constant or equation emerges from these search results — they are experimental/educational, not theoretical breakthroughs. | MATH: No new equations or constants extracted. Relevant known formalism: tunneling probability \( T \approx e^{-2\kappa L} \), \(\kappa = \sqrt{2m(V_0-E)}/\hbar\); macroscopic superposition requires maintaining coherence time \(\tau \propto \hbar^2/(m k_B T x^2)\) (decoherence rate scaling). Atom interferometry phase: \(\Delta\phi = (m/\hbar) \oint \mathbf{g}\cdot d\mathbf{r}\, dt\). | CONNECTION: None directly stated. However, note that levitated nanoparticle superposition experiments often use optical lattices — which are periodic structures with crystallographic symmetry (e.g., 1D lattice spacing \(d = \lambda/2\) — ratio 0.5, not golden). No 0.382/0.618/0.786/1.618/2.618 or base-60 appears in 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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Quantum Tunneling and Superposition: Experimental Frontiers, No New Math — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS