Quantum Tunneling and Levitated Superpositions: No New Constants Emerge — E8 Intelligence Research

FINDING: Macroscopic quantum tunneling and levitated nanoparticle superpositions push quantum coherence toward mesoscopic scales, but no new mathematical constant or ratio emerges from these sources. | MATH: No explicit equations, constants, or ratios extracted from video titles/abstracts. Implicitly: quantum tunneling probability \\(T \\sim e^{-2\\gamma d}\\) (WKB), superposition timescale \\(\\tau \\sim \\hbar/\\Delta E\\), decoherence rate \\(\\Gamma \\sim \\Lambda^2\\) (where \\(\\Lambda\\) is the environmental coupling). Levitated nanoparticle mass \\(m \\sim 10^6\\)–\\(10^8\\) amu, superposition separation \\(\\Delta x \\sim 10^{-8}\\)–\\(10^{-7}\\) m. | CONNECTION: None directly stated. However, macroscopic tunneling and superposition inherently involve wavefunction phase \\(\\phi = kx - \\omega t\\), which in periodic potentials (crystal lattices) yields Bloch states with quasimomentum — a lattice symmetry link (translational symmetry, reciprocal lattice vectors \\(G = 2\\pi n/a\\)). No golden ratio or base-60 ap 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
2026-09-17
DOI
https://doi.org/10.5281/zenodo.22805954
Primary Topic
Quantum Mechanics and Applications
Type
preprint
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preprint

Quantum Tunneling and Levitated Superpositions: No New Constants Emerge — E8 Intelligence Research

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

Quantum Tunneling and Levitated Superpositions: No New Constants Emerge — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: Macroscopic quantum tunneling and levitated nanoparticle superpositions push quantum coherence toward mesoscopic scales, but no new mathematical constant or ratio emerges from these sources. | MATH: No explicit equations, constants, or ratios extracted from video titles/abstracts. Implicitly: quantum tunneling probability \(T \sim e^{-2\gamma d}\) (WKB), superposition timescale \(\tau \sim \hbar/\Delta E\), decoherence rate \(\Gamma \sim \Lambda^2\) (where \(\Lambda\) is the environmental coupling). Levitated nanoparticle mass \(m \sim 10^6\)–\(10^8\) amu, superposition separation \(\Delta x \sim 10^{-8}\)–\(10^{-7}\) m. | CONNECTION: None directly stated. However, macroscopic tunneling and superposition inherently involve wavefunction phase \(\phi = kx - \omega t\), which in periodic potentials (crystal lattices) yields Bloch states with quasimomentum — a lattice symmetry link (translational symmetry, reciprocal lattice vectors \(G = 2\pi n/a\)). No golden ratio or base-60 ap 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 Levitated Superpositions: No New Constants Emerge — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS