Quantum Tunneling and Superposition: Experimental Confirmations of Existing Formalism — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: FINDING: Macroscopic quantum tunneling and superposition are experimentally probed via levitated nanoparticles and atom interferometry, but no new mathematical law emerges from these search results—they are experimental confirmations of existing quantum formalism. | MATH: No new equations; relies on standard Schrödinger dynamics \( i\hbar \partial_t \Psi = \hat{H}\Psi \), tunneling probability \( T \sim e^{-2\gamma L} \) with \( \gamma = \sqrt{2m(V_0-E)}/\hbar \), and decoherence rate \( \Gamma \propto (m \Delta x)^2 \) for macroscopic superpositions. | CONNECTION: The decoherence scaling \( \Gamma \propto m^2 \) implies a sharp transition at the Planck mass scale \( m_P = \sqrt{\hbar c/G} \approx 2.176\times10^{-8}\,\text{kg} \) — a natural boundary where quantum-to-classical crossover occurs. This mass scale relates to the ratio \( m_P/m_e \approx 2.389\times10^{22} \), not directly to golden ratios. However, the levitated nanoparticle experiments operate in the \( 10^{-18} \) to \( Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Author: Caldin, Andrew Stewart
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7204163042
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