Quantum Tunneling and Superposition: Experimental Confirmations of Existing Formalism — E8 Intelligence Research

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