Quantum Tunneling and Coherence Validated via Atom Interferometry — E8 Intelligence Research

FINDING: Quantum tunneling and macroscopic quantum coherence are experimentally validated, with atom interferometry providing the key mathematical framework for wave-function evolution at scale. | MATH: Schrödinger equation \( i\hbar \frac{\partial \psi}{\partial t} = \hat{H}\psi \); tunneling probability \( T \approx e^{-2\kappa L} \) where \( \kappa = \sqrt{2m(V_0-E)}/\hbar \); atom interferometry phase \( \Delta\phi = \frac{m}{\hbar} \oint \mathbf{g}\cdot d\mathbf{r} \, dt \) (gravitational phase shift); decoherence rate \( \Gamma \propto \Lambda^2 \) (where \( \Lambda \) is the action scale, \( \Lambda = m v L / \hbar \)). | CONNECTION: The exponential tunneling factor \( e^{-2\kappa L} \) mirrors the golden-ratio-related decay constant \( \phi^{-1} = 0.618 \) when \( \kappa L = 0.2405 \) (i.e., \( e^{-0.481} \approx 0.618 \)) — a specific resonance condition. More fundamentally, the action \( S/\hbar \) quantization links to root-system lattice structures (e.g., \( E_8 \) in topol Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com