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 \( i ∂ ψ/∂ t = Ĥψ \); tunneling probability \( T ≈ e-2κ L \) where \( κ = √2m(V_0-E)/ \); atom interferometry phase \( Δφ = m/ ∮ g· dr \, dt \) (gravitational phase shift); decoherence rate \( Γ ∝ Λ^2 \) (where \( Λ \) is the action scale, \( Λ = m v L / \)). | CONNECTION: The exponential tunneling factor \( e-2κ L \) mirrors the golden-ratio-related decay constant \( φ⁻¹ = 0.618 \) when \( κ L = 0.2405 \) (i.e., \( e-0.481 ≈ 0.618 \)) — a specific resonance condition. More fundamentally, the action \( S/ \) 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