Quantum Tunneling: Exponential Decay and Nonlocality, Not Fundamental Ban — E8 Intelligence Research

FINDING: Quantum tunneling is governed by exponential decay of the wavefunction through a barrier, with transmission probability scaling as \(T ~ e-2κ L\), where \(κ = √2m(V_0-E)/\). The "impossible measurement" problem in QFT reduces to a non-relativistic nonlocality constraint, not a fundamental ban. | MATH: Transmission coefficient for rectangular barrier: \(T⁻¹ = 1 + V_0^2 ^2(κ L)/4E(V_0-E)\). For \(E V_0\): \(T ≈ 16E(V_0-E)/V_0^2 e-2κ L\). Gamow factor: \(T = e-2γ\), \(γ = 1/∫x_1x_2 √2m(V(x)-E)\,dx\). WKB phase: \(φ = 1/∫ √2m(E-V(x))\,dx\). | CONNECTION: The exponential suppression factor \(e-2κ L\) has no direct golden-ratio link, but the *critical* barrier thickness where tunneling becomes non-negligible often satisfies \(κ L ≈ 1\), which in natural units maps to \(L ≈ 1/κ\). In base-60 or lattice contexts, the Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com