Quantum Tunneling and Limits of Joint Nonlocal Measurements in QFT — E8 Intelligence Research

FINDING: Quantum tunneling is a wave-mechanical penetration of finite potential barriers, with a transmission coefficient governed by the barrier's width, height, and particle energy; "impossible" measurements in QFT are shown to be possible but non-ideal, revealing a fundamental limit on joint nonlocal measurements. | MATH: Transmission coefficient \( T \approx e^{-2\kappa L} \), where \( \kappa = \sqrt{2m(V_0 - E)}/\hbar \) for a rectangular barrier of height \( V_0 \), width \( L \), particle energy \( E \). For arbitrary barriers, WKB approximation: \( T \approx \exp\left(-2\int_{x_1}^{x_2} \sqrt{\frac{2m(V(x)-E)}{\hbar^2}} \, dx\right) \). The QFT result (arXiv:2311.13644) shows impossible measurements are possible but not ideal — the mathematical structure involves the breakdown of the projection postulate in relativistic settings, with signaling constraints tied to the light cone. | CONNECTION: The exponential decay \( e^{-2\kappa L} \) is a pure exponential — no direct golden-r Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com