Quantum Tunneling Limits on Joint Nonlocal Quantum Measurements — E8 Intelligence Research

FINDING: Quantum tunneling is a wave-mechanical penetration of finite potential barriers, with a transmission coefficient exponentially suppressed by barrier width and height; "impossible" QFT measurements are possible but non-ideal, revealing fundamental limits on joint nonlocal observables. MATH: Transmission coefficient \(T ≈ e-2κ L\), where \(κ = √2m(V_0-E)/\). For a rectangular barrier: \(T = [1 + V_0^2 ^2(κ L)/4E(V_0-E)]⁻¹\). In the semiclassical (WKB) limit: \(T ≈ exp(-2/∫x_1x_2 √2m(V(x)-E)\,dx)\). The "impossible measurement" result (arXiv:2311.13644) shows that ideal joint nonlocal measurements in non-relativistic QM would violate no-signaling; only approximate (non-ideal) measurements are consistent, with error bounds scaling as \(ε ~ / Δ t\) for spacelike separations. CONNECTION: The exponential decay \(e-2κ L\) is structurally identica Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com