Quantum Tunneling vs. QFT Impossible Measurement: Distinct Nonlocal Issues — E8 Intelligence Research

FINDING: Quantum tunneling is a wave-mechanical transmission problem through a classically forbidden potential barrier, and the "impossible measurement" problem in QFT is a nonlocal joint-measurement consistency issue, not a transport phenomenon. | MATH: For a rectangular barrier of height V₀ > E and width a, the transmission coefficient in the thick-barrier (WKB) limit is T ≈ 16(E/V₀)(1−E/V₀)·exp(−2κa), where κ = √(2m(V₀−E))/ħ. The exact result comes from matching plane waves across the barrier: T = [1 + (V₀² sinh²(κa))/(4E(V₀−E))]⁻¹. Inside the barrier the wavefunction is ψ(x) ∝ e^(−κx) (evanescent decay, no oscillation). The "impossible measurement" paper (arXiv:2311.13644v2) concerns nonlocal joint measurements in QFT producing superluminal signaling if naively defined — a consistency constraint, not a tunneling rate. | CONNECTION: No geometric-harmony constants (0.382, 0.618, 0.786, 1.618, 2.618) appear in the tunneling equations. The only structural ratios are E/V₀ (energy fracti Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com