Quantum Tunneling: Exponential Barrier Penetration and Non-Ideal QFT Measurements — E8 Intelligence Research

FINDING: Quantum tunneling is a wave-mechanical transmission through classically forbidden barriers, governed by exponential decay of the wavefunction inside the barrier; "impossible" QFT measurements are possible but non-ideal, with signaling constraints. | MATH: Transmission coefficient \(T ≈ e-2κ L\), where \(κ = √2m(V_0-E)/\); barrier penetration depth \(δ = 1/κ = /√2m(V_0-E)\). For a rectangular barrier, exact \(T = [1 + V_0^2 ^2(κ L)/4E(V_0-E)]⁻¹\). In the WKB limit, \(T ~ exp(-2/∫x_1x_2√2m(V(x)-E)\,dx)\). | CONNECTION: The exponential decay constant \(κ\) is a pure inverse length; the ratio of transmitted to incident amplitude involves \((κ L)\), which for large \(κ L\) approaches \(eκ L/2\) — yielding the golden-ratio-adjacent asymptotic \(T ∝ (eκ L/2)⁻² = 4e-2κ L\). No direct 0.618/1.618 ratio emerges from the b Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com