Quantum Tunneling and Non-Ideal Measurements in QFT: Wavefunction Decay and Signaling Constraints — E8 Intelligence Research

Abstract

FINDING: Quantum tunneling is a wave-mechanical penetration through classically forbidden barriers, governed by exponential decay of the wavefunction; "impossible" quantum measurements in QFT are possible but non-ideal, with signaling constraints. MATH: Tunneling probability \( T \approx e^{-2\kappa L} \), where \( \kappa = \sqrt{2m(V_0 - E)}/\hbar \); for rectangular barrier, \( T = \frac{1}{1 + \frac{V_0^2}{4E(V_0-E)} \sinh^2(\kappa L)} \). In QFT, impossible measurements arise from spacelike-separated signaling; non-ideal measurements avoid this via finite resolution or weak coupling. CONNECTION: No explicit geometric harmony ratios (0.382, 0.618, etc.) or base-60, crystallographic symmetries, or root systems appear in these findings. The exponential decay factor \( \kappa L \) is a dimensionless product, but no golden ratio or lattice structure emerges. DEPTH: 3 — Standard quantum tunneling formalism is well-established; the QFT measurement result is a refinement of known con Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com