MERLIN SCIENCE — Quantum Tunneling and the Limits of Nonlocal Measurements in QFT — E8 Intelligence Research

Quantum tunneling is transmission through a classically forbidden region, governed by exponential decay of the wavefunction, and in quantum field theory, the supposedly impossible nonlocal measurements are realizable only as non-ideal operations, revealing a hard limit on joint observables. That is the finding in one sentence. The context is this: for decades, we have treated tunneling as textbook quantum mechanics, and nonlocal measurements as either forbidden or trivial. But the two problems meet at a deeper junction. In relativistic QFT, the algebra of observables in spacelike-separated regions is a type III von Neumann factor. That means there is no tensor product decomposition into local subsystems, and ideal joint measurements across such regions are not just difficult — they are mathematically inconsistent with causality. The recent result, archived as arXiv:2311.13644, makes this precise. Here is the mechanism, at a level you can check. For a rectangular barrier, the transmis Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com