Quantum Tunneling Enables Non-Ideal Relativistic Measurements — E8 Intelligence Research

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Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-17
DOI
https://doi.org/10.5281/zenodo.22806066
Primary Topic
Quantum Mechanics and Applications
Type
preprint
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preprint

Quantum Tunneling Enables Non-Ideal Relativistic Measurements — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Applications
preprint

Quantum Tunneling Enables Non-Ideal Relativistic Measurements — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: Quantum tunneling is a wave-mechanical penetration of finite potential barriers, governed by exponential decay of the wavefunction inside the barrier; "impossible" relativistic measurements are shown to be possible but non-ideal, revealing a fundamental constraint on measurement theory. | MATH: Transmission coefficient \(T \approx e^{-2\kappa L}\) where \(\kappa = \sqrt{2m(V_0-E)}/\hbar\); barrier penetration probability \(P \propto e^{-2\int \kappa(x)dx}\); for rectangular barrier, \(T = [1 + \frac{V_0^2 \sinh^2(\kappa L)}{4E(V_0-E)}]^{-1}\). The QFT impossibility result (arXiv:2311.13644) shows naive nonlocal joint measurements violate microcausality, but a modified measurement yields signaling-free outcomes with a trade-off in ideality — formalized via operator algebra constraints. | CONNECTION: The exponential decay \(e^{-2\kappa L}\) is a natural logarithmic spiral decay — the ratio of successive barrier widths for equal transmission probability is \(e^{2\kappa \Delta L}\ Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Applications
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Quantum Tunneling Enables Non-Ideal Relativistic Measurements — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS