Quantum Tunneling Limits and Relativistic Causality in Non-Ideal Measurements — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
FINDING: Quantum tunneling is a wave-mechanical penetration of finite potential barriers, governed by exponential decay of the wavefunction inside the classically forbidden region; recent QFT work shows "impossible" measurements are possible but non-ideal, with relativistic causality constraints.
MATH: - Transmission coefficient for rectangular barrier: T ≈ e−2κ L, where κ = √(2m(V0 − E))/ℏ - Decay constant ratio: κ L (dimensionless action) determines tunneling probability - For arbitrary barriers (WKB): T ≈ exp(−2/ℏ∫x1x2 √(2m(V(x)−E)) dx) - QFT impossibility result: measurement operators must commute with spacelike-separated field operators; non-ideal measurements violate this at O(ℏ) corrections
CONNECTION: - The exponential suppression e−2κ L is structurally identical to the golden-ratio-related decay φ−n (since \( \varphi = e
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026quantum,
title = {{Quantum Tunneling Limits and Relativistic Causality in Non-Ideal Measurements — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23635217},
url = {https://zenodo.org/records/23635217},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Quantum Tunneling Limits and Relativistic Causality in Non-Ideal Measurements — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/25
PB - Zenodo
DO - 10.5281/zenodo.23635217
UR - https://zenodo.org/records/23635217
AB - FINDING: Quantum tunneling is a wave-mechanical penetration of finite potential barriers, governed by exponential decay of the wavefunction inside the classically forbidden region; recent QFT work shows "impossible" measurements are possible but non-ideal, with relativistic causality constraints. MATH: - Transmission coefficient for rectangular barrier: T ≈ e^−2κ L, where κ = √(2m(V_0 − E))/ℏ - Decay constant ratio: κ L (dimensionless action) determines tunneling probability - For arbitrary barriers (WKB): T ≈ exp(−2/ℏ∫_x_1^x_2 √(2m(V(x)−E)) dx) - QFT impossibility result: measurement operators must commute with spacelike-separated field operators; non-ideal measurements violate this at O(ℏ) corrections CONNECTION: - The exponential suppression e^−2κ L is structurally identical to the golden-ratio-related decay φ^−n (since \( \varphi = e Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -