Quantum Tunneling: Exponential Barrier Penetration and Non-Ideal Measurements in QFT — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
FINDING: Quantum tunneling is a wave-mechanical penetration of finite potential barriers, with the transmission probability governed by exponential decay of the wavefunction inside the barrier; recent QFT work shows "impossible" measurements are mathematically possible but non-ideal. | MATH: Transmission coefficient T ≈ e−2κ L for rectangular barrier, where κ = √(2m(V0−E))/ℏ; decay length δ = 1/κ = ℏ/√(2m(V0−E)). For arbitrary barrier V(x), WKB approximation: T ≈ exp(−2∫x1x2 √(2m(V(x)−E))/ℏ dx). QFT impossibility result: signaling-free measurement operators exist but violate ideal measurement axioms (non-projective, non-local smearing). | CONNECTION: The exponential decay factor e−2κ L is structurally identical to the golden-ratio-related decay in Fibonacci-like recursive barrier stacks — for N identical barriers, transmission resonances occur when kL = nπ, a
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Related
- Quantum Tunneling Limits Measurement Locality via Non-Ideal Barrier Penetration — E8 Intelligence Research
- Quantum Tunneling: Exponential Decay and Nonlocality, Not Fundamental Ban — E8 Intelligence Research
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- Quantum Tunneling Limits on Joint Nonlocal Quantum Measurements — E8 Intelligence Research
- Langlands-Prime Resonance Invariance in E8 Quantum Tunneling — E8 Intelligence Research
BibTeX
@misc{caldin2026quantum,
title = {{Quantum Tunneling: Exponential Barrier Penetration and Non-Ideal Measurements in QFT — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23431202},
url = {https://zenodo.org/records/23431202},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Quantum Tunneling: Exponential Barrier Penetration and Non-Ideal Measurements in QFT — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/17
PB - Zenodo
DO - 10.5281/zenodo.23431202
UR - https://zenodo.org/records/23431202
AB - FINDING: Quantum tunneling is a wave-mechanical penetration of finite potential barriers, with the transmission probability governed by exponential decay of the wavefunction inside the barrier; recent QFT work shows "impossible" measurements are mathematically possible but non-ideal. | MATH: Transmission coefficient T ≈ e^−2κ L for rectangular barrier, where κ = √(2m(V_0−E))/ℏ; decay length δ = 1/κ = ℏ/√(2m(V_0−E)). For arbitrary barrier V(x), WKB approximation: T ≈ exp(−2∫_x_1^x_2 √(2m(V(x)−E))/ℏ dx). QFT impossibility result: signaling-free measurement operators exist but violate ideal measurement axioms (non-projective, non-local smearing). | CONNECTION: The exponential decay factor e^−2κ L is structurally identical to the golden-ratio-related decay in Fibonacci-like recursive barrier stacks — for N identical barriers, transmission resonances occur when kL = nπ, a Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -