Quantum Tunneling Limits Measurement Locality via Non-Ideal Barrier Penetration — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
FINDING: Quantum tunneling is a wave-mechanical penetration of finite potential barriers, with recent QFT work showing "impossible" measurements are possible but non-ideal, revealing a fundamental limit on measurement locality.
MATH: - Tunneling transmission coefficient (WKB approximation): T ≈ e−2γ, where γ = 1/ℏ∫x1x2 √(2m(V(x)−E)) dx — exponential decay in barrier width. - For a rectangular barrier of height V0 and width a: T = [ 1 + (V02 sinh2(κ a))/(4E(V0−E)) ]−1, with κ = √(2m(V0−E))/ℏ. - QFT impossibility result (arXiv:2311.13644): nonlocal joint measurements in non-relativistic QM produce superluminal signaling unless the measurement is "ideal" (projective, with vanishing variance in the measured observable). The mathematical constraint is that the measurement operator must commute with all spacelike-separated observables — a condition that fails
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Related
- Quantum Tunneling: Exponential Barrier Penetration and Non-Ideal Measurements in QFT — E8 Intelligence Research
- Langlands-Prime Resonance Invariance in E8 Quantum Tunneling — E8 Intelligence Research
- Absence of Novel Geometric Ratios in Bell Non-Locality Search Results — E8 Intelligence Research
- Unifying Entanglement and Bell Tests via Generalized Non-Locality Rules — E8 Intelligence Research
- E8 Quantum Tunneling Rates Sync with φ-Resonant Lattice Frequencies — E8 Intelligence Research
BibTeX
@misc{caldin2026quantum,
title = {{Quantum Tunneling Limits Measurement Locality via Non-Ideal Barrier Penetration — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23465152},
url = {https://zenodo.org/records/23465152},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Quantum Tunneling Limits Measurement Locality via Non-Ideal Barrier Penetration — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/19
PB - Zenodo
DO - 10.5281/zenodo.23465152
UR - https://zenodo.org/records/23465152
AB - FINDING: Quantum tunneling is a wave-mechanical penetration of finite potential barriers, with recent QFT work showing "impossible" measurements are possible but non-ideal, revealing a fundamental limit on measurement locality. MATH: - Tunneling transmission coefficient (WKB approximation): T ≈ e^−2γ, where γ = 1/ℏ∫_x_1^x_2 √(2m(V(x)−E)) dx — exponential decay in barrier width. - For a rectangular barrier of height V_0 and width a: T = [ 1 + (V_0^2 sinh^2(κ a))/(4E(V_0−E)) ]^−1, with κ = √(2m(V_0−E))/ℏ. - QFT impossibility result (arXiv:2311.13644): nonlocal joint measurements in non-relativistic QM produce superluminal signaling unless the measurement is "ideal" (projective, with vanishing variance in the measured observable). The mathematical constraint is that the measurement operator must commute with all spacelike-separated observables — a condition that fails Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -