Quantum Tunneling Limits on Joint Nonlocal Quantum Measurements — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
FINDING: Quantum tunneling is a wave-mechanical penetration of finite potential barriers, with a transmission coefficient exponentially suppressed by barrier width and height; "impossible" QFT measurements are possible but non-ideal, revealing fundamental limits on joint nonlocal observables. MATH: Transmission coefficient T ≈ e−2κ L, where κ = √(2m(V0−E))/ℏ. For a rectangular barrier: T = [1 + (V02 sinh2(κ L))/(4E(V0−E))]−1. In the semiclassical (WKB) limit: T ≈ exp(−2/ℏ∫x1x2 √(2m(V(x)−E)) dx). The "impossible measurement" result (arXiv:2311.13644) shows that ideal joint nonlocal measurements in non-relativistic QM would violate no-signaling; only approximate (non-ideal) measurements are consistent, with error bounds scaling as ϵ ∼ ℏ / Δ t for spacelike separations. CONNECTION: The exponential decay e−2κ L is structurally identica
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 on Joint Nonlocal Quantum Measurements — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23553648},
url = {https://zenodo.org/records/23553648},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Quantum Tunneling Limits on Joint Nonlocal Quantum Measurements — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/22
PB - Zenodo
DO - 10.5281/zenodo.23553648
UR - https://zenodo.org/records/23553648
AB - FINDING: Quantum tunneling is a wave-mechanical penetration of finite potential barriers, with a transmission coefficient exponentially suppressed by barrier width and height; "impossible" QFT measurements are possible but non-ideal, revealing fundamental limits on joint nonlocal observables. MATH: Transmission coefficient T ≈ e^−2κ L, where κ = √(2m(V_0−E))/ℏ. For a rectangular barrier: T = [1 + (V_0^2 sinh^2(κ L))/(4E(V_0−E))]^−1. In the semiclassical (WKB) limit: T ≈ exp(−2/ℏ∫_x_1^x_2 √(2m(V(x)−E)) dx). The "impossible measurement" result (arXiv:2311.13644) shows that ideal joint nonlocal measurements in non-relativistic QM would violate no-signaling; only approximate (non-ideal) measurements are consistent, with error bounds scaling as ϵ ∼ ℏ / Δ t for spacelike separations. CONNECTION: The exponential decay e^−2κ L is structurally identica Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -