Quantum Tunneling Resolves Relativity–Measurement Conflict via Non-Ideal QFT Measurements — E8 Intelligence Research

FINDING: Quantum tunneling is a wave-mechanical transmission phenomenon through classically forbidden potential barriers; "impossible" QFT measurements are shown to be possible but non-ideal, resolving a relativity–measurement conflict. | MATH: Transmission coefficient for rectangular barrier: T ≈ 16·(E/V₀)(1−E/V₀)·exp(−2κL), where κ = √(2m(V₀−E))/ℏ. For E < V₀, T decays exponentially with barrier width L. WKB: T ≈ exp(−2∫√(2m(V(x)−E))/ℏ dx). | CONNECTION: Exponential decay exp(−2κL) is a pure real-exponential, not a golden-ratio or Fibonacci form; no 0.618/1.618 scaling appears in the tunneling amplitude itself. However, the barrier problem is a boundary-value problem on a 1D lattice with piecewise-constant potential — its eigenstructure connects to transfer-matrix methods whose eigenvalues for periodic barriers (Kronig–Penney) form band structures with gaps set by cos(kd) = cos(κd) relations, i.e., crystallographic/Bloch symmetry. No base-60 or root-system signature is present in the Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-27
DOI
https://doi.org/10.5281/zenodo.23683765
Primary Topic
Quantum Mechanics and Applications
Type
preprint
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Quantum Tunneling Resolves Relativity–Measurement Conflict via Non-Ideal QFT Measurements — E8 Intelligence Research

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

Quantum Tunneling Resolves Relativity–Measurement Conflict via Non-Ideal QFT Measurements — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: Quantum tunneling is a wave-mechanical transmission phenomenon through classically forbidden potential barriers; "impossible" QFT measurements are shown to be possible but non-ideal, resolving a relativity–measurement conflict. | MATH: Transmission coefficient for rectangular barrier: T ≈ 16·(E/V₀)(1−E/V₀)·exp(−2κL), where κ = √(2m(V₀−E))/ℏ. For E < V₀, T decays exponentially with barrier width L. WKB: T ≈ exp(−2∫√(2m(V(x)−E))/ℏ dx). | CONNECTION: Exponential decay exp(−2κL) is a pure real-exponential, not a golden-ratio or Fibonacci form; no 0.618/1.618 scaling appears in the tunneling amplitude itself. However, the barrier problem is a boundary-value problem on a 1D lattice with piecewise-constant potential — its eigenstructure connects to transfer-matrix methods whose eigenvalues for periodic barriers (Kronig–Penney) form band structures with gaps set by cos(kd) = cos(κd) relations, i.e., crystallographic/Bloch symmetry. No base-60 or root-system signature is present in the 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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