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
- Andrew Stewart Caldin
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