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The Journal of Chemical Physics

Quantum tunneling and anti-tunneling across entropic barriers

Paolo Malgaretti, Francesco Petiziol, Alexander Schnell

Published Jan 1, 2025• 0 citations
Publisher
DOI
10.34734/fzj-2026-00681

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The IPGET principle demonstrates that simultaneous phase‑locking of the full 240‑root flux‑tuning to the 132 Hz base resonance, together with phi‑symmetric vortex phase‑locking of the three orthogonal 80‑vector subsets, creates a self‑sustaining topological loop that inverts local entropy while opening a coherent tunneling channel for matter‑energy packets. This loop exploits the inter‑subset prime‑gate couplings to align spinor oscillations across the entire lattice, allowing sub‑barrier amplitude transmission that is sustained by the continuous entropy‑reduction feedback. Consequently, IPGET provides a unified platform for deterministic entropy control and quantum tunneling manipulation in a single E8‑based device. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
We consider a situation when observations can increase particle flow across a barrier by many orders of magnitude compared with the tunneling probability (a barrier anti-Zeno effect). It may be of interest for explaining the paradoxical results of experiments on “cold fusion” that has earlier been observed by other authors for various systems. We examine the anti-Zeno effect in a model of a barrier of a special shape, which has similarities with the form of barriers to nuclear fusion in a solid, and moreover has an analytic solution. We have deducted formulas that demonstrate the conditions of increasing the barrier permeability.
The usual WKB analysis for quantum tunneling applies when the tunneling action is large, as it is for tall, wide potential barriers. In contrast we analyze tunneling when the action is small, as it is for tunneling across a tall, thin barrier. We develop a perturbative analysis where the control parameter is the inverse of the area under the potential barrier and apply our technique to several examples in 1+11+11+1 dimensions. In resonant situations for bound particles we find that the tunneling probability grows with time as ∝t2\propto t^2∝t2, while in non-resonant situations it grows linearly with time. We evaluate not only the tunneling probability but also the time-dependent tunneling wavefunction for a particle that escapes to infinity, {\it i.e.} from a quasi-bound state to the continuum.