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Entropic Quantum Tunneling.

Hakan ÜNAL

Published Aug 7, 2026• 0 citations
Publisher
DOI
10.5281/zenodo.21837203

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Quantum tunneling governs numerous phenomena in biology, chemistry, physics and technology. Tunneling time, formulated in various different forms due to the absence of a time operator in quantum theory, has been measured recently in experiments based on the attoclock in ultrafast laser ionization of Helium atoms [A.~Landsman {\it et al.}, Optica {\bf 1}, 343 (2014)]. The experiment performs a refined measurement with which no tunneling time formula in the literature exhibits adequate congruence. Here we show that, entropic considerations lead to a real tunneling time which shows remarkable agreement with the experimental data and stays always subluminal. Indeed, with phase space volume setting the number of microstates for a single evanescing particle in a state of definite momentum consistent with energy conservation, one is naturally led to a statistical description for quantum tunneling in which thermal energy sets the tunneling time. This entropic tunneling time is rather general and might also be extended to photon and phonon tunneling phenomena.

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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

•Sep 22, 2026•0 citations
Quantum tunneling governs numerous phenomena in biology, chemistry, physics and technology. Tunneling time, formulated in various different forms due to the absence of a time operator in quantum theory, has been measured recently in experiments based on the attoclock in ultrafast laser ionization of Helium atoms [A.~Landsman {\it et al.}, Optica {\bf 1}, 343 (2014)]. The experiment performs a refined measurement with which no tunneling time formula in the literature exhibits adequate congruence. Here we show that, entropic considerations lead to a real tunneling time which shows remarkable agreement with the experimental data and stays always subluminal. Indeed, with phase space volume setting the number of microstates for a single evanescing particle in a state of definite momentum consistent with energy conservation, one is naturally led to a statistical description for quantum tunneling in which thermal energy sets the tunneling time. This entropic tunneling time is rather general and might also be extended to photon and phonon tunneling phenomena.
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