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Springer eBooks

Anatomy of Quantum Tunneling

Neil Turok

Published Sep 12, 2013• 1 citation
Publisher
DOI
10.1007/978-88-470-5217-8_23

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Threshold to brain quantum coherence

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Abstract Amongst brain structures, we identified a virtual void at the juxta– and paranode, within the intraperiod myelin layers, V IMI , as potential candidate for quantum near-ideal topological insulation. The insulation was extensively weighed here according to current findings. Values of biological and physical boundaries must be exact and a single missing/inexact element defining the anatomy, physiology, biochemistry, cytology, histology, and nano, leads to inaccurate boundaries/quantum equations of the myelin system. We determined the threshold of quantum coherence to decoherence. A propagating internodal electromagnetic interaction through the V IMI void can be represented via Hamiltonian and entanglement. We tested three potential mechanisms for ion K + data storage. 1. Quantum tunneling through a dielectric, i.e . single myelin layer. 2. Quantum tunneling through squeezing void, V IMI . The action potential is accompanied by mechanical axonal waves and myelin layers compression. Compression reduces the WKB action, and exponentially increases in transmission-tunneling probability. Resonance tunneling may add orders-of-magnitude boosts. 3. Classical squeezing passage. Quantum coherence, tunneling (1) and (2) are theoretically valid and testable, (1) at highly restricted parameter threshold. Unlike quantum tunneling, classical physic passage does not allow fine voltage-controlled metering, sorting, organizing the data storage, later rendering the retrieving impossible.

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The Holographic Circlette: Part 24. Discrete Tunnelling, the Hartman Effect, and the Golden Saturation on the 4.8.8 Lattice

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The Hartman eectthe saturation of quantum tunnelling group delay with bar- rier thicknesshas been observed experimentally in photonic, acoustic, and atomic systems but remains without a rst-principles geometric explanation. We derive the Hartman eect natively from the spectral anatomy of the C4 gauge bridge on the 4.8.8 Archimedean lattice, extending the continuous-discrete interface results of Part 21. Six theorems are established. The Chebyshev transfer matrix across iterated C4 bridges yields hyperbolic saturation in the stop band, providing the exact discrete origin of the tanh(κL) dependence observed by Longhi et al. in bre Bragg gratings. The C4 resolvent gives Winful's stored-energy cavity interpreta- tion a rigorous topological foundation. The Hybrid Form Factor factorisation man- dates a bipartite separation of tunnelling time into interface and bulk components, matching the universal separable structure reported in recent weak-measurement experiments. The saturated Hartman delay deep inside the bandgap evaluates to exactly 6 algorithmic clock ticks (in units of Λ−1 QCD), an exact integer arising from the cancellation of irrational golden-ratio eigenvalues on the path graph P4. This identies the low-energy tunnelling delay as the o-shell tail of the ρ(770) resonance, unifying quantum tunnelling with the vector meson sector. A parameter-free pre- diction is derived: group delay divergences at the silver ratio band edges δ±n S /4, with successive divergence energies in the dimensionless ratio δ2 S = 3 + 2√2 ≈5.83. 2026-06-20 legacy canon revision: This is a canon-reconciled legacy version. Older part-series note; needs canon alignment The paper retains its historical derivation trail but carries a 2026-06-20 canon revision note identifying current status and superseded claims.

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The Anatomy of Fractional Quantum Hall States

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Quantum Tunneling and Reflection

WORLD SCIENTIFIC eBooks•Sep 25, 2025•0 citations
Abstract Amongst brain structures, we identified a virtual void at the juxta– and paranode, within the intraperiod myelin layers, V IMI , as potential candidate for quantum near-ideal topological insulation. The insulation was extensively weighed here according to current findings. Values of biological and physical boundaries must be exact and a single missing/inexact element defining the anatomy, physiology, biochemistry, cytology, histology, and nano, leads to inaccurate boundaries/quantum equations of the myelin system. We determined the threshold of quantum coherence to decoherence. A propagating internodal electromagnetic interaction through the V IMI void can be represented via Hamiltonian and entanglement. We tested three potential mechanisms for ion K + data storage. 1. Quantum tunneling through a dielectric, i.e . single myelin layer. 2. Quantum tunneling through squeezing void, V IMI . The action potential is accompanied by mechanical axonal waves and myelin layers compression. Compression reduces the WKB action, and exponentially increases in transmission-tunneling probability. Resonance tunneling may add orders-of-magnitude boosts. 3. Classical squeezing passage. Quantum coherence, tunneling (1) and (2) are theoretically valid and testable, (1) at highly restricted parameter threshold. Unlike quantum tunneling, classical physic passage does not allow fine voltage-controlled metering, sorting, organizing the data storage, later rendering the retrieving impossible.
The Hartman eectthe saturation of quantum tunnelling group delay with bar- rier thicknesshas been observed experimentally in photonic, acoustic, and atomic systems but remains without a rst-principles geometric explanation. We derive the Hartman eect natively from the spectral anatomy of the C4 gauge bridge on the 4.8.8 Archimedean lattice, extending the continuous-discrete interface results of Part 21. Six theorems are established. The Chebyshev transfer matrix across iterated C4 bridges yields hyperbolic saturation in the stop band, providing the exact discrete origin of the tanh(κL) dependence observed by Longhi et al. in bre Bragg gratings. The C4 resolvent gives Winful's stored-energy cavity interpreta- tion a rigorous topological foundation. The Hybrid Form Factor factorisation man- dates a bipartite separation of tunnelling time into interface and bulk components, matching the universal separable structure reported in recent weak-measurement experiments. The saturated Hartman delay deep inside the bandgap evaluates to exactly 6 algorithmic clock ticks (in units of Λ−1 QCD), an exact integer arising from the cancellation of irrational golden-ratio eigenvalues on the path graph P4. This identies the low-energy tunnelling delay as the o-shell tail of the ρ(770) resonance, unifying quantum tunnelling with the vector meson sector. A parameter-free pre- diction is derived: group delay divergences at the silver ratio band edges δ±n S /4, with successive divergence energies in the dimensionless ratio δ2 S = 3 + 2√2 ≈5.83. 2026-06-20 legacy canon revision: This is a canon-reconciled legacy version. Older part-series note; needs canon alignment The paper retains its historical derivation trail but carries a 2026-06-20 canon revision note identifying current status and superseded claims.