GQR 7: Tunnelling Rates, Speeds, and Flux
Dynamics
Mapping Quantum Mechanics to the Gated Resonator Grammar

James R F SUTTON

doi:10.26434/chemrxiv-2025-8hm75

Theoretical and Computational Chemistry

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GQR 7: Tunnelling Rates, Speeds, and Flux Dynamics Mapping Quantum Mechanics to the Gated Resonator Grammar

14 October 2025, Version 1

Working Paper

James R F SUTTON

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This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.

Abstract

GQR 7: Tunnelling Rates, Speeds, and Flux Dynamics The Gated Quantum Resonator (GQR) framework is introduced to formalize deviations from textbook quantum-mechanical (QM) tunnelling relations. GQR maps the classical exponential decay law to a dynamic band of rates by incorporating aperture control, field coupling, and coherence feedback. Numerical sweeps (Amp = 0–3) for electrons and protons demonstrate that this coherent gating mechanism can yield order-of-magnitude rate increases in the enzymatic tunnelling window (0.8–1.2 Å). This shows that GQR can provide both suppression and enhancement to tunnelling rates.

Keywords

Electron transfer

Proton-coupled electron transfer (PCET)

Vibronic coupling

Coherence and decoherence

Non-Arrhenius kinetics

Environment-assisted quantum transport (ENAQT)

Ultraweak photon emission (UPE)

Quantum biology

Plasma catalysis

Gated Quantum Resonator (GQR).

Quantum tunneling

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GQR has advanced ! We outgrew the lovely TLC of chemRxiv and have flown the nest manuscripts 12-29 are now live in the GQR community hub here: https://zenodo.org/communities/gqr/records and our community github site is under construction, here: https://github.com/jamessutton600613-png/GQR

James R. F. Sutton1,2,3,4,5,6 1Department of Immunology, University of California, San Francisco (UCSF), USA 2Department of Pathology, University of Cambridge, UK 3Windeyer Institute of Medical Sciences, University College London, UK 4Department of Immunology, Imperial College London, Hammersmith Hospital, UK 5Department of Immunology, Lund Universitet, Sweden 6Multidisciplinary Research Network, University of Bristol, UK

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Oct 14, 2025 Version 1

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The content is available under CC BY NC 4.0

DOI

10.26434/chemrxiv-2025-8hm75

Author’s competing interest statement

The author(s) have declared they have no conflict of interest with regard to this content

Ethics

The author(s) have declared ethics committee/IRB approval is not relevant to this content