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(GQR58) GQR/QGE Programme Appraisal Report OPERATION QUANTUM HARMONY Gated Quantum Resonator (GQR) Programme A geometry-driven framework spanning catalytic, quantum transport, and selection systems

JAMES SUTTON

Published Mar 26, 2026• 0 citations
Publisher

Abstract

This document is the first consolidated quarterly technical report of the GQR/QGE programme,covering initial development from Q3–Q4 2025 through Q1 2026.The programme is not presented as a single-domain theory, but as a multi-branch technicalframework with three primary application arms:• catalytic and pharmaceutical systems (enzyme dynamics, PSII, transport beyondArrhenius–Marcus),• quantum and materials systems (noncommuting transport, AFC memory, coherenceengineering),• selection and biological systems (ordering-driven emergence, immunological selection,GC-arc).Across these domains, a common invariant structure is developed: admissibility constraints,ordering-dependent dynamics, phase organisation, and discrete stability manifolds.The purpose of this report is to document the retained technical spine of the programme,separate it from exploratory or softened elements, and establish a basis for validation, collabo-ration, and further development.Author: James SuttonLocation: BristolAffiliation: Independent research programme (GQR/QGE)Document type: quarterly technical progress reportCoverage: Q3–Q4 2025 and Q1 2026Status: version-controlled working draftDate: March 26, 2026This document is intended for technical appraisal, collaboration, and investment-level review.

DOI
10.5281/zenodo.19240289

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Structured behaviour in systems governed by competing dynamicalprocesses remains poorly understood, particularly when the underlyingupdates do not commute. Here we introduce a minimal geometry-gatedframework in which local transformations are filtered by an accessibilityfunctional defined over a spatial manifold.This simple selection rule produces states exhibiting simultaneous spa-tial ordering and global phase coherence, together with a discrete ladder-like organisation in spectral space. Across parameter space, the dynamicspartition into quantised branches characterised by commensurability con-straints and structured defect formation.Analysis reveals that these behaviours are governed by a hierarchyof emergent laws: an intrinsic branch-dependent stability landscape anda mismatch-driven defect contribution that scales with geometric incom-mensurability. Transitions between branches exhibit hysteresis, indicatingpath-dependent selection and effective dynamical memory.These results demonstrate that geometry-conditioned accessibility aloneis sufficient to generate quantisation, selection, and memory in noncom-mutative systems. The framework connects naturally to geometric phase,Floquet dynamics, and commensurability phenomena, and suggests a min-imal route to hierarchical organisation across physical and complex sys-tems. Full 70 article programme https://github.com/jamessutton600613-png/GQR/blob/main/Programme_Index.md The programme contains both standalone and self referencing articles. These can all be read as notes in proof of GQR1.
Molecular dynamics (MD) and hybrid quantum–classical (QM/MM) methods provide powerful tools for simulating chemical and biological systems, yet their application to long-timescale, strongly coupled processes remains limited by non-integrability,chaotic sensitivity, and extreme time-scale separation. These limitations motivate complementary formalisms that emphasize structure, constraint, and evidence integration over brute-force trajectory resolution.Here we introduce the Gated Quantum Resonator (GQR) framework, a Bayesian circuit–Hamiltonian formalism in which reactive coordinates are modeled as coupled vibronic–electronic resonators with gateable interactions. Linearization around operating points maps the effective Hamiltonian onto electrical network analogues, enabling transparent parameterization and rapid Bayesian updating from spectroscopicand mechanistic evidence.The framework provides a unified language for describing non-Arrhenius kinetics, coherence-assisted tunnelling, and mode-selective transport in open quantum systems.Without resolving full many-body trajectories, GQR identifies protected dynamical subspaces in which coherent evolution can persist under environmental coupling. This formulation is applicable across enzymatic catalysis, heterogeneous and electrocatalytic systems, and radiative phenomena, offering a tractable complement to conventionalsimulation approaches for hypothesis generation and mechanistic discrimination
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This review offers a Gödel–Escher–Bach style reading of the Gated QuantumResonator (GQR) framework, interpreting the GQR I–XXI manuscript chain asa hierarchy of strange loops in catalysis, coherence, and curvature. Each GQRpaper is recast as a chapter in a recursive “meta-proof system” linking incomplete-ness, Bayesian updating, and circuit–Hamiltonian dynamics. Climate, fusion, andBayesian smart-wall applications are framed as large-scale instances of the samecurvature– information grammar. Full 70 article programme https://github.com/jamessutton600613-png/GQR/blob/main/Programme_Index.md The programme contains both standalone and self referencing articles. These can all be read as notes in proof of GQR1.