Mesons and Tetraquarks as Topological Strings: Geometric Unification in QCD Phase Transitions

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Auteur principal: Valeri Vukolov
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Publié: Zenodo 2025
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author Valeri Vukolov
author_facet Valeri Vukolov
contents <p>We present a geometric model of mesons and tetraquarks as topological strings emerging from curvature dynamics in quantum chromodynamics. Mesons correspond to closed strings (S1) with quark-antiquark singularities, while tetraquarks form knotted vortex configurations stabilized by non-local torsion. Key results:</p> <p>(1) Mass-radius relation m = σL + ℏcRp⟨K⟩,</p> <p>(2) Exotic state classification via knot polynomials,<br>(3) Predictive decay patterns from critical curvature κcrit = 2πmπ c/ℏ.</p> <p>Experimental verification through<br>quantum simulation shows 89% fidelity for π+ and 87% for Zc(3900).</p>
format Recurso digital
id zenodo_https___doi_org_10_5281_zenodo_16747896
institution Zenodo
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publishDate 2025
publisher Zenodo
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spellingShingle Mesons and Tetraquarks as Topological Strings: Geometric Unification in QCD Phase Transitions
Valeri Vukolov
Quantum Chromodynamics (QCD), topological strings, mesons, tetraquarks, geometric unification, curvature dynamics, quark singularities, knot topology, torsion stabilization, mass-radius relation, knot polynomials, critical curvature, exotic hadrons, decay patterns, quantum simulation, flux tubes, topological excitations, phase transitions, QCD vacuum, non-local torsion, exotic state classification, LHCb, pentaquarks
<p>We present a geometric model of mesons and tetraquarks as topological strings emerging from curvature dynamics in quantum chromodynamics. Mesons correspond to closed strings (S1) with quark-antiquark singularities, while tetraquarks form knotted vortex configurations stabilized by non-local torsion. Key results:</p> <p>(1) Mass-radius relation m = σL + ℏcRp⟨K⟩,</p> <p>(2) Exotic state classification via knot polynomials,<br>(3) Predictive decay patterns from critical curvature κcrit = 2πmπ c/ℏ.</p> <p>Experimental verification through<br>quantum simulation shows 89% fidelity for π+ and 87% for Zc(3900).</p>
title Mesons and Tetraquarks as Topological Strings: Geometric Unification in QCD Phase Transitions
topic Quantum Chromodynamics (QCD), topological strings, mesons, tetraquarks, geometric unification, curvature dynamics, quark singularities, knot topology, torsion stabilization, mass-radius relation, knot polynomials, critical curvature, exotic hadrons, decay patterns, quantum simulation, flux tubes, topological excitations, phase transitions, QCD vacuum, non-local torsion, exotic state classification, LHCb, pentaquarks
url https://doi.org/10.5281/zenodo.16747896