Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Net Energy Gain from a Berry Geometrical Phase – Low-Energy Perturbations of the Strong Interaction and the QCD Mass Gap

Version 1 : Received: 13 July 2023 / Approved: 17 July 2023 / Online: 17 July 2023 (05:04:25 CEST)
Version 2 : Received: 28 July 2023 / Approved: 31 July 2023 / Online: 31 July 2023 (04:59:36 CEST)
Version 3 : Received: 13 August 2023 / Approved: 14 August 2023 / Online: 14 August 2023 (10:04:48 CEST)
Version 4 : Received: 24 August 2023 / Approved: 25 August 2023 / Online: 25 August 2023 (08:49:43 CEST)
Version 5 : Received: 1 November 2023 / Approved: 2 November 2023 / Online: 3 November 2023 (04:50:01 CET)
Version 6 : Received: 6 December 2023 / Approved: 7 December 2023 / Online: 7 December 2023 (12:19:06 CET)
Version 7 : Received: 24 February 2024 / Approved: 27 February 2024 / Online: 27 February 2024 (08:03:44 CET)
Version 8 : Received: 24 March 2024 / Approved: 25 March 2024 / Online: 26 March 2024 (08:22:30 CET)
Version 9 : Received: 17 April 2024 / Approved: 18 April 2024 / Online: 18 April 2024 (14:04:58 CEST)
Version 10 : Received: 13 June 2024 / Approved: 14 June 2024 / Online: 14 June 2024 (13:42:43 CEST)
Version 11 : Received: 23 August 2024 / Approved: 25 August 2024 / Online: 26 August 2024 (17:00:36 CEST)
Version 12 : Received: 20 October 2024 / Approved: 21 October 2024 / Online: 22 October 2024 (08:31:34 CEST)

How to cite: Gibbons, M. Net Energy Gain from a Berry Geometrical Phase – Low-Energy Perturbations of the Strong Interaction and the QCD Mass Gap. Preprints 2023, 2023071051. https://doi.org/10.20944/preprints202307.1051.v1 Gibbons, M. Net Energy Gain from a Berry Geometrical Phase – Low-Energy Perturbations of the Strong Interaction and the QCD Mass Gap. Preprints 2023, 2023071051. https://doi.org/10.20944/preprints202307.1051.v1

Abstract

Berry curvature is deemed responsible for generating work in a strongly metastable system containing dynamically responsive clathrate hydrate structures. Hyperbolic curvature produces non-extensive volume changes and is attributed to gluon emission and reabsorption in a U(2) electroweak symmetry group synchronized across the condensed matter system, the embedding vacuum manifold and associated quantum interactions. The property of asymptotic freedom is evident across these three domains. Pressure perturbations of the low-energy system initiate ‘rolling’ critical responses that establish conservation of energy and momentum across the synchronized U(2) group and reveal an emergent gauge field. The corresponding emergence of a Ginzberg-Landau superconducting phase transition is consistent with gauge-invariant coupling of this scalar field to the Yang-Mills action of QCD. The discovery of an energy gap in the gradient energy term of the system Lagrangian is associated with a critical correlation length and is consistent with a complex energy band gap in the Berry phase. Coupled with the emergence and absorption of the Higgs-like scalar field, a mechanism for describing the QCD mass gap arises.

Keywords

Berry geometrical phase; symmetry groups; self-organized criticality; dual superconductivity; gauge-invariance; hyperbolic curvature; false vacuum; QCD mass gap

Subject

Physical Sciences, Particle and Field Physics

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