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: Received: 13 July 2023 / Approved: 17 July 2023 / Online: 17 July 2023 (05:04:25 CEST)
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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. Preprints2023, 2023071051. https://doi.org/10.20944/preprints202307.1051.v4
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.v4
Gibbons, M. Net Energy Gain from a Berry Geometrical Phase: Low-Energy Perturbations of the Strong Interaction and the QCD Mass Gap. Preprints2023, 2023071051. https://doi.org/10.20944/preprints202307.1051.v4
APA Style
Gibbons, M. (2023). Net Energy Gain from a Berry Geometrical Phase: Low-Energy Perturbations of the Strong Interaction and the QCD Mass Gap. Preprints. https://doi.org/10.20944/preprints202307.1051.v4
Chicago/Turabian Style
Gibbons, M. 2023 "Net Energy Gain from a Berry Geometrical Phase: Low-Energy Perturbations of the Strong Interaction and the QCD Mass Gap" Preprints. https://doi.org/10.20944/preprints202307.1051.v4
Abstract
Berry curvature is deemed responsible for generating mechanical work in a strongly metastable system containing dynamically responsive clathrate hydrate structures within a crystal-fluid material. High energy degeneracy in the associated chemistry produces local stability and false vacuum conditions that lead to non-extensive and non-additive contributions in the fundamental thermodynamic relation. The reciprocating action of a piston expander also confirms a net energy gain despite the crystal-fluid material maintaining almost constant density. Hyperbolic curvature produces non-extensive volume changes attributed to gluon emission and absorption 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 apparent across these three domains providing evidence for scale-invariance that dominates both the macro- and micro-scales of an associated Ginzburg-Landau superconducting phase transition. External pressure perturbations of the low-energy system initiate ‘rolling’ critical responses that conserve energy and momentum across the synchronized U(2) group and also reveal an emergent gauge field. Corresponding emergence of the Ginzburg-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 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; scale- and gauge-invariance; hyperbolic curvature; false vacuum; QCD mass gap
Subject
Physical Sciences, Particle and Field Physics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Commenter: Mark Gibbons
Commenter's Conflict of Interests: Author