Topological Origin of the Mass Gap in Topological Gauge Duality D; Exploring the Universality of the Three-Criteria Framework
Fuente:
Zenodo
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Recurso digital |
| Publicado: |
Zenodo
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866901517686013952 |
|---|---|
| author | zhou, changzheng zhou, ziqing |
| author_facet | zhou, changzheng zhou, ziqing |
| contents | <p>This paper explores the applicability of the three-criteria framework—Structural<br>Stability (S), Informational Efficiency (E), and Dynamical Accessibility (D)—<br>which emerged from the study of topological quantum matter, to broader foun<br>dational problems in physics. We take the renowned “mass gap” problem in Yang<br>Mills theory (e.g., Quantum Chromodynamics) as a testing case, systematically<br>establishing the physical correspondences and operational definitions of the three<br>criteria within the context of gauge field theory. The argument shows that this<br>framework provides a unified and physically intuitive conceptual lens for under<br>standing the origin of the mass gap: the existence of a mass gap corresponds to the<br>satisfaction of the S criterion; the ratio of redundancy introduced by gauge symme<br>try to physical degrees of freedom is linked to the E criterion; and the preparation<br>and evolution of the vacuum state map onto the D criterion. Through this map<br>ping, we transform the abstract mathematical existence problem into a testable<br>formulation based on principles of physical emergence, and explore the theoretical<br>value of this perspective for understanding non-perturbative gauge field theory and<br>bridging the conceptual languages of condensed matter and high-energy physics.<br>This paper does not claim to provide a final mathematical proof for the mass gap<br>problem but aims to demonstrate the potential of a unified conceptual framework<br>in organizing deep physical insights.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17905562 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Topological Origin of the Mass Gap in Topological Gauge Duality D; Exploring the Universality of the Three-Criteria Framework zhou, changzheng zhou, ziqing Emergence criteria; Yang-Mills theory; Mass gap problem; Gauge symmetry; Non-perturbative phenomena; Quantum field theory; Topological order; Unified physics framework <p>This paper explores the applicability of the three-criteria framework—Structural<br>Stability (S), Informational Efficiency (E), and Dynamical Accessibility (D)—<br>which emerged from the study of topological quantum matter, to broader foun<br>dational problems in physics. We take the renowned “mass gap” problem in Yang<br>Mills theory (e.g., Quantum Chromodynamics) as a testing case, systematically<br>establishing the physical correspondences and operational definitions of the three<br>criteria within the context of gauge field theory. The argument shows that this<br>framework provides a unified and physically intuitive conceptual lens for under<br>standing the origin of the mass gap: the existence of a mass gap corresponds to the<br>satisfaction of the S criterion; the ratio of redundancy introduced by gauge symme<br>try to physical degrees of freedom is linked to the E criterion; and the preparation<br>and evolution of the vacuum state map onto the D criterion. Through this map<br>ping, we transform the abstract mathematical existence problem into a testable<br>formulation based on principles of physical emergence, and explore the theoretical<br>value of this perspective for understanding non-perturbative gauge field theory and<br>bridging the conceptual languages of condensed matter and high-energy physics.<br>This paper does not claim to provide a final mathematical proof for the mass gap<br>problem but aims to demonstrate the potential of a unified conceptual framework<br>in organizing deep physical insights.</p> |
| title | Topological Origin of the Mass Gap in Topological Gauge Duality D; Exploring the Universality of the Three-Criteria Framework |
| topic | Emergence criteria; Yang-Mills theory; Mass gap problem; Gauge symmetry; Non-perturbative phenomena; Quantum field theory; Topological order; Unified physics framework |
| url | https://doi.org/10.5281/zenodo.17905562 |