Rotational and Translational Characteristics of Topological Vortices and Antivortices Based on Perspectives from Loops and Knots (5)

Blogs Literature
Postado 2025-10-20 05:37:44
0
51

5. Conclusion

Based on Topological Vortex Theory, this paper systematically studied the characteristic features of vortices and antivortices in rotational and translational motion, and thoroughly explored their intrinsic relationships with topological structures such as loops and knots. The research shows that differences in the rotational direction of vortices and antivortices can induce rich topological phase transition behaviors, while their translational characteristics can reveal propagation patterns through knot theory. Loops and knots, as important topological invariants, provide key theoretical tools for analyzing the dynamical behaviors of vortex-antivortex pairs. These results not only deepen the theoretical understanding of topological defect dynamics but also lay a theoretical foundation for applied research in related fields such as optical vortices and quantum condensed matter physics.

References

  1. Congy, T., Azam, P., Kaiser, R., & Pavloff, N. (2024). Topological Constraints on the Dynamics of Vortex Formation in a Two-Dimensional Quantum Fluid. Physical Review Letters, *132*, 033804. https://doi.org/10.1103/physrevlett.132.033804.
  2. Zhong, J., & Zhan, Q. (2023). Optical toroidal vortices under topological perspective. Physics, *52*(10), 673-681. (Note: This is a citation for the Chinese journal (Wuli)). An English version of the article is available at: https://www.thepaper.cn/newsDetail_forward_25544446.
  3. Bai, W. (2021). Research on Knot Dynamics in Bose-Einstein Condensates (Doctoral dissertation, Northwest University). https://wf.pub/thesis/article:D02560789.
  4. Zhu, R., Zheng, S., Li, X., Wang, T., Tan, C., Yu, T., Liu, Z., Wang, X., Li, J., Wang, J., & Gao, P. (2024). Atomic-Scale Tracking Topological Phase Transition Dynamics of Polar Vortex-Antivortex Pairs. Advanced Materials, 2312072. https://doi.org/10.1002/adma.202312072.
  5. Jing Wang, Rongzhen Gao, Shiyu Tang, Shouzhe Dong, etc. (2025). General principle of ferroelectric topological domain formation. Science Advances, *11*(7). https://www.science.org/doi/10.1126/sciadv.adu6223.

Academic Statement

Certain analyses and discussions in this paper have referenced and drawn upon recent cutting-edge research published in journals such as Physical Review Letters, Science Advances, and Advanced Materials, including but not limited to topological constraints on vortex-antivortex pairs in quantum fluids, the generation and characterization of optical vortex rings, and knot dynamics in Bose-Einstein condensates. The authors hereby express gratitude to the researchers and teams behind these works. This paper is intended for international academic exchange. Reproduction without permission is prohibited.

Faça Login para curtir, compartilhar e comentar!
Pesquisar
Categorias
Leia Mais
Art
沸石转轮后端中效袋式过滤器：选型、应用与维护全指南
1. 为什么需要中效袋式过滤器？ 沸石转轮在VOCs治理中高效吸附有机物，但在脱附（高温再生）过程中可能产生颗粒物或残留VOCs。中效袋式过滤器（F7-F9）的作用：...
Por 维 黄 2025-06-26 09:02:57 0 2K
Literature
On the Feasibility of Monitoring Crustal Deformation Using a High-Precision Gyroscopes and Sundial Network Based on Topological Vortex Theory (TVT)
III. Challenges and Validation Requirements 3.1 Data Noise Filtering: Crustal deformation...
Por Bao-hua ZHANG 2025-10-14 01:31:16 0 231
Outro
#Directly operated by the factory in the Philippines
1. The first choice for emergency response after a typhoon. A safe house that can be assembled in...
Por Emerson Go 2025-08-18 10:15:03 1 2K
Outro
Hexagonal Terminal Crimping Machine
This machine employs a pneumatic-hydraulic cylinder for a variety of crimping tasks,...
Por Ellen Jiang 2025-10-20 01:45:17 0 52
Literature
Topological Vortex Theory (TVT) Challenges the Quantum Mechanics Paradigm
IV. Innovation in Philosophical Foundations Integrating Kant's concept of the "thing-in-itself,"...
Por Bao-hua ZHANG 2025-10-11 23:26:18 0 299
© 2025 Facebook Portuguese
English Arabic French Spanish Portuguese Deutsch Turkish Dutch Italiano Russian Romaian Portuguese (Brazil) Greek 简体中文 日本語 한국어 繁体中文
Sobre Termos Privacidade Fale Conosco Diretório