Rotational and Translational Characteristics of Topological Vortices and Antivortices Based on Perspectives from Loops and Knots (1)

0
1K

Bao-hua ZHANG

Abstract

Based on Topological Vortex Theory (TVT), this paper systematically investigates the fundamental characteristics of vortices and their corresponding antivortices in rotational and translational motion. By introducing topological structures such as loops and knots, the dynamical behaviors of vortex-antivortex pairs, including their interaction mechanisms, structural stability, and their impact on spatiotemporal topology, are analyzed. The results indicate that the difference in the rotational direction between vortices and antivortices can induce a rich variety of topological phase transitions, while their translational motion reveals propagation and evolution characteristics through knot theory. These findings not only deepen the theoretical understanding of topological defect dynamics but also provide a theoretical basis for applications in optical vortices, quantum condensed matter physics, and related cutting-edge fields.

Keywords: Topological Vortex Theory; Vortex-Antivortex Pair; Rotational Characteristics; Translational Characteristics; Loop Structure; Knot Theory

1. Introduction

Topological Vortex Theory (TVT) serves as a fundamental theoretical framework for studying vortex phenomena, typically describing the formation and evolution of vortices using order parameter fields and free energy functionals. As a typical topological defect, the core feature of a vortex is the presence of a phase singularity; the antivortex, as its topological conjugate, exhibits significantly different physical behaviors in rotational and translational motion. Loops and knots, as important tools for characterizing topological invariants, provide key theoretical support for understanding the dynamics of vortex-antivortex pairs. For instance, the phase singularity structure in optical vortices can be described by knot theory to understand its propagation behavior, while vortex-antivortex pairs in quantum condensed matter systems can be analyzed for stability via loop structures. This paper aims to systematically explore the characteristic features of vortices and antivortices during rotation and translation, with a focus on analyzing their intrinsic relationship with topological structures like loops and knots.

Cerca
Categorie
Leggi tutto
Altre informazioni
Current Measurement Devices: Advancing Grid and Equipment Performance
Current Measurement Devices - Current measurement devices enhance electrical system safety and...
By Rupali Wankhede 2025-10-21 14:38:28 0 1K
Religion
relx 悅刻電子菸全新升級|relx 6代煙彈 infinity 2 現貨登場!相容4、5代主機
在電子菸市場中,relx 悅刻電子菸以其穩定的品質與創新設計,成為眾多使用者心中的首選品牌。無論你是新手入門,還是追求高階體驗的老用戶,從 悅刻官網 或 relx 官網...
By ADA ADAD 2025-10-24 02:16:16 0 1K
Home
Fully Automatic Chicken Cages: A Must-Have for Chicken Farming Enthusiasts, Maximizing Efficiency Instantly
Still struggling with a shortage of manpower at your chicken farm and chaotic flock...
By Annnn Annnnn 2025-12-09 01:06:40 0 812
Party
Shiseido 資生堂保養推薦|百優乳霜王、小紅瓶明星精華組與神級水光肌濕敷盒
在眾多日系保養品牌中,shiseido(資生堂) 始終以頂尖科研實力與優雅設計,深受全球女性喜愛。無論是基礎保養還是高階抗老系列,資生堂都能滿足不同膚質與需求。特別是...
By ADA ADAD 2025-08-29 02:51:30 0 2K
Shopping
พาไปรู้จักบุหรี่ไฟฟ้า RELX ครบสูตรทั้งเครื่องและรสชาติ
ใครที่เป็นสายควันหรือเพิ่งสนใจโลกของ บุหรี่ไฟฟ้า relx ต้องบอกเลยว่าคุณมาถูกที่แล้ว...
By Ahr Alice 2025-08-15 01:25:46 0 2K