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

0
990

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.

Search
Categories
Read More
Literature
Topological Vortex Theory and Its Application Paradigm in Climate Systems (2)
2. The Theoretical Core of TVT: The Nature of Spacetime and Unification of Quantum Gravity 2.1...
By Bao-hua ZHANG 2025-12-16 05:22:02 0 448
Fitness
Stainless Steel Scale
New Style Stainless Steel Weighing Scale
By Lee Vincent 2025-09-03 03:33:44 0 2K
Home
山东建筑大学机电工程学院“讴歌美丽 建功乡村”团队 赴高密市开展社会实践活动
  山东建筑大学机电工程学院“讴歌美丽 建功乡村”团队 赴高密市姜庄镇开展社会实践活动...
By 侯 毛毛 2025-07-17 15:44:35 0 2K
Shopping
รีวิว RELX Infinity และรุ่นล่าสุดที่ตอบโจทย์สายบุหรี่ไฟฟ้า
ในยุคที่เทคโนโลยีเข้ามามีบทบาทมากขึ้น...
By Chenchen123 Chenchen123 2025-08-20 01:24:10 0 2K
Sports
Adidas Samba 全面解析:經典與潮流的鞋款推薦
在球鞋文化持續升溫的今天,samba 鞋 已成為潮流人士與運動愛好者的共同焦點。源自 1950 年代的經典足球鞋設計,Adidas Samba...
By Abv 134 2025-09-26 02:01:15 0 1K