Rotational and Translational Characteristics of Topological...

Rotational and Translational Characteristics of Topological Vortices and Antivortices Based on Perspectives from Loops and Knots (2)

Blogs Literature

Posted 2025-10-20 05:13:27

795

2. Rotational Characteristics of Topological Vortices and Antivortices

2.1 Rotational Direction and Angular Velocity Properties

The direction of rotation is a key physical feature distinguishing vortices from antivortices. According to TVT, the rotational direction of a vortex is determined by its topological charge, while that of an antivortex is opposite. Taking optical vortices as an example, a vortex with a topological charge of +1 typically exhibits counterclockwise rotation, whereas an antivortex with a charge of -1 rotates clockwise. This difference in rotational direction leads to rich dynamical behaviors in vortex-antivortex pairs: co-rotating vortex pairs may enhance the system's angular velocity, forming a so-called "warm spacetime" structure; whereas counter-rotating vortex-antivortex pairs may lead to reduced system energy due to angular momentum cancellation, forming a "cold spacetime" or returning to the ground state.

2.2 Analysis of Rotational Stability in Loop Structures

The loop structure is an important topological model for describing the morphology of vortex-antivortex pairs in three-dimensional space. For example, optical vortex rings can form stable topological configurations through closed phase trajectories. Within a loop structure, the rotational directions of the vortex and antivortex directly affect their dynamical stability: co-rotating vortex-antivortex pairs can maintain structural stability utilizing the loop's closure; whereas counter-rotating pairs may undergo topological annihilation due to mutual cancellation of angular velocities. This stability is closely related to topological invariants; for instance, the knot number of the loop can serve as a key indicator for judging the structural stability of a vortex-antivortex pair.

Please log in to like, share and comment!

Spacetime Reconstruction Based on Topological Vortex Spacetime Ontology (TVSTO)(1)

Bao-hua ZHANG I. Absolute Space: Quantized Vortex Ground State Absolute space is redefined...

By 2025-10-29 23:39:48 0 880

An Overview of the Development of Topological Vortex Theory (TVT)

1. Introduction: On the Topological Vortex Theory (TVT) and Topological vortices Topological...

By 2025-10-13 04:22:11 0 966

電子菸煙彈選購指南：從悅刻6代到DIYA煙油全解析

在電子...

By 2025-07-09 02:24:02 1 2K

LCD/org

Edge100%ORG

By 2025-08-07 16:16:52 1 2K

Paper Sheet Box Gluing Machine Bubble Tea and Yogurt Packing Machine

Paper Sheet Box Gluing Machine Bubble Tea and Yogurt Packing Machine Click to quickly check key...

By 2025-08-04 00:20:23 2 2K