Rotational and Translational Characteristics of Topological...

加入

登入

註冊

搜索

主題切換器

夜晚模式

Rotational and Translational Characteristics of Topological Vortices and Antivortices Based on Perspectives from Loops and Knots (3)

部落格 Literature

發表於 2025-10-20 05:22:38

832

3. Translational Characteristics of Topological Vortices and Antivortices

3.1 Translational Motion and Description via Knot Theory

The translational motion of vortices and antivortices can be effectively described by knot theory. This theory focuses on the continuous deformation of vortex trajectories in spacetime, where translational motion corresponds to the overall propagation of these trajectories. Using the optical vortex ring as an example, the translational characteristics of its trajectory can be characterized by the kinking number. Changes in the kinking number reflect the strength of interaction between vortex-antivortex pairs: pairs translating in the same direction tend to form stable knotted structures, while pairs translating in opposite directions may lose stability or even annihilate due to trajectory crossing.

3.2 Coupling Mechanism between Translation and Rotation

There is a significant coupling effect between the translational and rotational behaviors of vortices and antivortices. For instance, in quantum condensed matter systems, the translational velocity of a vortex-antivortex pair is often closely related to its rotational angular velocity. Such coupling behavior can be described by topological dynamical models, where translational motion can be driven by the angular velocity gradient, and changes in rotational motion are fed back through the kinking number. This coupling mechanism can induce a wealth of dynamical phenomena, such as the formation of complex topological structures like Möbius strips.

請登入後使用點讚,分享和評論功能!

🔥 Hello World! 这是我的思想角落

朋友们，今天是个特别的日子！🎉

由 2025-08-27 08:09:29 0 2K

On the Dialectical Unity of Absolute Space and Relative Space (5)

6. Warning Physics should be vigilant: True progress lies in inclusion and synthesis, not in...

由 2025-10-22 06:03:02 0 903

RELX Infinity Plus และอุปกรณ์บุหรี่ไฟฟ้าคุณภาพสูง

หากคุณกำลังมองหา relx infinity plus ที่มาพร้อมเทคโนโลยีล้ำสมัยและดีไซน์หรูหรา...

由 2025-08-19 02:06:44 0 2K

รีวิวสุดปัง! RELX รุ่นไหนใช่สุดสำหรับคุณ

รีวิวสายชิลกับ RELX บุหรี่ไฟฟ้า ใครที่กำลังมองหา relx บุหรี่ไฟฟ้า ดีไซน์หรู ใช้งานง่าย...

由 2025-09-27 01:07:12 0 1K

Topological Vortex Space-Time Ontology (TVSTO)

Topological Vortex Space-Time Ontology (TVSTO) Bao-hua ZHANG I. Introduction Topological...

由 2025-10-10 06:32:45 0 1K