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

1K

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!

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...

By 2025-10-14 01:31:16 0 1K

犀利士5mg哪裡買？如何購買犀利士每日錠（藥師詳解）

犀利士5mg（Cialis-5毫克）是目前市面上廣受歡迎的長期治療勃起功能障礙（ED）和前列腺肥大（BPH）藥物。它的特點在於每日服用的低劑量，使男性能夠隨時進行性生活，無需計劃或提前服藥。那麼...

By 2025-07-14 03:58:30 0 2K

Germany Cold Chain Monitoring Industry: Market Insights and Growth Trends

The Germany Cold Chain Monitoring Market is witnessing significant expansion, driven by...

By 2025-09-22 11:47:13 0 2K

รีวิวพอตไฟฟ้า RELX Zero พร้อมราคาน่าคบและกลิ่นยอดฮิต

ในช่วงไม่กี่ปีที่ผ่านมา ราคาบุหรี่ไฟฟ้า ได้กลายเป็นจุดสนใจของผู้บริโภคที่ต้องการทางเลือ...

By 2025-07-19 02:07:17 1 2K

The Rising Dominance of Internet Radio Market Share: Shaping the Future of Digital Audio Entertainment

The global Internet Radio Market Share is witnessing significant expansion, driven...

By 2025-10-15 09:51:52 0 1K