Rotational and Translational Characteristics of Topological...

Participar

Entrar

Registrar

Pesquisar

Theme Switcher

Night Mode

Rotational and Translational Characteristics of Topological Vortices and Antivortices Based on Perspectives from Loops and Knots (4)

Blogs Literature

Postado 2025-10-20 05:27:07

1K

4. Topological Significance of Loops and Knots

4.1 Topological Invariants in Loop Structures

As an important topological model for describing vortex-antivortex pairs in three-dimensional space, the stability of loop structures can be characterized by a series of topological invariants. Taking the optical vortex ring as an example, its knot number determines the topological undeformability of the structure. Changes in the knot number can reflect the interaction between vortex-antivortex pairs: co-rotating vortex pairs tend to form stable loop structures with higher knot numbers, while counter-rotating pairs may lead to structural annihilation due to a decrease in the knot number. Therefore, topological invariants provide an important theoretical tool for analyzing the stability of vortex-antivortex pairs.

4.2 Topological Phase Transition Behavior in Knot Theory

Knot theory provides an effective framework for understanding the topological phase transitions of vortex-antivortex pairs. For example, in optical vortices, changes in the kinking number can cause significant transitions in the phase structure. Such phase transitions are closely related to the rotational and translational behaviors of vortex-antivortex pairs: co-rotating vortex pairs help form topological structures with stable kinking numbers, while counter-rotating pairs may trigger topological phase transitions due to abrupt changes in the kinking number. This mechanism provides a theoretical basis for topological control in optical device design and quantum information transmission.

Faça Login para curtir, compartilhar e comentar!

資生堂激彈密澎潤眼霜：打造年輕緊緻明眸的秘密武器

...

Por 2025-05-29 01:54:49 0 3K

Topological Vortex Theory and Its Applications in Artificial Intelligence (2)

2. The Core Connotation of Topological Vortex Theory 2.1 Spacetime Dynamic Network Model TVT...

Por 2025-12-17 02:30:53 0 464

MK斜背包熱度與選購指南

想入手當季熱門與經典耐看款，建議先從 michael kors 官網台灣...

Por 2025-10-27 02:11:12 0 947

รีวิว RELX รุ่น 5 ตัวจริงเสียงจริง

บุหรี่ไฟฟ้า RELX รุ่น 5 คุ้มจริงหรือแค่กระแส? ในโลกของ บุหรี่ไฟฟ้า relx มีหลายรุ่นให้เลือก...

Por 2025-09-05 01:24:02 0 2K

A complete analysis of overseas direct investment filing (ODI)

Driven by the wave of economic globalization, more and more Chinese companies are turning their...

Por 2025-06-19 01:53:02 0 3K