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 (4)

部落格 Literature

發表於 2025-10-20 05:27:07

49

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.

請登入後使用點讚,分享和評論功能!

Global Investment Banking Market: Driving Corporate Finance and Strategic Growth

The financial services industry is witnessing transformative growth, with the Investment...

由 2025-10-16 03:57:32 0 186

Fully Automatic Case Packer for Food and Beverage Packaging

Fully Automatic Case Packer for Food and Beverage Packaging Click to quickly check key...

由 2025-06-20 05:56:23 1 2K

RELX悅刻煙彈口味推薦TOP5｜六代英文版煙彈現貨＋台灣電子菸選購指南

台灣電子菸人氣解析｜RELX悅刻煙彈口味推薦與六代煙彈選購指南...

由 2025-08-08 02:35:04 0 1K

山系機能革命！Nike ACG巔峰解密

當玉山雲海漫過稜線，Nike ACG Mountain Fly 2 米黑橙色的鋸齒大底正撕裂碎石坡！這雙被山友封為「移動安全艙」的巔峰戰靴，以軍規級nike acg gore...

由 2025-06-17 01:12:34 0 2K

CELINE儀式感日常：束口後背包領銜時尚革命

在極簡奢華的宇宙裡，CELINE 從不追逐喧囂，卻總能掀起無聲革命。當Triomphe凱旋門老花成為新世代的信仰符碼，品牌將經典靈魂注入日常配件，從實用主義的celine...

由 2025-06-17 01:22:39 0 2K