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Rotational and Translational Characteristics of Topological Vortices and Antivortices Based on Perspectives from Loops and Knots (2)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...0 Comentários 0 Compartilhamentos 729 Visualizações 0 Anterior
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Rotational and Translational Characteristics of Topological Vortices and Antivortices Based on Perspectives from Loops and Knots (3)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...0 Comentários 0 Compartilhamentos 772 Visualizações 0 Anterior
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Rotational and Translational Characteristics of Topological Vortices and Antivortices Based on Perspectives from Loops and Knots (4)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...0 Comentários 0 Compartilhamentos 750 Visualizações 0 Anterior
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Rotational and Translational Characteristics of Topological Vortices and Antivortices Based on Perspectives from Loops and Knots (5)5. Conclusion Based on Topological Vortex Theory, this paper systematically studied the characteristic features of vortices and antivortices in rotational and translational motion, and thoroughly explored their intrinsic relationships with topological structures such as loops and knots. The research shows that differences in the rotational direction of vortices and antivortices can induce rich...0 Comentários 0 Compartilhamentos 747 Visualizações 0 Anterior
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The Physical Connection Between Topological Vortex Theory (TVT) and Point Defects (1)There exists a profound physical connection between Topological Vortex Theory (TVT) and point defects, primarily manifested in the following aspects: 1. Point Defects as Physical Carriers of Topological Vortices Topological vortices are generated or annihilated at bifurcation points of a three-dimensional vector order parameter, with their cores manifesting as point defects in spacetime....0 Comentários 0 Compartilhamentos 819 Visualizações 0 Anterior
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The Physical Connection Between Topological Vortex Theory (TVT) and Point Defects (2)4. Dynamics and Thermodynamic Evolution of Point Defects TVT links the vortex rotation rate to spacetime "temperature". The dynamical behavior of point defects (such as rotation direction) determines the phase transition process of the spacetime fluid. For example, when the parameter Λ_FAST reaches a critical value, quantum fluctuations induced by point defects can trigger quantum...0 Comentários 0 Compartilhamentos 807 Visualizações 0 Anterior
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