1.2 Relationship and Differences
1.2.1 Subordination: Topological vortices are one of the subjects studied in TVT, but TVT has a broader scope, encompassing mathematical modeling, physical mechanisms, and philosophical implications of vortices.
1.2.2 Theoretical Extensions: TVT not only describes the static topological properties of vortices (e.g., phase singularities) but also introduces dynamic evolution models, such as vortex mergers triggering topological phase transitions or reconstructing spacetime dynamics through ideal fluid properties.
1.3 Application Scenarios
1.3.1 Topological Vortices: Manifest concretely as magnetic flux vortices in superconductors, phase structures of optical vortex rings, etc. Their study relies on traditional topology (e.g., KT transition).
1.3.2 TVT: Attempts to unify microscopic quantum phenomena (e.g., spin) with macroscopic cosmology (e.g., galactic spiral arms), challenging classical causality and the relativistic view of spacetime.
In summary, topological vortices are physical entities, while TVT is a theoretical system that explains their behavior and extends to more complex systems.
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