1. Introduction: On the Topological Vortex Theory (TVT) and Topological vortices
Topological vortices and the Topological Vortex Theory (TVT) are closely related yet distinct concepts. Their differences can be analyzed from the following dimensions:
1.1 Definition and Scope
1.1.1 Topological Vortices: Refer to vortex structures with topological defects, commonly found in physical phenomena such as fluids, superconductors, and optical systems. Examples include quantum vortices in superfluids, density wave vortices in galactic spiral arms, or the hairy ball theorem phenomenon in hair whorls. Their core characteristic is stability determined by topological invariants (e.g., winding number, Chern number).
1.1.2 Topological Vortex Theory (TVT): A theoretical framework that views spacetime as a dynamic network of topological vortices, explaining matter distribution, quantum entanglement, and cosmic structure through topological phase transitions. For instance, TVT proposes that the topological charge of spacetime vortices can influence causality, or redefines the nature of time through vortex spin.
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