This concept has explanatory power across multiple fields: In cosmology, the release of vortex network tension is used to explain the accelerated expansion of the universe, replacing the traditional dark energy hypothesis. In quantum gravity, quantum fluctuations of microscopic vortices may manifest as macroscopic dark energy density through renormalization effects. In materials science, topological vortices, as macroscopic quantum phenomena, have been experimentally observed in ferromagnetic materials and topological insulators, with their formation closely related to spin-orbit coupling and lattice symmetry changing. This cross-scale unity is the core value of TVT—unifying relativistic geometric dynamics and quantum entanglement within the topological vortex model. For example, the energy-momentum tensor of Einstein's field equations can be reinterpreted as the macroscopic manifestation of energy distribution in the vortex network.
From the intuitive vortex of a flushing toilet to the grand scale of cosmic expansion, Topological Vortex Theory seeks to describe the topological essence of nature using the same mathematical language. When we re-examine gravitational lensing (where increased vortex density causes light path deflection) or black hole entropy (related to entropy corrections from topological defects of vortices), we may discover that the ultimate secrets of the universe might lie within these twisted and entangled spacetime vortices.
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