The Physical Connection Between Topological Vortex Theory (TVT) and Point Defects (2)

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Posted 2025-10-17 05:43:54
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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 turbulence, driving the transition of spacetime from a rigid phase to a fluid phase.

5. Mathematical Framework and Experimental Verification of Point Defects

TVT establishes a universal mathematical model for point defects, including free energy functionals and phase singularity theory. Numerical simulations predict that point defect networks can generate gravitational structures resembling dark matter halos, while vortex arrays in Bose-Einstein condensates offer a potential pathway for experimental verification.

6. Conclusion

Topological Vortex Theory (TVT) treats point defects as microscopic manifestations of topological vortices. Their symmetry, stability, and dynamical behavior collectively form the foundation of spacetime evolution and material interactions. The scientific significance of this theory lies in revealing through mathematical models that: (1) The gravitational field of topological vortices can evolve from cusp singularities into complex spacetime structures; (2) The unstable nature of point defect systems is a key driving force for cosmic matter evolution; (3) The phenomenon of quantum spin is essentially a macroscopic manifestation of topological vortex interactions.

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