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The Simplicity and Explanatory Power of Topological Vortex Theory (TVT)

部落格 Literature

發表於 2025-10-11 06:55:31

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3.Dimensionality Reduction for Explaining Complex Phenomena

TVT unifies vortex phenomena from galactic scales to quantum scales as macroscopic manifestations of the same topological mechanism. For instance, gravitational fields correspond to vortex density distributions, and geometric tension is equivalent to the energy-momentum tensor in Einstein's field equations. This cross-scale simplification avoids the redundancy of multiple coexisting theories, conforming to the philosophical basis of simplicity—"falsifiability."

TVT emphasizes the primacy of mathematics as the "language for writing the universe," suggesting that the foundation of its simplicity principle lies in mathematical self-consistency rather than empirical completeness.

III. The Explanatory Power of Topological Vortex Theory

The explanatory power demonstrated by TVT originates from the high compatibility between its unique mathematical framework and physical phenomena. Its advantages are analyzed from three dimensions below:

1.Cross-Scale Unity

Through core concepts like topological charge and phase singularities, TVT incorporates both the macroscopic vortex structure of galactic spiral arms and the microscopic quantum vortex of particle spin into a single theoretical system. This unity is reflected in: 1) Galactic spiral arms are modeled as topological density wave vortices in the gravitational field, their stability maintained by topological protection mechanisms; 2) Particle spin is interpreted as an intrinsic phase vortex at the quantum level, sharing topological mathematical representations with macroscopic vortices.

2.Superiority of Mathematical Tools

TVT employs mathematical tools like knot theory (kink solutions). Their static solutions can stably connect different vacuum states, and this topological stability provides a natural model for explaining the conservation of angular momentum in celestial body rotation and the intrinsic properties of quantum particles. In contrast, vortex descriptions in traditional fluid dynamics rely on the Navier-Stokes equations, which cannot handle the continuity from quantum to cosmic scales.

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