3.Breakthrough Regarding the Scale Gap
TVT reveals the essential differences between different physical phenomena through scale laws: galactic vortices are governed by continuum mechanics, while quantum vortices are constrained by topological quantum field theory. This layered explanatory capability allows it to describe large-scale energy transfer in Kelvin waves while also addressing the stability of soliton solutions in string theory, forming a dimensional reduction advantage over traditional theories.
IV. Summary
Topological Vortex Theory (TVT) demonstrates significant scientific rationality in explaining two-dimensional physical systems, optical vortex rings, and cosmological phenomena. Spacetime and the complex phenomena it contains originate from the self-organization of simple elements within these two-dimensional physical systems.
Once formed, spacetime vortices self-organize through interactions, giving rise to more complex higher-dimensional spacetime structures. This process is not a disorderly accumulation but follows specific rules—such as superposition, entanglement, deflection, and locking—leading to changes in the system's symmetry, transitioning from one symmetry state to another.
As P. W. Anderson pointed out in his classic paper "More is Different": "The ability to reduce everything to simple fundamental laws does not imply the ability to start from those laws and reconstruct the entire universe." The richness and diversity of nature are not a negation of the fundamental laws but rather a rich expression thereof. "More" is not just a quantitative increase but also a qualitative transition. Differences are not merely oppositions but also diverse manifestations of unity. In this picture, the complexity and simplicity of the universe are harmoniously unified, collectively revealing the profound beauty of natural laws.
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