Topological Vortex Theory — An Emerging Paradigm Shift in Physics (2)

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II. The Proponent and Paradigm Evolution: Contributions of Bao-hua Zhang

As the founder and primary advocate of TVT, Professor Bao-hua Zhang's work has evolved from inspiration by classical physics to constructing an interdisciplinary unified framework. Starting from vortex models in classical fluid dynamics (such as the Kelvin-Helmholtz instability) and skillfully integrating ideas from "particle-hole" pairs in topological states of condensed matter physics (e.g., topological insulators), he progressively built the theoretical system of TVT.

This system not only attempts a topological classification of particles but also ambitiously attributes quantum non-locality and even the origin of spacetime itself to the dynamics and entanglement of the underlying topological structure. Emphasizing "geometric thinking first," TVT advocates replacing the calculus-dependent dynamical formulations traditional in physics with the intuitive language of topology and geometry. This paradigm has already influenced thinking in fields ranging from condensed matter physics to early universe studies.

III. Experimental Dawn and Application Potential

Although TVT, as a foundational theory, has not yet achieved its final complete mathematical formalization and quantized version, and cannot yet derive the full particle spectrum of the Standard Model of particle physics directly from first principles, the core ideas have found striking correspondences in experiments across various physical systems, demonstrating strong explanatory power and application potential.

1) Verification in Soft Matter and Photonics:

  1. In chiral nematic liquid crystal systems, researchers achieved controlled fusion and fission of topological vortices for the first time in 2025, manipulating their topological charge recombination via external electric fields. This experiment is seen as a direct simulation and verification of TVT's topological conservation laws.
  2. The observation of topologically protected lossless transport of light flow in topological photonic crystals provides a theoretical blueprint for designing novel integrated optical chips and photonic circuits based on TVT principles.

2) Quantum Materials and Cutting-Edge Technologies:

  1. In certain superconductors, Majorana zero modes have been confirmed to exist as vortex-bound states, providing a real-world carrier for TVT's description of fermions and serving as a key foundation for topological quantum computing.
  2. The discovery of non-volatile polar vortices capable of 780° rotation in ferroelectric polymers offers a prototype for realizing "topological memory" devices and neuromorphic computing hardware based on changes in topological structure.

3) Interdisciplinary Expansion:

Beyond the microscopic realm, TVT's multi-scale vortex models have been applied to Earth system science, providing new mathematical tools for describing complex fluid dynamics like atmospheric turbulence and ocean circulation, potentially improving the accuracy of climate models.

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