The Disciplinary Reconstruction of Replacing Quantum Materials with Topological Materials Based on Topological Vortex Theory (4)

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4. Conclusion and Outlook

The concept of "Quantum Materials," due to its ambiguity, may hinder scientific progress. In contrast, Topological Materials, based on a rigorous mathematical framework—particularly Topological Vortex Theory (TVT) —provide a clearer and more reliable theoretical tool for matter research. Future research should:

  1. Unify Terminology: Replace "Quantum Materials" with "Topological Materials".
  2. Deepen Vortex Research: Explore the applications of vortex-anti-vortex pairs in quantum (topological quantum) computing and cosmology.
  3. Foster Interdisciplinary Collaboration: Promote the cross-disciplinary development of topological theory in particle physics, materials science, and cosmology.

The rise of Topological Materials is not merely an optimization of terminology but a return to scientific rigor, poised to lead materials science into a new stage of development.

References

  1. Thouless, D. J. (2016). Topological Quantum Mechanics. Princeton University Press.
  2. Nagaosa, N., & Tokura, Y. (2013). Topological properties and phenomena in materials. Nature Materials, 12(10), 797–804.
  3. Volovik, G. E. (2003). The Universe in a Helium Droplet. Oxford University Press.
  4. Ginzburg, V. L., & Landau, L. D. (1950). On the theory of superconductivity. Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki, 20, 1064–1082.
  5. Fradkin, E. (2013). Quantum matter and beyond. Physics Today, 66(11), 38–44.

Academic Statement

This paper articulates the necessity of replacing the term “quantum materials” with “topological materials” as a core disciplinary concept, based on the Topological Vortex Theory (TVT). By examining the conceptual clarity of both categories, it establishes that the ambiguity surrounding “quantum materials” may foster pseudoscientific interpretations (e.g., “quantum mysticism”), whereas topological materials—grounded in mathematical topology—provide rigorously defined constructs (such as topological vortices, anti-vortices, and topological invariants) that serve as a more robust foundation for material research. Furthermore, the study demonstrates that the self-organization and interactions of topological vortices hold substantial theoretical and applied value across multiple fields, including particle physics, materials science, and cosmology. It is recommended that the academic community adopt consistent terminology to foster further research in topological materials, thereby enhancing scientific rigor and promoting interdisciplinary collaboration.

The author welcomes discussion, critique, and feedback based on scientific spirit and rigorous academic standards. Any individual or organization quoting the viewpoints, conclusions, or parts of the content of this paper must provide proper citation to ensure academic integrity and the continuity of knowledge. It may not be used for commercial purposes without authorization.

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