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April 28, 2026Open Access

Topological Vortex Logic: Stable Winding States on the Three-Torus and Their Classification

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Authors

VMVladimer Merebashvili

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Implication

Randomized trial establishes classification of stable vortex states in three-torus, suggesting new insights for theoretical physics.

Key Points

  • The central aim is to classify stable winding states on the three-dimensional torus with supreme geometric considerations.
  • Derived five theorems based on the T³/Z₃ geometry without free parameters.
  • Analyzed algebraic properties and stable shells using theoretical frameworks.
  • Utilized topological invariants to categorize vortex states.
  • Identified 26 stable winding states categorized into families based on |w|² values.
  • Established Z₃ charge as a partition of vortex states into singlet and charge states.
  • Demonstrated non-isomorphism among vortex families through their distinct configurations.

Cite This Study

Vladimer Merebashvili (2026) studied this question.

synapsesocial.com/papers/69f04e9b727298f751e728fchttps://doi.org/10.5281/zenodo.19779092
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